--- _id: '739' abstract: - lang: eng text: We study the norm approximation to the Schrödinger dynamics of N bosons in with an interaction potential of the form . Assuming that in the initial state the particles outside of the condensate form a quasi-free state with finite kinetic energy, we show that in the large N limit, the fluctuations around the condensate can be effectively described using Bogoliubov approximation for all . The range of β is expected to be optimal for this large class of initial states. article_processing_charge: No author: - first_name: Phan full_name: Nam, Phan id: 404092F4-F248-11E8-B48F-1D18A9856A87 last_name: Nam - first_name: Marcin M full_name: Napiórkowski, Marcin M id: 4197AD04-F248-11E8-B48F-1D18A9856A87 last_name: Napiórkowski citation: ama: Nam P, Napiórkowski MM. A note on the validity of Bogoliubov correction to mean field dynamics. Journal de Mathématiques Pures et Appliquées. 2017;108(5):662-688. doi:10.1016/j.matpur.2017.05.013 apa: Nam, P., & Napiórkowski, M. M. (2017). A note on the validity of Bogoliubov correction to mean field dynamics. Journal de Mathématiques Pures et Appliquées. Elsevier. https://doi.org/10.1016/j.matpur.2017.05.013 chicago: Nam, Phan, and Marcin M Napiórkowski. “A Note on the Validity of Bogoliubov Correction to Mean Field Dynamics.” Journal de Mathématiques Pures et Appliquées. Elsevier, 2017. https://doi.org/10.1016/j.matpur.2017.05.013. ieee: P. Nam and M. M. Napiórkowski, “A note on the validity of Bogoliubov correction to mean field dynamics,” Journal de Mathématiques Pures et Appliquées, vol. 108, no. 5. Elsevier, pp. 662–688, 2017. ista: Nam P, Napiórkowski MM. 2017. A note on the validity of Bogoliubov correction to mean field dynamics. Journal de Mathématiques Pures et Appliquées. 108(5), 662–688. mla: Nam, Phan, and Marcin M. Napiórkowski. “A Note on the Validity of Bogoliubov Correction to Mean Field Dynamics.” Journal de Mathématiques Pures et Appliquées, vol. 108, no. 5, Elsevier, 2017, pp. 662–88, doi:10.1016/j.matpur.2017.05.013. short: P. Nam, M.M. Napiórkowski, Journal de Mathématiques Pures et Appliquées 108 (2017) 662–688. date_created: 2018-12-11T11:48:15Z date_published: 2017-11-01T00:00:00Z date_updated: 2023-09-27T12:52:07Z day: '01' department: - _id: RoSe doi: 10.1016/j.matpur.2017.05.013 external_id: isi: - '000414113600003' intvolume: ' 108' isi: 1 issue: '5' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1604.05240 month: '11' oa: 1 oa_version: Submitted Version page: 662 - 688 project: - _id: 25C878CE-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P27533_N27 name: Structure of the Excitation Spectrum for Many-Body Quantum Systems publication: Journal de Mathématiques Pures et Appliquées publication_identifier: issn: - '00217824' publication_status: published publisher: Elsevier publist_id: '6928' quality_controlled: '1' scopus_import: '1' status: public title: A note on the validity of Bogoliubov correction to mean field dynamics type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 108 year: '2017' ... --- _id: '997' abstract: - lang: eng text: Recently it was shown that molecules rotating in superfluid helium can be described in terms of the angulon quasiparticles (Phys. Rev. Lett. 118, 095301 (2017)). Here we demonstrate that in the experimentally realized regime the angulon can be seen as a point charge on a 2-sphere interacting with a gauge field of a non-abelian magnetic monopole. Unlike in several other settings, the gauge fields of the angulon problem emerge in the real coordinate space, as opposed to the momentum space or some effective parameter space. Furthermore, we find a topological transition associated with making the monopole abelian, which takes place in the vicinity of the previously reported angulon instabilities. These results pave the way for studying topological phenomena in experiments on molecules trapped in superfluid helium nanodroplets, as well as on other realizations of orbital impurity problems. article_number: '235301' article_processing_charge: No article_type: original author: - first_name: Enderalp full_name: Yakaboylu, Enderalp id: 38CB71F6-F248-11E8-B48F-1D18A9856A87 last_name: Yakaboylu orcid: 0000-0001-5973-0874 - first_name: Andreas full_name: Deuchert, Andreas id: 4DA65CD0-F248-11E8-B48F-1D18A9856A87 last_name: Deuchert orcid: 0000-0003-3146-6746 - first_name: Mikhail full_name: Lemeshko, Mikhail id: 37CB05FA-F248-11E8-B48F-1D18A9856A87 last_name: Lemeshko orcid: 0000-0002-6990-7802 citation: ama: Yakaboylu E, Deuchert A, Lemeshko M. Emergence of non-abelian magnetic monopoles in a quantum impurity problem. Physical Review Letters. 2017;119(23). doi:10.1103/PhysRevLett.119.235301 apa: Yakaboylu, E., Deuchert, A., & Lemeshko, M. (2017). Emergence of non-abelian magnetic monopoles in a quantum impurity problem. Physical Review Letters. American Physical Society. https://doi.org/10.1103/PhysRevLett.119.235301 chicago: Yakaboylu, Enderalp, Andreas Deuchert, and Mikhail Lemeshko. “Emergence of Non-Abelian Magnetic Monopoles in a Quantum Impurity Problem.” Physical Review Letters. American Physical Society, 2017. https://doi.org/10.1103/PhysRevLett.119.235301. ieee: E. Yakaboylu, A. Deuchert, and M. Lemeshko, “Emergence of non-abelian magnetic monopoles in a quantum impurity problem,” Physical Review Letters, vol. 119, no. 23. American Physical Society, 2017. ista: Yakaboylu E, Deuchert A, Lemeshko M. 2017. Emergence of non-abelian magnetic monopoles in a quantum impurity problem. Physical Review Letters. 119(23), 235301. mla: Yakaboylu, Enderalp, et al. “Emergence of Non-Abelian Magnetic Monopoles in a Quantum Impurity Problem.” Physical Review Letters, vol. 119, no. 23, 235301, American Physical Society, 2017, doi:10.1103/PhysRevLett.119.235301. short: E. Yakaboylu, A. Deuchert, M. Lemeshko, Physical Review Letters 119 (2017). date_created: 2018-12-11T11:49:36Z date_published: 2017-12-06T00:00:00Z date_updated: 2023-10-10T13:31:54Z day: '06' department: - _id: MiLe - _id: RoSe doi: 10.1103/PhysRevLett.119.235301 ec_funded: 1 external_id: arxiv: - '1705.05162' isi: - '000417132100007' intvolume: ' 119' isi: 1 issue: '23' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1705.05162 month: '12' oa: 1 oa_version: Preprint project: - _id: 25681D80-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '291734' name: International IST Postdoc Fellowship Programme - _id: 25C6DC12-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '694227' name: Analysis of quantum many-body systems - _id: 26031614-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P29902 name: Quantum rotations in the presence of a many-body environment publication: Physical Review Letters publication_identifier: issn: - 0031-9007 publication_status: published publisher: American Physical Society publist_id: '6401' quality_controlled: '1' scopus_import: '1' status: public title: Emergence of non-abelian magnetic monopoles in a quantum impurity problem type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 119 year: '2017' ... --- _id: '912' abstract: - lang: eng text: "We consider a many-body system of fermionic atoms interacting via a local pair potential and subject to an external potential within the framework of Bardeen-Cooper-Schrieffer (BCS) theory. We measure the free energy of the whole sample with respect to the free energy of a reference state which allows us to define a BCS functional with boundary conditions at infinity. Our main result is a lower bound for this energy functional in terms of expressions that typically appear in Ginzburg-Landau functionals.\r\n" article_number: '081901' article_processing_charge: No author: - first_name: Andreas full_name: Deuchert, Andreas id: 4DA65CD0-F248-11E8-B48F-1D18A9856A87 last_name: Deuchert orcid: 0000-0003-3146-6746 citation: ama: Deuchert A. A lower bound for the BCS functional with boundary conditions at infinity. Journal of Mathematical Physics. 2017;58(8). doi:10.1063/1.4996580 apa: Deuchert, A. (2017). A lower bound for the BCS functional with boundary conditions at infinity. Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/1.4996580 chicago: Deuchert, Andreas. “A Lower Bound for the BCS Functional with Boundary Conditions at Infinity.” Journal of Mathematical Physics. AIP Publishing, 2017. https://doi.org/10.1063/1.4996580. ieee: A. Deuchert, “A lower bound for the BCS functional with boundary conditions at infinity,” Journal of Mathematical Physics, vol. 58, no. 8. AIP Publishing, 2017. ista: Deuchert A. 2017. A lower bound for the BCS functional with boundary conditions at infinity. Journal of Mathematical Physics. 58(8), 081901. mla: Deuchert, Andreas. “A Lower Bound for the BCS Functional with Boundary Conditions at Infinity.” Journal of Mathematical Physics, vol. 58, no. 8, 081901, AIP Publishing, 2017, doi:10.1063/1.4996580. short: A. Deuchert, Journal of Mathematical Physics 58 (2017). date_created: 2018-12-11T11:49:10Z date_published: 2017-08-01T00:00:00Z date_updated: 2024-02-28T13:07:56Z day: '01' department: - _id: RoSe doi: 10.1063/1.4996580 ec_funded: 1 external_id: isi: - '000409197200015' intvolume: ' 58' isi: 1 issue: '8' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1703.04616 month: '08' oa: 1 oa_version: Submitted Version project: - _id: 25C6DC12-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '694227' name: Analysis of quantum many-body systems publication: ' Journal of Mathematical Physics' publication_identifier: issn: - '00222488' publication_status: published publisher: AIP Publishing publist_id: '6531' quality_controlled: '1' scopus_import: '1' status: public title: A lower bound for the BCS functional with boundary conditions at infinity type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 58 year: '2017' ... --- _id: '1143' abstract: - lang: eng text: We study the ground state of a dilute Bose gas in a scaling limit where the Gross-Pitaevskii functional emerges. This is a repulsive nonlinear Schrödinger functional whose quartic term is proportional to the scattering length of the interparticle interaction potential. We propose a new derivation of this limit problem, with a method that bypasses some of the technical difficulties that previous derivations had to face. The new method is based on a combination of Dyson\'s lemma, the quantum de Finetti theorem and a second moment estimate for ground states of the effective Dyson Hamiltonian. It applies equally well to the case where magnetic fields or rotation are present. author: - first_name: Phan full_name: Nam, Phan id: 404092F4-F248-11E8-B48F-1D18A9856A87 last_name: Nam - first_name: Nicolas full_name: Rougerie, Nicolas last_name: Rougerie - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: 'Nam P, Rougerie N, Seiringer R. Ground states of large bosonic systems: The gross Pitaevskii limit revisited. Analysis and PDE. 2016;9(2):459-485. doi:10.2140/apde.2016.9.459' apa: 'Nam, P., Rougerie, N., & Seiringer, R. (2016). Ground states of large bosonic systems: The gross Pitaevskii limit revisited. Analysis and PDE. Mathematical Sciences Publishers. https://doi.org/10.2140/apde.2016.9.459' chicago: 'Nam, Phan, Nicolas Rougerie, and Robert Seiringer. “Ground States of Large Bosonic Systems: The Gross Pitaevskii Limit Revisited.” Analysis and PDE. Mathematical Sciences Publishers, 2016. https://doi.org/10.2140/apde.2016.9.459.' ieee: 'P. Nam, N. Rougerie, and R. Seiringer, “Ground states of large bosonic systems: The gross Pitaevskii limit revisited,” Analysis and PDE, vol. 9, no. 2. Mathematical Sciences Publishers, pp. 459–485, 2016.' ista: 'Nam P, Rougerie N, Seiringer R. 2016. Ground states of large bosonic systems: The gross Pitaevskii limit revisited. Analysis and PDE. 9(2), 459–485.' mla: 'Nam, Phan, et al. “Ground States of Large Bosonic Systems: The Gross Pitaevskii Limit Revisited.” Analysis and PDE, vol. 9, no. 2, Mathematical Sciences Publishers, 2016, pp. 459–85, doi:10.2140/apde.2016.9.459.' short: P. Nam, N. Rougerie, R. Seiringer, Analysis and PDE 9 (2016) 459–485. date_created: 2018-12-11T11:50:23Z date_published: 2016-03-24T00:00:00Z date_updated: 2021-01-12T06:48:36Z day: '24' department: - _id: RoSe doi: 10.2140/apde.2016.9.459 ec_funded: 1 intvolume: ' 9' issue: '2' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1503.07061 month: '03' oa: 1 oa_version: Preprint page: 459 - 485 project: - _id: 25681D80-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '291734' name: International IST Postdoc Fellowship Programme publication: Analysis and PDE publication_status: published publisher: Mathematical Sciences Publishers publist_id: '6215' quality_controlled: '1' scopus_import: 1 status: public title: 'Ground states of large bosonic systems: The gross Pitaevskii limit revisited' type: journal_article user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 9 year: '2016' ... --- _id: '1259' abstract: - lang: eng text: We consider the Bogolubov–Hartree–Fock functional for a fermionic many-body system with two-body interactions. For suitable interaction potentials that have a strong enough attractive tail in order to allow for two-body bound states, but are otherwise sufficiently repulsive to guarantee stability of the system, we show that in the low-density limit the ground state of this model consists of a Bose–Einstein condensate of fermion pairs. The latter can be described by means of the Gross–Pitaevskii energy functional. acknowledgement: Partial financial support from the DFG grant GRK 1838, as well as the Austrian Science Fund (FWF), project Nr. P 27533-N27 (R.S.), is gratefully acknowledged. article_number: '13' article_processing_charge: Yes (via OA deal) author: - first_name: Gerhard full_name: Bräunlich, Gerhard last_name: Bräunlich - first_name: Christian full_name: Hainzl, Christian last_name: Hainzl - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Bräunlich G, Hainzl C, Seiringer R. Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit. Mathematical Physics, Analysis and Geometry. 2016;19(2). doi:10.1007/s11040-016-9209-x apa: Bräunlich, G., Hainzl, C., & Seiringer, R. (2016). Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit. Mathematical Physics, Analysis and Geometry. Springer. https://doi.org/10.1007/s11040-016-9209-x chicago: Bräunlich, Gerhard, Christian Hainzl, and Robert Seiringer. “Bogolubov–Hartree–Fock Theory for Strongly Interacting Fermions in the Low Density Limit.” Mathematical Physics, Analysis and Geometry. Springer, 2016. https://doi.org/10.1007/s11040-016-9209-x. ieee: G. Bräunlich, C. Hainzl, and R. Seiringer, “Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit,” Mathematical Physics, Analysis and Geometry, vol. 19, no. 2. Springer, 2016. ista: Bräunlich G, Hainzl C, Seiringer R. 2016. Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit. Mathematical Physics, Analysis and Geometry. 19(2), 13. mla: Bräunlich, Gerhard, et al. “Bogolubov–Hartree–Fock Theory for Strongly Interacting Fermions in the Low Density Limit.” Mathematical Physics, Analysis and Geometry, vol. 19, no. 2, 13, Springer, 2016, doi:10.1007/s11040-016-9209-x. short: G. Bräunlich, C. Hainzl, R. Seiringer, Mathematical Physics, Analysis and Geometry 19 (2016). date_created: 2018-12-11T11:50:59Z date_published: 2016-06-01T00:00:00Z date_updated: 2021-01-12T06:49:27Z day: '01' ddc: - '510' - '539' department: - _id: RoSe doi: 10.1007/s11040-016-9209-x file: - access_level: open_access checksum: 9954f685cc25c58d7f1712c67b47ad8d content_type: application/pdf creator: system date_created: 2018-12-12T10:09:13Z date_updated: 2020-07-14T12:44:42Z file_id: '4736' file_name: IST-2016-702-v1+1_s11040-016-9209-x.pdf file_size: 506242 relation: main_file file_date_updated: 2020-07-14T12:44:42Z has_accepted_license: '1' intvolume: ' 19' issue: '2' language: - iso: eng license: https://creativecommons.org/licenses/by/4.0/ month: '06' oa: 1 oa_version: Published Version project: - _id: 25C878CE-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P27533_N27 name: Structure of the Excitation Spectrum for Many-Body Quantum Systems publication: Mathematical Physics, Analysis and Geometry publication_status: published publisher: Springer publist_id: '6066' pubrep_id: '702' quality_controlled: '1' scopus_import: 1 status: public title: Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 19 year: '2016' ... --- _id: '1267' abstract: - lang: eng text: We give a simplified proof of the nonexistence of large nuclei in the liquid drop model and provide an explicit bound. Our bound is within a factor of 2.3 of the conjectured value and seems to be the first quantitative result. acknowledgement: "Open access funding provided by Institute of Science and Technology Austria.\r\n" author: - first_name: Rupert full_name: Frank, Rupert last_name: Frank - first_name: Rowan full_name: Killip, Rowan last_name: Killip - first_name: Phan full_name: Nam, Phan id: 404092F4-F248-11E8-B48F-1D18A9856A87 last_name: Nam citation: ama: Frank R, Killip R, Nam P. Nonexistence of large nuclei in the liquid drop model. Letters in Mathematical Physics. 2016;106(8):1033-1036. doi:10.1007/s11005-016-0860-8 apa: Frank, R., Killip, R., & Nam, P. (2016). Nonexistence of large nuclei in the liquid drop model. Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-016-0860-8 chicago: Frank, Rupert, Rowan Killip, and Phan Nam. “Nonexistence of Large Nuclei in the Liquid Drop Model.” Letters in Mathematical Physics. Springer, 2016. https://doi.org/10.1007/s11005-016-0860-8. ieee: R. Frank, R. Killip, and P. Nam, “Nonexistence of large nuclei in the liquid drop model,” Letters in Mathematical Physics, vol. 106, no. 8. Springer, pp. 1033–1036, 2016. ista: Frank R, Killip R, Nam P. 2016. Nonexistence of large nuclei in the liquid drop model. Letters in Mathematical Physics. 106(8), 1033–1036. mla: Frank, Rupert, et al. “Nonexistence of Large Nuclei in the Liquid Drop Model.” Letters in Mathematical Physics, vol. 106, no. 8, Springer, 2016, pp. 1033–36, doi:10.1007/s11005-016-0860-8. short: R. Frank, R. Killip, P. Nam, Letters in Mathematical Physics 106 (2016) 1033–1036. date_created: 2018-12-11T11:51:02Z date_published: 2016-08-01T00:00:00Z date_updated: 2021-01-12T06:49:30Z day: '01' ddc: - '510' - '539' department: - _id: RoSe doi: 10.1007/s11005-016-0860-8 file: - access_level: open_access checksum: d740a6a226e0f5f864f40e3e269d3cc0 content_type: application/pdf creator: system date_created: 2018-12-12T10:11:09Z date_updated: 2020-07-14T12:44:42Z file_id: '4863' file_name: IST-2016-698-v1+1_s11005-016-0860-8.pdf file_size: 349464 relation: main_file file_date_updated: 2020-07-14T12:44:42Z has_accepted_license: '1' intvolume: ' 106' issue: '8' language: - iso: eng month: '08' oa: 1 oa_version: Published Version page: 1033 - 1036 project: - _id: 25C878CE-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P27533_N27 name: Structure of the Excitation Spectrum for Many-Body Quantum Systems - _id: B67AFEDC-15C9-11EA-A837-991A96BB2854 name: IST Austria Open Access Fund publication: Letters in Mathematical Physics publication_status: published publisher: Springer publist_id: '6054' pubrep_id: '698' quality_controlled: '1' scopus_import: 1 status: public title: Nonexistence of large nuclei in the liquid drop model tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 106 year: '2016' ... --- _id: '1291' abstract: - lang: eng text: We consider Ising models in two and three dimensions, with short range ferromagnetic and long range, power-law decaying, antiferromagnetic interactions. We let J be the ratio between the strength of the ferromagnetic to antiferromagnetic interactions. The competition between these two kinds of interactions induces the system to form domains of minus spins in a background of plus spins, or vice versa. If the decay exponent p of the long range interaction is larger than d + 1, with d the space dimension, this happens for all values of J smaller than a critical value Jc(p), beyond which the ground state is homogeneous. In this paper, we give a characterization of the infinite volume ground states of the system, for p > 2d and J in a left neighborhood of Jc(p). In particular, we prove that the quasi-one-dimensional states consisting of infinite stripes (d = 2) or slabs (d = 3), all of the same optimal width and orientation, and alternating magnetization, are infinite volume ground states. Our proof is based on localization bounds combined with reflection positivity. acknowledgement: "Open access funding provided by Institute of Science and Technology (IST Austria). The\r\nresearch leading to these results has received funding from the European Research Council under the European\r\nUnion’s Seventh Framework Programme ERC Starting Grant CoMBoS (Grant Agreement No. 239694), from\r\nthe Italian PRIN National Grant Geometric and analytic theory of Hamiltonian systems in finite and infinite\r\ndimensions, and the Austrian Science Fund (FWF), project Nr. P 27533-N27. Part of this work was completed\r\nduring a stay at the Erwin Schrödinger Institute for Mathematical Physics in Vienna (ESI program 2015\r\n“Quantum many-body systems, random matrices, and disorder”), whose hospitality and financial support is\r\ngratefully acknowledged." author: - first_name: Alessandro full_name: Giuliani, Alessandro last_name: Giuliani - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Giuliani A, Seiringer R. Periodic striped ground states in Ising models with competing interactions. Communications in Mathematical Physics. 2016;347(3):983-1007. doi:10.1007/s00220-016-2665-0 apa: Giuliani, A., & Seiringer, R. (2016). Periodic striped ground states in Ising models with competing interactions. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-016-2665-0 chicago: Giuliani, Alessandro, and Robert Seiringer. “Periodic Striped Ground States in Ising Models with Competing Interactions.” Communications in Mathematical Physics. Springer, 2016. https://doi.org/10.1007/s00220-016-2665-0. ieee: A. Giuliani and R. Seiringer, “Periodic striped ground states in Ising models with competing interactions,” Communications in Mathematical Physics, vol. 347, no. 3. Springer, pp. 983–1007, 2016. ista: Giuliani A, Seiringer R. 2016. Periodic striped ground states in Ising models with competing interactions. Communications in Mathematical Physics. 347(3), 983–1007. mla: Giuliani, Alessandro, and Robert Seiringer. “Periodic Striped Ground States in Ising Models with Competing Interactions.” Communications in Mathematical Physics, vol. 347, no. 3, Springer, 2016, pp. 983–1007, doi:10.1007/s00220-016-2665-0. short: A. Giuliani, R. Seiringer, Communications in Mathematical Physics 347 (2016) 983–1007. date_created: 2018-12-11T11:51:11Z date_published: 2016-11-01T00:00:00Z date_updated: 2021-01-12T06:49:40Z day: '01' ddc: - '510' - '530' department: - _id: RoSe doi: 10.1007/s00220-016-2665-0 file: - access_level: open_access checksum: 3c6e08c048fc462e312788be72874bb1 content_type: application/pdf creator: system date_created: 2018-12-12T10:09:02Z date_updated: 2020-07-14T12:44:42Z file_id: '4725' file_name: IST-2016-688-v1+1_s00220-016-2665-0.pdf file_size: 794983 relation: main_file file_date_updated: 2020-07-14T12:44:42Z has_accepted_license: '1' intvolume: ' 347' issue: '3' language: - iso: eng month: '11' oa: 1 oa_version: Published Version page: 983 - 1007 project: - _id: 25C878CE-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P27533_N27 name: Structure of the Excitation Spectrum for Many-Body Quantum Systems - _id: B67AFEDC-15C9-11EA-A837-991A96BB2854 name: IST Austria Open Access Fund publication: Communications in Mathematical Physics publication_status: published publisher: Springer publist_id: '6025' pubrep_id: '688' quality_controlled: '1' scopus_import: 1 status: public title: Periodic striped ground states in Ising models with competing interactions tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 347 year: '2016' ... --- _id: '1428' abstract: - lang: eng text: We report on a mathematically rigorous analysis of the superfluid properties of a Bose- Einstein condensate in the many-body ground state of a one-dimensional model of interacting bosons in a random potential. article_number: '012016' author: - first_name: Martin full_name: Könenberg, Martin last_name: Könenberg - first_name: Thomas full_name: Moser, Thomas id: 2B5FC9A4-F248-11E8-B48F-1D18A9856A87 last_name: Moser - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 - first_name: Jakob full_name: Yngvason, Jakob last_name: Yngvason citation: ama: 'Könenberg M, Moser T, Seiringer R, Yngvason J. Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential. In: Journal of Physics: Conference Series. Vol 691. IOP Publishing Ltd.; 2016. doi:10.1088/1742-6596/691/1/012016' apa: 'Könenberg, M., Moser, T., Seiringer, R., & Yngvason, J. (2016). Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential. In Journal of Physics: Conference Series (Vol. 691). Shanghai, China: IOP Publishing Ltd. https://doi.org/10.1088/1742-6596/691/1/012016' chicago: 'Könenberg, Martin, Thomas Moser, Robert Seiringer, and Jakob Yngvason. “Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential.” In Journal of Physics: Conference Series, Vol. 691. IOP Publishing Ltd., 2016. https://doi.org/10.1088/1742-6596/691/1/012016.' ieee: 'M. Könenberg, T. Moser, R. Seiringer, and J. Yngvason, “Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential,” in Journal of Physics: Conference Series, Shanghai, China, 2016, vol. 691, no. 1.' ista: 'Könenberg M, Moser T, Seiringer R, Yngvason J. 2016. Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential. Journal of Physics: Conference Series. 24th International Laser Physics Workshop (LPHYS’15) vol. 691, 012016.' mla: 'Könenberg, Martin, et al. “Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential.” Journal of Physics: Conference Series, vol. 691, no. 1, 012016, IOP Publishing Ltd., 2016, doi:10.1088/1742-6596/691/1/012016.' short: 'M. Könenberg, T. Moser, R. Seiringer, J. Yngvason, in:, Journal of Physics: Conference Series, IOP Publishing Ltd., 2016.' conference: end_date: 2015-08-25 location: Shanghai, China name: 24th International Laser Physics Workshop (LPHYS'15) start_date: 2015-08-21 date_created: 2018-12-11T11:51:58Z date_published: 2016-03-07T00:00:00Z date_updated: 2021-01-12T06:50:40Z day: '07' ddc: - '510' - '530' department: - _id: RoSe doi: 10.1088/1742-6596/691/1/012016 file: - access_level: open_access checksum: 109db801749072c3f6c8f1a1848700fa content_type: application/pdf creator: system date_created: 2018-12-12T10:10:55Z date_updated: 2020-07-14T12:44:53Z file_id: '4847' file_name: IST-2016-585-v1+1_JPCS_691_1_012016.pdf file_size: 1434688 relation: main_file file_date_updated: 2020-07-14T12:44:53Z has_accepted_license: '1' intvolume: ' 691' issue: '1' language: - iso: eng month: '03' oa: 1 oa_version: Published Version project: - _id: 25C878CE-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P27533_N27 name: Structure of the Excitation Spectrum for Many-Body Quantum Systems publication: 'Journal of Physics: Conference Series' publication_status: published publisher: IOP Publishing Ltd. publist_id: '5770' pubrep_id: '585' quality_controlled: '1' scopus_import: 1 status: public title: Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: conference user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 691 year: '2016' ... --- _id: '1422' abstract: - lang: eng text: We study the time-dependent Bogoliubov–de-Gennes equations for generic translation-invariant fermionic many-body systems. For initial states that are close to thermal equilibrium states at temperatures near the critical temperature, we show that the magnitude of the order parameter stays approximately constant in time and, in particular, does not follow a time-dependent Ginzburg–Landau equation, which is often employed as a phenomenological description and predicts a decay of the order parameter in time. The full non-linear structure of the equations is necessary to understand this behavior. acknowledgement: 'Open access funding provided by Institute of Science and Technology (IST Austria). ' article_processing_charge: Yes (via OA deal) author: - first_name: Rupert full_name: Frank, Rupert last_name: Frank - first_name: Christian full_name: Hainzl, Christian last_name: Hainzl - first_name: Benjamin full_name: Schlein, Benjamin last_name: Schlein - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Frank R, Hainzl C, Schlein B, Seiringer R. Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations. Letters in Mathematical Physics. 2016;106(7):913-923. doi:10.1007/s11005-016-0847-5 apa: Frank, R., Hainzl, C., Schlein, B., & Seiringer, R. (2016). Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations. Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-016-0847-5 chicago: Frank, Rupert, Christian Hainzl, Benjamin Schlein, and Robert Seiringer. “Incompatibility of Time-Dependent Bogoliubov–de-Gennes and Ginzburg–Landau Equations.” Letters in Mathematical Physics. Springer, 2016. https://doi.org/10.1007/s11005-016-0847-5. ieee: R. Frank, C. Hainzl, B. Schlein, and R. Seiringer, “Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations,” Letters in Mathematical Physics, vol. 106, no. 7. Springer, pp. 913–923, 2016. ista: Frank R, Hainzl C, Schlein B, Seiringer R. 2016. Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations. Letters in Mathematical Physics. 106(7), 913–923. mla: Frank, Rupert, et al. “Incompatibility of Time-Dependent Bogoliubov–de-Gennes and Ginzburg–Landau Equations.” Letters in Mathematical Physics, vol. 106, no. 7, Springer, 2016, pp. 913–23, doi:10.1007/s11005-016-0847-5. short: R. Frank, C. Hainzl, B. Schlein, R. Seiringer, Letters in Mathematical Physics 106 (2016) 913–923. date_created: 2018-12-11T11:51:56Z date_published: 2016-07-01T00:00:00Z date_updated: 2021-01-12T06:50:38Z day: '01' ddc: - '510' - '530' department: - _id: RoSe doi: 10.1007/s11005-016-0847-5 file: - access_level: open_access checksum: fb404923d8ca9a1faeb949561f26cbea content_type: application/pdf creator: system date_created: 2018-12-12T10:15:57Z date_updated: 2020-07-14T12:44:53Z file_id: '5181' file_name: IST-2016-591-v1+1_s11005-016-0847-5.pdf file_size: 458968 relation: main_file file_date_updated: 2020-07-14T12:44:53Z has_accepted_license: '1' intvolume: ' 106' issue: '7' language: - iso: eng month: '07' oa: 1 oa_version: Published Version page: 913 - 923 project: - _id: 25C878CE-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P27533_N27 name: Structure of the Excitation Spectrum for Many-Body Quantum Systems - _id: B67AFEDC-15C9-11EA-A837-991A96BB2854 name: IST Austria Open Access Fund publication: Letters in Mathematical Physics publication_status: published publisher: Springer publist_id: '5785' pubrep_id: '591' quality_controlled: '1' scopus_import: 1 status: public title: Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 106 year: '2016' ... --- _id: '1436' abstract: - lang: eng text: We study the time evolution of a system of N spinless fermions in R3 which interact through a pair potential, e.g., the Coulomb potential. We compare the dynamics given by the solution to Schrödinger's equation with the time-dependent Hartree-Fock approximation, and we give an estimate for the accuracy of this approximation in terms of the kinetic energy of the system. This leads, in turn, to bounds in terms of the initial total energy of the system. author: - first_name: Volker full_name: Bach, Volker last_name: Bach - first_name: Sébastien full_name: Breteaux, Sébastien last_name: Breteaux - first_name: Sören P full_name: Petrat, Sören P id: 40AC02DC-F248-11E8-B48F-1D18A9856A87 last_name: Petrat orcid: 0000-0002-9166-5889 - first_name: Peter full_name: Pickl, Peter last_name: Pickl - first_name: Tim full_name: Tzaneteas, Tim last_name: Tzaneteas citation: ama: Bach V, Breteaux S, Petrat SP, Pickl P, Tzaneteas T. Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction. Journal de Mathématiques Pures et Appliquées. 2016;105(1):1-30. doi:10.1016/j.matpur.2015.09.003 apa: Bach, V., Breteaux, S., Petrat, S. P., Pickl, P., & Tzaneteas, T. (2016). Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction. Journal de Mathématiques Pures et Appliquées. Elsevier. https://doi.org/10.1016/j.matpur.2015.09.003 chicago: Bach, Volker, Sébastien Breteaux, Sören P Petrat, Peter Pickl, and Tim Tzaneteas. “Kinetic Energy Estimates for the Accuracy of the Time-Dependent Hartree-Fock Approximation with Coulomb Interaction.” Journal de Mathématiques Pures et Appliquées. Elsevier, 2016. https://doi.org/10.1016/j.matpur.2015.09.003. ieee: V. Bach, S. Breteaux, S. P. Petrat, P. Pickl, and T. Tzaneteas, “Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction,” Journal de Mathématiques Pures et Appliquées, vol. 105, no. 1. Elsevier, pp. 1–30, 2016. ista: Bach V, Breteaux S, Petrat SP, Pickl P, Tzaneteas T. 2016. Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction. Journal de Mathématiques Pures et Appliquées. 105(1), 1–30. mla: Bach, Volker, et al. “Kinetic Energy Estimates for the Accuracy of the Time-Dependent Hartree-Fock Approximation with Coulomb Interaction.” Journal de Mathématiques Pures et Appliquées, vol. 105, no. 1, Elsevier, 2016, pp. 1–30, doi:10.1016/j.matpur.2015.09.003. short: V. Bach, S. Breteaux, S.P. Petrat, P. Pickl, T. Tzaneteas, Journal de Mathématiques Pures et Appliquées 105 (2016) 1–30. date_created: 2018-12-11T11:52:00Z date_published: 2016-01-01T00:00:00Z date_updated: 2021-01-12T06:50:43Z day: '01' ddc: - '510' - '530' department: - _id: RoSe doi: 10.1016/j.matpur.2015.09.003 ec_funded: 1 file: - access_level: open_access checksum: c5afe1f6935bc7f2b546adbde1d31a35 content_type: application/pdf creator: system date_created: 2018-12-12T10:10:36Z date_updated: 2020-07-14T12:44:54Z file_id: '4825' file_name: IST-2016-581-v1+1_1-s2.0-S0021782415001191-main.pdf file_size: 658491 relation: main_file file_date_updated: 2020-07-14T12:44:54Z has_accepted_license: '1' intvolume: ' 105' issue: '1' language: - iso: eng license: https://creativecommons.org/licenses/by-nc-nd/4.0/ month: '01' oa: 1 oa_version: Published Version page: 1 - 30 project: - _id: 25681D80-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '291734' name: International IST Postdoc Fellowship Programme publication: Journal de Mathématiques Pures et Appliquées publication_status: published publisher: Elsevier publist_id: '5763' pubrep_id: '581' quality_controlled: '1' scopus_import: 1 status: public title: Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction tmp: image: /images/cc_by_nc_nd.png legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) short: CC BY-NC-ND (4.0) type: journal_article user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 105 year: '2016' ... --- _id: '1478' abstract: - lang: eng text: We consider the Tonks-Girardeau gas subject to a random external potential. If the disorder is such that the underlying one-particle Hamiltonian displays localization (which is known to be generically the case), we show that there is exponential decay of correlations in the many-body eigenstates. Moreover, there is no Bose-Einstein condensation and no superfluidity, even at zero temperature. article_number: '035002' author: - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 - first_name: Simone full_name: Warzel, Simone last_name: Warzel citation: ama: Seiringer R, Warzel S. Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas. New Journal of Physics. 2016;18(3). doi:10.1088/1367-2630/18/3/035002 apa: Seiringer, R., & Warzel, S. (2016). Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas. New Journal of Physics. IOP Publishing Ltd. https://doi.org/10.1088/1367-2630/18/3/035002 chicago: Seiringer, Robert, and Simone Warzel. “Decay of Correlations and Absence of Superfluidity in the Disordered Tonks-Girardeau Gas.” New Journal of Physics. IOP Publishing Ltd., 2016. https://doi.org/10.1088/1367-2630/18/3/035002. ieee: R. Seiringer and S. Warzel, “Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas,” New Journal of Physics, vol. 18, no. 3. IOP Publishing Ltd., 2016. ista: Seiringer R, Warzel S. 2016. Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas. New Journal of Physics. 18(3), 035002. mla: Seiringer, Robert, and Simone Warzel. “Decay of Correlations and Absence of Superfluidity in the Disordered Tonks-Girardeau Gas.” New Journal of Physics, vol. 18, no. 3, 035002, IOP Publishing Ltd., 2016, doi:10.1088/1367-2630/18/3/035002. short: R. Seiringer, S. Warzel, New Journal of Physics 18 (2016). date_created: 2018-12-11T11:52:15Z date_published: 2016-02-29T00:00:00Z date_updated: 2021-01-12T06:51:01Z day: '29' ddc: - '510' - '530' department: - _id: RoSe doi: 10.1088/1367-2630/18/3/035002 file: - access_level: open_access checksum: 4f959eabc19d2a2f518318a450a4d424 content_type: application/pdf creator: system date_created: 2018-12-12T10:17:22Z date_updated: 2020-07-14T12:44:56Z file_id: '5276' file_name: IST-2016-579-v1+1_njp_18_3_035002.pdf file_size: 965607 relation: main_file file_date_updated: 2020-07-14T12:44:56Z has_accepted_license: '1' intvolume: ' 18' issue: '3' language: - iso: eng month: '02' oa: 1 oa_version: Published Version project: - _id: 25C878CE-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P27533_N27 name: Structure of the Excitation Spectrum for Many-Body Quantum Systems publication: New Journal of Physics publication_status: published publisher: IOP Publishing Ltd. publist_id: '5716' pubrep_id: '579' quality_controlled: '1' scopus_import: 1 status: public title: Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 18 year: '2016' ... --- _id: '1486' abstract: - lang: eng text: We review recent results concerning the mathematical properties of the Bardeen-Cooper-Schrieffer (BCS) functional of superconductivity, which were obtained in a series of papers, partly in collaboration with R. Frank, E. Hamza, S. Naboko, and J. P. Solovej. Our discussion includes, in particular, an investigation of the critical temperature for a general class of interaction potentials, as well as a study of its dependence on external fields. We shall explain how the Ginzburg-Landau model can be derived from the BCS theory in a suitable parameter regime. article_number: '021101' author: - first_name: Christian full_name: Hainzl, Christian last_name: Hainzl - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Hainzl C, Seiringer R. The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties. Journal of Mathematical Physics. 2016;57(2). doi:10.1063/1.4941723 apa: Hainzl, C., & Seiringer, R. (2016). The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties. Journal of Mathematical Physics. American Institute of Physics. https://doi.org/10.1063/1.4941723 chicago: Hainzl, Christian, and Robert Seiringer. “The Bardeen–Cooper–Schrieffer Functional of Superconductivity and Its Mathematical Properties.” Journal of Mathematical Physics. American Institute of Physics, 2016. https://doi.org/10.1063/1.4941723. ieee: C. Hainzl and R. Seiringer, “The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties,” Journal of Mathematical Physics, vol. 57, no. 2. American Institute of Physics, 2016. ista: Hainzl C, Seiringer R. 2016. The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties. Journal of Mathematical Physics. 57(2), 021101. mla: Hainzl, Christian, and Robert Seiringer. “The Bardeen–Cooper–Schrieffer Functional of Superconductivity and Its Mathematical Properties.” Journal of Mathematical Physics, vol. 57, no. 2, 021101, American Institute of Physics, 2016, doi:10.1063/1.4941723. short: C. Hainzl, R. Seiringer, Journal of Mathematical Physics 57 (2016). date_created: 2018-12-11T11:52:18Z date_published: 2016-02-24T00:00:00Z date_updated: 2021-01-12T06:51:04Z day: '24' department: - _id: RoSe doi: 10.1063/1.4941723 intvolume: ' 57' issue: '2' language: - iso: eng main_file_link: - open_access: '1' url: http://arxiv.org/abs/1511.01995 month: '02' oa: 1 oa_version: Preprint publication: Journal of Mathematical Physics publication_status: published publisher: American Institute of Physics publist_id: '5701' quality_controlled: '1' scopus_import: 1 status: public title: The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties type: journal_article user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 57 year: '2016' ... --- _id: '1493' abstract: - lang: eng text: We introduce a new method for deriving the time-dependent Hartree or Hartree-Fock equations as an effective mean-field dynamics from the microscopic Schrödinger equation for fermionic many-particle systems in quantum mechanics. The method is an adaption of the method used in Pickl (Lett. Math. Phys. 97 (2) 151–164 2011) for bosonic systems to fermionic systems. It is based on a Gronwall type estimate for a suitable measure of distance between the microscopic solution and an antisymmetrized product state. We use this method to treat a new mean-field limit for fermions with long-range interactions in a large volume. Some of our results hold for singular attractive or repulsive interactions. We can also treat Coulomb interaction assuming either a mild singularity cutoff or certain regularity conditions on the solutions to the Hartree(-Fock) equations. In the considered limit, the kinetic and interaction energy are of the same order, while the average force is subleading. For some interactions, we prove that the Hartree(-Fock) dynamics is a more accurate approximation than a simpler dynamics that one would expect from the subleading force. With our method we also treat the mean-field limit coupled to a semiclassical limit, which was discussed in the literature before, and we recover some of the previous results. All results hold for initial data close (but not necessarily equal) to antisymmetrized product states and we always provide explicit rates of convergence. acknowledgement: 'Open access funding provided by Institute of Science and Technology (IST Austria). ' article_number: '3' article_processing_charge: Yes (via OA deal) author: - first_name: Sören P full_name: Petrat, Sören P id: 40AC02DC-F248-11E8-B48F-1D18A9856A87 last_name: Petrat orcid: 0000-0002-9166-5889 - first_name: Peter full_name: Pickl, Peter last_name: Pickl citation: ama: Petrat SP, Pickl P. A new method and a new scaling for deriving fermionic mean-field dynamics. Mathematical Physics, Analysis and Geometry. 2016;19(1). doi:10.1007/s11040-016-9204-2 apa: Petrat, S. P., & Pickl, P. (2016). A new method and a new scaling for deriving fermionic mean-field dynamics. Mathematical Physics, Analysis and Geometry. Springer. https://doi.org/10.1007/s11040-016-9204-2 chicago: Petrat, Sören P, and Peter Pickl. “A New Method and a New Scaling for Deriving Fermionic Mean-Field Dynamics.” Mathematical Physics, Analysis and Geometry. Springer, 2016. https://doi.org/10.1007/s11040-016-9204-2. ieee: S. P. Petrat and P. Pickl, “A new method and a new scaling for deriving fermionic mean-field dynamics,” Mathematical Physics, Analysis and Geometry, vol. 19, no. 1. Springer, 2016. ista: Petrat SP, Pickl P. 2016. A new method and a new scaling for deriving fermionic mean-field dynamics. Mathematical Physics, Analysis and Geometry. 19(1), 3. mla: Petrat, Sören P., and Peter Pickl. “A New Method and a New Scaling for Deriving Fermionic Mean-Field Dynamics.” Mathematical Physics, Analysis and Geometry, vol. 19, no. 1, 3, Springer, 2016, doi:10.1007/s11040-016-9204-2. short: S.P. Petrat, P. Pickl, Mathematical Physics, Analysis and Geometry 19 (2016). date_created: 2018-12-11T11:52:20Z date_published: 2016-03-01T00:00:00Z date_updated: 2021-01-12T06:51:08Z day: '01' ddc: - '510' - '530' department: - _id: RoSe doi: 10.1007/s11040-016-9204-2 ec_funded: 1 file: - access_level: open_access checksum: eb5d2145ef0d377c4f78bf06e18f4529 content_type: application/pdf creator: system date_created: 2018-12-12T10:16:55Z date_updated: 2020-07-14T12:44:58Z file_id: '5246' file_name: IST-2016-514-v1+1_s11040-016-9204-2.pdf file_size: 911310 relation: main_file file_date_updated: 2020-07-14T12:44:58Z has_accepted_license: '1' intvolume: ' 19' issue: '1' language: - iso: eng month: '03' oa: 1 oa_version: Published Version project: - _id: 25681D80-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '291734' name: International IST Postdoc Fellowship Programme - _id: B67AFEDC-15C9-11EA-A837-991A96BB2854 name: IST Austria Open Access Fund publication: Mathematical Physics, Analysis and Geometry publication_status: published publisher: Springer publist_id: '5690' pubrep_id: '514' quality_controlled: '1' scopus_import: 1 status: public title: A new method and a new scaling for deriving fermionic mean-field dynamics tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 19 year: '2016' ... --- _id: '1491' abstract: - lang: eng text: We study the ground state of a trapped Bose gas, starting from the full many-body Schrödinger Hamiltonian, and derive the non-linear Schrödinger energy functional in the limit of a large particle number, when the interaction potential converges slowly to a Dirac delta function. Our method is based on quantitative estimates on the discrepancy between the full many-body energy and its mean-field approximation using Hartree states. These are proved using finite dimensional localization and a quantitative version of the quantum de Finetti theorem. Our approach covers the case of attractive interactions in the regime of stability. In particular, our main new result is a derivation of the 2D attractive non-linear Schrödinger ground state. acknowledgement: The authors acknowledge financial support from the European Research Council (FP7/2007-2013 Grant Agreement MNIQS 258023) and the ANR (Mathostaq project, ANR-13-JS01-0005-01). The second and third authors have benefited from the hospitality of the Institute for Mathematical Science of the National University of Singapore. author: - first_name: Mathieu full_name: Lewin, Mathieu last_name: Lewin - first_name: Phan full_name: Nam, Phan id: 404092F4-F248-11E8-B48F-1D18A9856A87 last_name: Nam - first_name: Nicolas full_name: Rougerie, Nicolas last_name: Rougerie citation: ama: Lewin M, Nam P, Rougerie N. The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases. Transactions of the American Mathematical Society. 2016;368(9):6131-6157. doi:10.1090/tran/6537 apa: Lewin, M., Nam, P., & Rougerie, N. (2016). The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases. Transactions of the American Mathematical Society. American Mathematical Society. https://doi.org/10.1090/tran/6537 chicago: Lewin, Mathieu, Phan Nam, and Nicolas Rougerie. “The Mean-Field Approximation and the Non-Linear Schrödinger Functional for Trapped Bose Gases.” Transactions of the American Mathematical Society. American Mathematical Society, 2016. https://doi.org/10.1090/tran/6537. ieee: M. Lewin, P. Nam, and N. Rougerie, “The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases,” Transactions of the American Mathematical Society, vol. 368, no. 9. American Mathematical Society, pp. 6131–6157, 2016. ista: Lewin M, Nam P, Rougerie N. 2016. The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases. Transactions of the American Mathematical Society. 368(9), 6131–6157. mla: Lewin, Mathieu, et al. “The Mean-Field Approximation and the Non-Linear Schrödinger Functional for Trapped Bose Gases.” Transactions of the American Mathematical Society, vol. 368, no. 9, American Mathematical Society, 2016, pp. 6131–57, doi:10.1090/tran/6537. short: M. Lewin, P. Nam, N. Rougerie, Transactions of the American Mathematical Society 368 (2016) 6131–6157. date_created: 2018-12-11T11:52:20Z date_published: 2016-01-01T00:00:00Z date_updated: 2021-01-12T06:51:07Z day: '01' department: - _id: RoSe doi: 10.1090/tran/6537 intvolume: ' 368' issue: '9' language: - iso: eng main_file_link: - open_access: '1' url: http://arxiv.org/abs/1405.3220 month: '01' oa: 1 oa_version: Submitted Version page: 6131 - 6157 publication: Transactions of the American Mathematical Society publication_status: published publisher: American Mathematical Society publist_id: '5692' quality_controlled: '1' scopus_import: 1 status: public title: The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases type: journal_article user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 368 year: '2016' ... --- _id: '1545' abstract: - lang: eng text: We provide general conditions for which bosonic quadratic Hamiltonians on Fock spaces can be diagonalized by Bogoliubov transformations. Our results cover the case when quantum systems have infinite degrees of freedom and the associated one-body kinetic and paring operators are unbounded. Our sufficient conditions are optimal in the sense that they become necessary when the relevant one-body operators commute. acknowledgement: We thank Jan Dereziński for several inspiring discussions and useful remarks. We thank the referee for helpful comments. J.P.S. thanks the Erwin Schrödinger Institute for the hospitality during the thematic programme “Quantum many-body systems, random matrices, and disorder”. We gratefully acknowledge the financial supports by the European Union's Seventh Framework Programme under the ERC Advanced Grant ERC-2012-AdG 321029 (J.P.S.) and the REA grant agreement No. 291734 (P.T.N.), as well as the support of the National Science Center (NCN) grant No. 2012/07/N/ST1/03185 and the Austrian Science Fund (FWF) project No. P 27533-N27 (M.N.). author: - first_name: Phan full_name: Nam, Phan id: 404092F4-F248-11E8-B48F-1D18A9856A87 last_name: Nam - first_name: Marcin M full_name: Napiórkowski, Marcin M id: 4197AD04-F248-11E8-B48F-1D18A9856A87 last_name: Napiórkowski - first_name: Jan full_name: Solovej, Jan last_name: Solovej citation: ama: Nam P, Napiórkowski MM, Solovej J. Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations. Journal of Functional Analysis. 2016;270(11):4340-4368. doi:10.1016/j.jfa.2015.12.007 apa: Nam, P., Napiórkowski, M. M., & Solovej, J. (2016). Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations. Journal of Functional Analysis. Academic Press. https://doi.org/10.1016/j.jfa.2015.12.007 chicago: Nam, Phan, Marcin M Napiórkowski, and Jan Solovej. “Diagonalization of Bosonic Quadratic Hamiltonians by Bogoliubov Transformations.” Journal of Functional Analysis. Academic Press, 2016. https://doi.org/10.1016/j.jfa.2015.12.007. ieee: P. Nam, M. M. Napiórkowski, and J. Solovej, “Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations,” Journal of Functional Analysis, vol. 270, no. 11. Academic Press, pp. 4340–4368, 2016. ista: Nam P, Napiórkowski MM, Solovej J. 2016. Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations. Journal of Functional Analysis. 270(11), 4340–4368. mla: Nam, Phan, et al. “Diagonalization of Bosonic Quadratic Hamiltonians by Bogoliubov Transformations.” Journal of Functional Analysis, vol. 270, no. 11, Academic Press, 2016, pp. 4340–68, doi:10.1016/j.jfa.2015.12.007. short: P. Nam, M.M. Napiórkowski, J. Solovej, Journal of Functional Analysis 270 (2016) 4340–4368. date_created: 2018-12-11T11:52:38Z date_published: 2016-06-01T00:00:00Z date_updated: 2021-01-12T06:51:30Z day: '01' department: - _id: RoSe doi: 10.1016/j.jfa.2015.12.007 ec_funded: 1 intvolume: ' 270' issue: '11' language: - iso: eng main_file_link: - open_access: '1' url: http://arxiv.org/abs/1508.07321 month: '06' oa: 1 oa_version: Submitted Version page: 4340 - 4368 project: - _id: 25681D80-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '291734' name: International IST Postdoc Fellowship Programme - _id: 25C878CE-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P27533_N27 name: Structure of the Excitation Spectrum for Many-Body Quantum Systems publication: Journal of Functional Analysis publication_status: published publisher: Academic Press publist_id: '5626' quality_controlled: '1' scopus_import: 1 status: public title: Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations type: journal_article user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 270 year: '2016' ... --- _id: '1620' abstract: - lang: eng text: We consider the Bardeen–Cooper–Schrieffer free energy functional for particles interacting via a two-body potential on a microscopic scale and in the presence of weak external fields varying on a macroscopic scale. We study the influence of the external fields on the critical temperature. We show that in the limit where the ratio between the microscopic and macroscopic scale tends to zero, the next to leading order of the critical temperature is determined by the lowest eigenvalue of the linearization of the Ginzburg–Landau equation. acknowledgement: The authors are grateful to I. M. Sigal for useful discussions. Financial support from the US National Science Foundation through Grants PHY-1347399 and DMS-1363432 (R.L.F.), from the Danish council for independent research and from ERC Advanced Grant 321029 (J.P.S.) is acknowledged. author: - first_name: Rupert full_name: Frank, Rupert last_name: Frank - first_name: Christian full_name: Hainzl, Christian last_name: Hainzl - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 - first_name: Jan full_name: Solovej, Jan last_name: Solovej citation: ama: Frank R, Hainzl C, Seiringer R, Solovej J. The external field dependence of the BCS critical temperature. Communications in Mathematical Physics. 2016;342(1):189-216. doi:10.1007/s00220-015-2526-2 apa: Frank, R., Hainzl, C., Seiringer, R., & Solovej, J. (2016). The external field dependence of the BCS critical temperature. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-015-2526-2 chicago: Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “The External Field Dependence of the BCS Critical Temperature.” Communications in Mathematical Physics. Springer, 2016. https://doi.org/10.1007/s00220-015-2526-2. ieee: R. Frank, C. Hainzl, R. Seiringer, and J. Solovej, “The external field dependence of the BCS critical temperature,” Communications in Mathematical Physics, vol. 342, no. 1. Springer, pp. 189–216, 2016. ista: Frank R, Hainzl C, Seiringer R, Solovej J. 2016. The external field dependence of the BCS critical temperature. Communications in Mathematical Physics. 342(1), 189–216. mla: Frank, Rupert, et al. “The External Field Dependence of the BCS Critical Temperature.” Communications in Mathematical Physics, vol. 342, no. 1, Springer, 2016, pp. 189–216, doi:10.1007/s00220-015-2526-2. short: R. Frank, C. Hainzl, R. Seiringer, J. Solovej, Communications in Mathematical Physics 342 (2016) 189–216. date_created: 2018-12-11T11:53:04Z date_published: 2016-02-01T00:00:00Z date_updated: 2021-01-12T06:52:03Z day: '01' department: - _id: RoSe doi: 10.1007/s00220-015-2526-2 intvolume: ' 342' issue: '1' language: - iso: eng main_file_link: - open_access: '1' url: http://arxiv.org/abs/1410.2352 month: '02' oa: 1 oa_version: Submitted Version page: 189 - 216 publication: Communications in Mathematical Physics publication_status: published publisher: Springer publist_id: '5546' quality_controlled: '1' scopus_import: 1 status: public title: The external field dependence of the BCS critical temperature type: journal_article user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 342 year: '2016' ... --- _id: '1622' abstract: - lang: eng text: We prove analogues of the Lieb–Thirring and Hardy–Lieb–Thirring inequalities for many-body quantum systems with fractional kinetic operators and homogeneous interaction potentials, where no anti-symmetry on the wave functions is assumed. These many-body inequalities imply interesting one-body interpolation inequalities, and we show that the corresponding one- and many-body inequalities are actually equivalent in certain cases. acknowledgement: "We thank Jan Philip Solovej, Robert Seiringer and Vladimir Maz’ya for helpful discussions, as well as Rupert Frank\r\nand the anonymous referee for useful comments. Part of this work has been carried out during a visit at the Institut Mittag-Leffler (Stockholm). D.L. acknowledges financial support by the grant KAW 2010.0063 from the Knut and Alice Wallenberg Foundation and the Swedish Research Council grant no. 2013-4734. P.T.N. is supported by the People Programme (Marie Curie Actions) of the European Union’s Seventh Framework Programme (FP7/2007-2013) under REA grant agreement no. 291734. F.P. acknowledges support from the ERC project no. 321029 “The\r\nmathematics of the structure of matter”." author: - first_name: Douglas full_name: Lundholm, Douglas last_name: Lundholm - first_name: Phan full_name: Nam, Phan id: 404092F4-F248-11E8-B48F-1D18A9856A87 last_name: Nam - first_name: Fabian full_name: Portmann, Fabian last_name: Portmann citation: ama: Lundholm D, Nam P, Portmann F. Fractional Hardy–Lieb–Thirring and related Inequalities for interacting systems. Archive for Rational Mechanics and Analysis. 2016;219(3):1343-1382. doi:10.1007/s00205-015-0923-5 apa: Lundholm, D., Nam, P., & Portmann, F. (2016). Fractional Hardy–Lieb–Thirring and related Inequalities for interacting systems. Archive for Rational Mechanics and Analysis. Springer. https://doi.org/10.1007/s00205-015-0923-5 chicago: Lundholm, Douglas, Phan Nam, and Fabian Portmann. “Fractional Hardy–Lieb–Thirring and Related Inequalities for Interacting Systems.” Archive for Rational Mechanics and Analysis. Springer, 2016. https://doi.org/10.1007/s00205-015-0923-5. ieee: D. Lundholm, P. Nam, and F. Portmann, “Fractional Hardy–Lieb–Thirring and related Inequalities for interacting systems,” Archive for Rational Mechanics and Analysis, vol. 219, no. 3. Springer, pp. 1343–1382, 2016. ista: Lundholm D, Nam P, Portmann F. 2016. Fractional Hardy–Lieb–Thirring and related Inequalities for interacting systems. Archive for Rational Mechanics and Analysis. 219(3), 1343–1382. mla: Lundholm, Douglas, et al. “Fractional Hardy–Lieb–Thirring and Related Inequalities for Interacting Systems.” Archive for Rational Mechanics and Analysis, vol. 219, no. 3, Springer, 2016, pp. 1343–82, doi:10.1007/s00205-015-0923-5. short: D. Lundholm, P. Nam, F. Portmann, Archive for Rational Mechanics and Analysis 219 (2016) 1343–1382. date_created: 2018-12-11T11:53:05Z date_published: 2016-03-01T00:00:00Z date_updated: 2021-01-12T06:52:04Z day: '01' department: - _id: RoSe doi: 10.1007/s00205-015-0923-5 ec_funded: 1 intvolume: ' 219' issue: '3' language: - iso: eng main_file_link: - open_access: '1' url: http://arxiv.org/abs/1501.04570 month: '03' oa: 1 oa_version: Submitted Version page: 1343 - 1382 project: - _id: 25681D80-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '291734' name: International IST Postdoc Fellowship Programme publication: Archive for Rational Mechanics and Analysis publication_status: published publisher: Springer publist_id: '5542' quality_controlled: '1' scopus_import: 1 status: public title: Fractional Hardy–Lieb–Thirring and related Inequalities for interacting systems type: journal_article user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 219 year: '2016' ... --- _id: '1572' abstract: - lang: eng text: "We consider the quantum ferromagnetic Heisenberg model in three dimensions, for all spins S ≥ 1/2. We rigorously prove the validity of the spin-wave approximation for the excitation spectrum, at the level of the first non-trivial contribution to the free energy at low temperatures. Our proof comes with explicit, constructive upper and lower bounds on the error term. It uses in an essential way the bosonic formulation of the model in terms of the Holstein-Primakoff representation. In this language, the model describes interacting bosons with a hard-core on-site repulsion and a nearest-neighbor attraction. This attractive interaction makes the lower bound on the free energy particularly tricky: the key idea there is to prove a differential inequality for the two-particle density, which is thereby shown to be smaller than the probability density of a suitably weighted two-particle random process on the lattice.\r\n" author: - first_name: Michele full_name: Correggi, Michele last_name: Correggi - first_name: Alessandro full_name: Giuliani, Alessandro last_name: Giuliani - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Correggi M, Giuliani A, Seiringer R. Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet. Communications in Mathematical Physics. 2015;339(1):279-307. doi:10.1007/s00220-015-2402-0 apa: Correggi, M., Giuliani, A., & Seiringer, R. (2015). Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-015-2402-0 chicago: Correggi, Michele, Alessandro Giuliani, and Robert Seiringer. “Validity of the Spin-Wave Approximation for the Free Energy of the Heisenberg Ferromagnet.” Communications in Mathematical Physics. Springer, 2015. https://doi.org/10.1007/s00220-015-2402-0. ieee: M. Correggi, A. Giuliani, and R. Seiringer, “Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet,” Communications in Mathematical Physics, vol. 339, no. 1. Springer, pp. 279–307, 2015. ista: Correggi M, Giuliani A, Seiringer R. 2015. Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet. Communications in Mathematical Physics. 339(1), 279–307. mla: Correggi, Michele, et al. “Validity of the Spin-Wave Approximation for the Free Energy of the Heisenberg Ferromagnet.” Communications in Mathematical Physics, vol. 339, no. 1, Springer, 2015, pp. 279–307, doi:10.1007/s00220-015-2402-0. short: M. Correggi, A. Giuliani, R. Seiringer, Communications in Mathematical Physics 339 (2015) 279–307. date_created: 2018-12-11T11:52:47Z date_published: 2015-06-23T00:00:00Z date_updated: 2021-01-12T06:51:41Z day: '23' department: - _id: RoSe doi: 10.1007/s00220-015-2402-0 intvolume: ' 339' issue: '1' language: - iso: eng main_file_link: - open_access: '1' url: http://arxiv.org/abs/1312.7873 month: '06' oa: 1 oa_version: Preprint page: 279 - 307 publication: Communications in Mathematical Physics publication_status: published publisher: Springer publist_id: '5599' quality_controlled: '1' scopus_import: 1 status: public title: Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 339 year: '2015' ... --- _id: '1573' abstract: - lang: eng text: We present a new, simpler proof of the unconditional uniqueness of solutions to the cubic Gross-Pitaevskii hierarchy in ℝ3. One of the main tools in our analysis is the quantum de Finetti theorem. Our uniqueness result is equivalent to the one established in the celebrated works of Erdos, Schlein, and Yau. author: - first_name: Thomas full_name: Chen, Thomas last_name: Chen - first_name: Christian full_name: Hainzl, Christian last_name: Hainzl - first_name: Nataša full_name: Pavlović, Nataša last_name: Pavlović - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Chen T, Hainzl C, Pavlović N, Seiringer R. Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti. Communications on Pure and Applied Mathematics. 2015;68(10):1845-1884. doi:10.1002/cpa.21552 apa: Chen, T., Hainzl, C., Pavlović, N., & Seiringer, R. (2015). Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti. Communications on Pure and Applied Mathematics. Wiley. https://doi.org/10.1002/cpa.21552 chicago: Chen, Thomas, Christian Hainzl, Nataša Pavlović, and Robert Seiringer. “Unconditional Uniqueness for the Cubic Gross Pitaevskii Hierarchy via Quantum de Finetti.” Communications on Pure and Applied Mathematics. Wiley, 2015. https://doi.org/10.1002/cpa.21552. ieee: T. Chen, C. Hainzl, N. Pavlović, and R. Seiringer, “Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti,” Communications on Pure and Applied Mathematics, vol. 68, no. 10. Wiley, pp. 1845–1884, 2015. ista: Chen T, Hainzl C, Pavlović N, Seiringer R. 2015. Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti. Communications on Pure and Applied Mathematics. 68(10), 1845–1884. mla: Chen, Thomas, et al. “Unconditional Uniqueness for the Cubic Gross Pitaevskii Hierarchy via Quantum de Finetti.” Communications on Pure and Applied Mathematics, vol. 68, no. 10, Wiley, 2015, pp. 1845–84, doi:10.1002/cpa.21552. short: T. Chen, C. Hainzl, N. Pavlović, R. Seiringer, Communications on Pure and Applied Mathematics 68 (2015) 1845–1884. date_created: 2018-12-11T11:52:48Z date_published: 2015-10-01T00:00:00Z date_updated: 2021-01-12T06:51:41Z day: '01' department: - _id: RoSe doi: 10.1002/cpa.21552 intvolume: ' 68' issue: '10' language: - iso: eng main_file_link: - open_access: '1' url: http://arxiv.org/abs/1307.3168 month: '10' oa: 1 oa_version: Preprint page: 1845 - 1884 project: - _id: 26450934-B435-11E9-9278-68D0E5697425 name: NSERC Postdoctoral fellowship publication: Communications on Pure and Applied Mathematics publication_status: published publisher: Wiley publist_id: '5598' quality_controlled: '1' scopus_import: 1 status: public title: Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 68 year: '2015' ... --- _id: '1704' abstract: - lang: eng text: Given a convex function (Formula presented.) and two hermitian matrices A and B, Lewin and Sabin study in (Lett Math Phys 104:691–705, 2014) the relative entropy defined by (Formula presented.). Among other things, they prove that the so-defined quantity is monotone if and only if (Formula presented.) is operator monotone. The monotonicity is then used to properly define (Formula presented.) for bounded self-adjoint operators acting on an infinite-dimensional Hilbert space by a limiting procedure. More precisely, for an increasing sequence of finite-dimensional projections (Formula presented.) with (Formula presented.) strongly, the limit (Formula presented.) is shown to exist and to be independent of the sequence of projections (Formula presented.). The question whether this sequence converges to its "obvious" limit, namely (Formula presented.), has been left open. We answer this question in principle affirmatively and show that (Formula presented.). If the operators A and B are regular enough, that is (A − B), (Formula presented.) and (Formula presented.) are trace-class, the identity (Formula presented.) holds. author: - first_name: Andreas full_name: Deuchert, Andreas last_name: Deuchert orcid: 0000-0003-3146-6746 - first_name: Christian full_name: Hainzl, Christian last_name: Hainzl - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Deuchert A, Hainzl C, Seiringer R. Note on a family of monotone quantum relative entropies. Letters in Mathematical Physics. 2015;105(10):1449-1466. doi:10.1007/s11005-015-0787-5 apa: Deuchert, A., Hainzl, C., & Seiringer, R. (2015). Note on a family of monotone quantum relative entropies. Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-015-0787-5 chicago: Deuchert, Andreas, Christian Hainzl, and Robert Seiringer. “Note on a Family of Monotone Quantum Relative Entropies.” Letters in Mathematical Physics. Springer, 2015. https://doi.org/10.1007/s11005-015-0787-5. ieee: A. Deuchert, C. Hainzl, and R. Seiringer, “Note on a family of monotone quantum relative entropies,” Letters in Mathematical Physics, vol. 105, no. 10. Springer, pp. 1449–1466, 2015. ista: Deuchert A, Hainzl C, Seiringer R. 2015. Note on a family of monotone quantum relative entropies. Letters in Mathematical Physics. 105(10), 1449–1466. mla: Deuchert, Andreas, et al. “Note on a Family of Monotone Quantum Relative Entropies.” Letters in Mathematical Physics, vol. 105, no. 10, Springer, 2015, pp. 1449–66, doi:10.1007/s11005-015-0787-5. short: A. Deuchert, C. Hainzl, R. Seiringer, Letters in Mathematical Physics 105 (2015) 1449–1466. date_created: 2018-12-11T11:53:34Z date_published: 2015-08-05T00:00:00Z date_updated: 2021-01-12T06:52:38Z day: '05' ddc: - '510' department: - _id: RoSe doi: 10.1007/s11005-015-0787-5 file: - access_level: open_access checksum: fd7307282a314cc1fbbaef77b187516b content_type: application/pdf creator: dernst date_created: 2019-01-15T14:42:07Z date_updated: 2020-07-14T12:45:13Z file_id: '5836' file_name: 2015_LettersMathPhys_Deuchert.pdf file_size: 484967 relation: main_file file_date_updated: 2020-07-14T12:45:13Z has_accepted_license: '1' intvolume: ' 105' issue: '10' language: - iso: eng license: https://creativecommons.org/licenses/by-nc/4.0/ main_file_link: - open_access: '1' url: http://arxiv.org/abs/1502.07205 month: '08' oa: 1 oa_version: Preprint page: 1449 - 1466 publication: Letters in Mathematical Physics publication_status: published publisher: Springer publist_id: '5432' quality_controlled: '1' scopus_import: 1 status: public title: Note on a family of monotone quantum relative entropies tmp: image: /images/cc_by_nc.png legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode name: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0) short: CC BY-NC (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 105 year: '2015' ... --- _id: '1807' abstract: - lang: eng text: We study a double Cahn-Hilliard type functional related to the Gross-Pitaevskii energy of two-components Bose-Einstein condensates. In the case of large but same order intercomponent and intracomponent coupling strengths, we prove Γ-convergence to a perimeter minimisation functional with an inhomogeneous surface tension. We study the asymptotic behavior of the surface tension as the ratio between the intercomponent and intracomponent coupling strengths becomes very small or very large and obtain good agreement with the physical literature. We obtain as a consequence, symmetry breaking of the minimisers for the harmonic potential. author: - first_name: Michael full_name: Goldman, Michael last_name: Goldman - first_name: Jimena full_name: Royo-Letelier, Jimena id: 4D3BED28-F248-11E8-B48F-1D18A9856A87 last_name: Royo-Letelier citation: ama: Goldman M, Royo-Letelier J. Sharp interface limit for two components Bose-Einstein condensates. ESAIM - Control, Optimisation and Calculus of Variations. 2015;21(3):603-624. doi:10.1051/cocv/2014040 apa: Goldman, M., & Royo-Letelier, J. (2015). Sharp interface limit for two components Bose-Einstein condensates. ESAIM - Control, Optimisation and Calculus of Variations. EDP Sciences. https://doi.org/10.1051/cocv/2014040 chicago: Goldman, Michael, and Jimena Royo-Letelier. “Sharp Interface Limit for Two Components Bose-Einstein Condensates.” ESAIM - Control, Optimisation and Calculus of Variations. EDP Sciences, 2015. https://doi.org/10.1051/cocv/2014040. ieee: M. Goldman and J. Royo-Letelier, “Sharp interface limit for two components Bose-Einstein condensates,” ESAIM - Control, Optimisation and Calculus of Variations, vol. 21, no. 3. EDP Sciences, pp. 603–624, 2015. ista: Goldman M, Royo-Letelier J. 2015. Sharp interface limit for two components Bose-Einstein condensates. ESAIM - Control, Optimisation and Calculus of Variations. 21(3), 603–624. mla: Goldman, Michael, and Jimena Royo-Letelier. “Sharp Interface Limit for Two Components Bose-Einstein Condensates.” ESAIM - Control, Optimisation and Calculus of Variations, vol. 21, no. 3, EDP Sciences, 2015, pp. 603–24, doi:10.1051/cocv/2014040. short: M. Goldman, J. Royo-Letelier, ESAIM - Control, Optimisation and Calculus of Variations 21 (2015) 603–624. date_created: 2018-12-11T11:54:07Z date_published: 2015-05-01T00:00:00Z date_updated: 2021-01-12T06:53:20Z day: '01' department: - _id: RoSe doi: 10.1051/cocv/2014040 intvolume: ' 21' issue: '3' language: - iso: eng main_file_link: - open_access: '1' url: http://arxiv.org/abs/1401.1727 month: '05' oa: 1 oa_version: Preprint page: 603 - 624 publication: ESAIM - Control, Optimisation and Calculus of Variations publication_status: published publisher: EDP Sciences publist_id: '5303' quality_controlled: '1' scopus_import: 1 status: public title: Sharp interface limit for two components Bose-Einstein condensates type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 21 year: '2015' ... --- _id: '1880' abstract: - lang: eng text: We investigate the relation between Bose-Einstein condensation (BEC) and superfluidity in the ground state of a one-dimensional model of interacting bosons in a strong random potential. We prove rigorously that in a certain parameter regime the superfluid fraction can be arbitrarily small while complete BEC prevails. In another regime there is both complete BEC and complete superfluidity, despite the strong disorder acknowledgement: Support from the Natural Sciences and Engineering Research Council of Canada NSERC (MK and RS) and from the Austrian Science Fund FWF (JY, under project P 22929-N16) is gratefully acknowledged article_number: '013022' author: - first_name: Martin full_name: Könenberg, Martin last_name: Könenberg - first_name: Thomas full_name: Moser, Thomas id: 2B5FC9A4-F248-11E8-B48F-1D18A9856A87 last_name: Moser - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 - first_name: Jakob full_name: Yngvason, Jakob last_name: Yngvason citation: ama: Könenberg M, Moser T, Seiringer R, Yngvason J. Superfluid behavior of a Bose-Einstein condensate in a random potential. New Journal of Physics. 2015;17. doi:10.1088/1367-2630/17/1/013022 apa: Könenberg, M., Moser, T., Seiringer, R., & Yngvason, J. (2015). Superfluid behavior of a Bose-Einstein condensate in a random potential. New Journal of Physics. IOP Publishing Ltd. https://doi.org/10.1088/1367-2630/17/1/013022 chicago: Könenberg, Martin, Thomas Moser, Robert Seiringer, and Jakob Yngvason. “Superfluid Behavior of a Bose-Einstein Condensate in a Random Potential.” New Journal of Physics. IOP Publishing Ltd., 2015. https://doi.org/10.1088/1367-2630/17/1/013022. ieee: M. Könenberg, T. Moser, R. Seiringer, and J. Yngvason, “Superfluid behavior of a Bose-Einstein condensate in a random potential,” New Journal of Physics, vol. 17. IOP Publishing Ltd., 2015. ista: Könenberg M, Moser T, Seiringer R, Yngvason J. 2015. Superfluid behavior of a Bose-Einstein condensate in a random potential. New Journal of Physics. 17, 013022. mla: Könenberg, Martin, et al. “Superfluid Behavior of a Bose-Einstein Condensate in a Random Potential.” New Journal of Physics, vol. 17, 013022, IOP Publishing Ltd., 2015, doi:10.1088/1367-2630/17/1/013022. short: M. Könenberg, T. Moser, R. Seiringer, J. Yngvason, New Journal of Physics 17 (2015). date_created: 2018-12-11T11:54:30Z date_published: 2015-01-15T00:00:00Z date_updated: 2021-01-12T06:53:48Z day: '15' ddc: - '530' department: - _id: RoSe doi: 10.1088/1367-2630/17/1/013022 file: - access_level: open_access checksum: 38fdf2b5ac30445e26a5d613abd84b16 content_type: application/pdf creator: system date_created: 2018-12-12T10:12:44Z date_updated: 2020-07-14T12:45:20Z file_id: '4963' file_name: IST-2016-447-v1+1_document_1_.pdf file_size: 768108 relation: main_file file_date_updated: 2020-07-14T12:45:20Z has_accepted_license: '1' intvolume: ' 17' language: - iso: eng month: '01' oa: 1 oa_version: Published Version project: - _id: 26450934-B435-11E9-9278-68D0E5697425 name: NSERC Postdoctoral fellowship publication: New Journal of Physics publication_status: published publisher: IOP Publishing Ltd. publist_id: '5214' pubrep_id: '447' quality_controlled: '1' scopus_import: 1 status: public title: Superfluid behavior of a Bose-Einstein condensate in a random potential tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 17 year: '2015' ... --- _id: '2085' abstract: - lang: eng text: 'We study the spectrum of a large system of N identical bosons interacting via a two-body potential with strength 1/N. In this mean-field regime, Bogoliubov''s theory predicts that the spectrum of the N-particle Hamiltonian can be approximated by that of an effective quadratic Hamiltonian acting on Fock space, which describes the fluctuations around a condensed state. Recently, Bogoliubov''s theory has been justified rigorously in the case that the low-energy eigenvectors of the N-particle Hamiltonian display complete condensation in the unique minimizer of the corresponding Hartree functional. In this paper, we shall justify Bogoliubov''s theory for the high-energy part of the spectrum of the N-particle Hamiltonian corresponding to (non-linear) excited states of the Hartree functional. Moreover, we shall extend the existing results on the excitation spectrum to the case of non-uniqueness and/or degeneracy of the Hartree minimizer. In particular, the latter covers the case of rotating Bose gases, when the rotation speed is large enough to break the symmetry and to produce multiple quantized vortices in the Hartree minimizer. ' author: - first_name: Phan full_name: Nam, Phan id: 404092F4-F248-11E8-B48F-1D18A9856A87 last_name: Nam - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Nam P, Seiringer R. Collective excitations of Bose gases in the mean-field regime. Archive for Rational Mechanics and Analysis. 2015;215(2):381-417. doi:10.1007/s00205-014-0781-6 apa: Nam, P., & Seiringer, R. (2015). Collective excitations of Bose gases in the mean-field regime. Archive for Rational Mechanics and Analysis. Springer. https://doi.org/10.1007/s00205-014-0781-6 chicago: Nam, Phan, and Robert Seiringer. “Collective Excitations of Bose Gases in the Mean-Field Regime.” Archive for Rational Mechanics and Analysis. Springer, 2015. https://doi.org/10.1007/s00205-014-0781-6. ieee: P. Nam and R. Seiringer, “Collective excitations of Bose gases in the mean-field regime,” Archive for Rational Mechanics and Analysis, vol. 215, no. 2. Springer, pp. 381–417, 2015. ista: Nam P, Seiringer R. 2015. Collective excitations of Bose gases in the mean-field regime. Archive for Rational Mechanics and Analysis. 215(2), 381–417. mla: Nam, Phan, and Robert Seiringer. “Collective Excitations of Bose Gases in the Mean-Field Regime.” Archive for Rational Mechanics and Analysis, vol. 215, no. 2, Springer, 2015, pp. 381–417, doi:10.1007/s00205-014-0781-6. short: P. Nam, R. Seiringer, Archive for Rational Mechanics and Analysis 215 (2015) 381–417. date_created: 2018-12-11T11:55:37Z date_published: 2015-02-01T00:00:00Z date_updated: 2021-01-12T06:55:13Z day: '01' department: - _id: RoSe doi: 10.1007/s00205-014-0781-6 intvolume: ' 215' issue: '2' language: - iso: eng main_file_link: - open_access: '1' url: http://arxiv.org/abs/1402.1153 month: '02' oa: 1 oa_version: Preprint page: 381 - 417 publication: Archive for Rational Mechanics and Analysis publication_status: published publisher: Springer publist_id: '4951' quality_controlled: '1' scopus_import: 1 status: public title: Collective excitations of Bose gases in the mean-field regime type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 215 year: '2015' ... --- _id: '473' abstract: - lang: eng text: We prove that nonlinear Gibbs measures can be obtained from the corresponding many-body, grand-canonical, quantum Gibbs states, in a mean-field limit where the temperature T diverges and the interaction strength behaves as 1/T. We proceed by characterizing the interacting Gibbs state as minimizing a functional counting the free-energy relatively to the non-interacting case. We then perform an infinite-dimensional analogue of phase-space semiclassical analysis, using fine properties of the quantum relative entropy, the link between quantum de Finetti measures and upper/lower symbols in a coherent state basis, as well as Berezin-Lieb type inequalities. Our results cover the measure built on the defocusing nonlinear Schrödinger functional on a finite interval, as well as smoother interactions in dimensions d 2. author: - first_name: Mathieu full_name: Lewin, Mathieu last_name: Lewin - first_name: Nam full_name: Phan Thanh, Nam id: 404092F4-F248-11E8-B48F-1D18A9856A87 last_name: Phan Thanh - first_name: Nicolas full_name: Rougerie, Nicolas last_name: Rougerie citation: ama: Lewin M, Nam P, Rougerie N. Derivation of nonlinear gibbs measures from many-body quantum mechanics. Journal de l’Ecole Polytechnique - Mathematiques. 2015;2:65-115. doi:10.5802/jep.18 apa: Lewin, M., Nam, P., & Rougerie, N. (2015). Derivation of nonlinear gibbs measures from many-body quantum mechanics. Journal de l’Ecole Polytechnique - Mathematiques. Ecole Polytechnique. https://doi.org/10.5802/jep.18 chicago: Lewin, Mathieu, Phan Nam, and Nicolas Rougerie. “Derivation of Nonlinear Gibbs Measures from Many-Body Quantum Mechanics.” Journal de l’Ecole Polytechnique - Mathematiques. Ecole Polytechnique, 2015. https://doi.org/10.5802/jep.18. ieee: M. Lewin, P. Nam, and N. Rougerie, “Derivation of nonlinear gibbs measures from many-body quantum mechanics,” Journal de l’Ecole Polytechnique - Mathematiques, vol. 2. Ecole Polytechnique, pp. 65–115, 2015. ista: Lewin M, Nam P, Rougerie N. 2015. Derivation of nonlinear gibbs measures from many-body quantum mechanics. Journal de l’Ecole Polytechnique - Mathematiques. 2, 65–115. mla: Lewin, Mathieu, et al. “Derivation of Nonlinear Gibbs Measures from Many-Body Quantum Mechanics.” Journal de l’Ecole Polytechnique - Mathematiques, vol. 2, Ecole Polytechnique, 2015, pp. 65–115, doi:10.5802/jep.18. short: M. Lewin, P. Nam, N. Rougerie, Journal de l’Ecole Polytechnique - Mathematiques 2 (2015) 65–115. date_created: 2018-12-11T11:46:40Z date_published: 2015-01-01T00:00:00Z date_updated: 2021-01-12T08:00:52Z day: '01' ddc: - '539' department: - _id: RoSe doi: 10.5802/jep.18 ec_funded: 1 file: - access_level: open_access checksum: a40eb4016717ddc9927154798a4c164a content_type: application/pdf creator: system date_created: 2018-12-12T10:12:53Z date_updated: 2020-07-14T12:46:35Z file_id: '4974' file_name: IST-2018-951-v1+1_2015_Thanh-Nam_Derivation_of.pdf file_size: 1084254 relation: main_file file_date_updated: 2020-07-14T12:46:35Z has_accepted_license: '1' intvolume: ' 2' language: - iso: eng license: https://creativecommons.org/licenses/by-nd/4.0/ month: '01' oa: 1 oa_version: Published Version page: 65 - 115 project: - _id: 25681D80-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '291734' name: International IST Postdoc Fellowship Programme publication: Journal de l'Ecole Polytechnique - Mathematiques publication_status: published publisher: Ecole Polytechnique publist_id: '7344' pubrep_id: '951' quality_controlled: '1' scopus_import: 1 status: public title: Derivation of nonlinear gibbs measures from many-body quantum mechanics tmp: image: /image/cc_by_nd.png legal_code_url: https://creativecommons.org/licenses/by-nd/4.0/legalcode name: Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0) short: CC BY-ND (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 2 year: '2015' ... --- _id: '1516' abstract: - lang: eng text: "We present a rigorous derivation of the BCS gap equation for superfluid fermionic gases with point interactions. Our starting point is the BCS energy functional, whose minimizer we investigate in the limit when the range of the interaction potential goes to zero.\r\n" article_processing_charge: No author: - first_name: Gerhard full_name: Bräunlich, Gerhard last_name: Bräunlich - first_name: Christian full_name: Hainzl, Christian last_name: Hainzl - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: 'Bräunlich G, Hainzl C, Seiringer R. On the BCS gap equation for superfluid fermionic gases. In: Proceedings of the QMath12 Conference. World Scientific Publishing; 2014:127-137. doi:10.1142/9789814618144_0007' apa: 'Bräunlich, G., Hainzl, C., & Seiringer, R. (2014). On the BCS gap equation for superfluid fermionic gases. In Proceedings of the QMath12 Conference (pp. 127–137). Berlin, Germany: World Scientific Publishing. https://doi.org/10.1142/9789814618144_0007' chicago: Bräunlich, Gerhard, Christian Hainzl, and Robert Seiringer. “On the BCS Gap Equation for Superfluid Fermionic Gases.” In Proceedings of the QMath12 Conference, 127–37. World Scientific Publishing, 2014. https://doi.org/10.1142/9789814618144_0007. ieee: G. Bräunlich, C. Hainzl, and R. Seiringer, “On the BCS gap equation for superfluid fermionic gases,” in Proceedings of the QMath12 Conference, Berlin, Germany, 2014, pp. 127–137. ista: 'Bräunlich G, Hainzl C, Seiringer R. 2014. On the BCS gap equation for superfluid fermionic gases. Proceedings of the QMath12 Conference. QMath: Mathematical Results in Quantum Physics, 127–137.' mla: Bräunlich, Gerhard, et al. “On the BCS Gap Equation for Superfluid Fermionic Gases.” Proceedings of the QMath12 Conference, World Scientific Publishing, 2014, pp. 127–37, doi:10.1142/9789814618144_0007. short: G. Bräunlich, C. Hainzl, R. Seiringer, in:, Proceedings of the QMath12 Conference, World Scientific Publishing, 2014, pp. 127–137. conference: end_date: 2013-09-13 location: Berlin, Germany name: 'QMath: Mathematical Results in Quantum Physics' start_date: 2013-09-10 date_created: 2018-12-11T11:52:28Z date_published: 2014-01-01T00:00:00Z date_updated: 2021-01-12T06:51:19Z day: '01' department: - _id: RoSe doi: 10.1142/9789814618144_0007 external_id: arxiv: - '1403.2563' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1403.2563 month: '01' oa: 1 oa_version: Preprint page: 127 - 137 publication: Proceedings of the QMath12 Conference publication_status: published publisher: World Scientific Publishing publist_id: '5661' quality_controlled: '1' status: public title: On the BCS gap equation for superfluid fermionic gases type: conference user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 year: '2014' ... --- _id: '1821' abstract: - lang: eng text: We review recent progress towards a rigorous understanding of the Bogoliubov approximation for bosonic quantum many-body systems. We focus, in particular, on the excitation spectrum of a Bose gas in the mean-field (Hartree) limit. A list of open problems will be discussed at the end. article_number: '1.4881536' author: - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Seiringer R. Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation. Journal of Mathematical Physics. 2014;55(7). doi:10.1063/1.4881536 apa: Seiringer, R. (2014). Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation. Journal of Mathematical Physics. American Institute of Physics. https://doi.org/10.1063/1.4881536 chicago: Seiringer, Robert. “Bose Gases, Bose-Einstein Condensation, and the Bogoliubov Approximation.” Journal of Mathematical Physics. American Institute of Physics, 2014. https://doi.org/10.1063/1.4881536. ieee: R. Seiringer, “Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation,” Journal of Mathematical Physics, vol. 55, no. 7. American Institute of Physics, 2014. ista: Seiringer R. 2014. Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation. Journal of Mathematical Physics. 55(7), 1.4881536. mla: Seiringer, Robert. “Bose Gases, Bose-Einstein Condensation, and the Bogoliubov Approximation.” Journal of Mathematical Physics, vol. 55, no. 7, 1.4881536, American Institute of Physics, 2014, doi:10.1063/1.4881536. short: R. Seiringer, Journal of Mathematical Physics 55 (2014). date_created: 2018-12-11T11:54:11Z date_published: 2014-06-26T00:00:00Z date_updated: 2021-01-12T06:53:25Z day: '26' ddc: - '510' - '530' department: - _id: RoSe doi: 10.1063/1.4881536 file: - access_level: open_access checksum: ed0efc93c10f1341155f0316af617b82 content_type: application/pdf creator: system date_created: 2018-12-12T10:15:49Z date_updated: 2020-07-14T12:45:17Z file_id: '5172' file_name: IST-2016-532-v1+1_J._Mathematical_Phys._2014_Seiringer.pdf file_size: 269171 relation: main_file file_date_updated: 2020-07-14T12:45:17Z has_accepted_license: '1' intvolume: ' 55' issue: '7' language: - iso: eng month: '06' oa: 1 oa_version: Submitted Version project: - _id: 26450934-B435-11E9-9278-68D0E5697425 name: NSERC Postdoctoral fellowship publication: Journal of Mathematical Physics publication_status: published publisher: American Institute of Physics publist_id: '5285' pubrep_id: '532' quality_controlled: '1' scopus_import: 1 status: public title: Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation type: journal_article user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87 volume: 55 year: '2014' ... --- _id: '1822' article_number: '075101' author: - first_name: Vojkan full_name: Jakšić, Vojkan last_name: Jakšić - first_name: Claude full_name: Pillet, Claude last_name: Pillet - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Jakšić V, Pillet C, Seiringer R. Introduction. Journal of Mathematical Physics. 2014;55(7). doi:10.1063/1.4884877 apa: Jakšić, V., Pillet, C., & Seiringer, R. (2014). Introduction. Journal of Mathematical Physics. American Institute of Physics. https://doi.org/10.1063/1.4884877 chicago: Jakšić, Vojkan, Claude Pillet, and Robert Seiringer. “Introduction.” Journal of Mathematical Physics. American Institute of Physics, 2014. https://doi.org/10.1063/1.4884877. ieee: V. Jakšić, C. Pillet, and R. Seiringer, “Introduction,” Journal of Mathematical Physics, vol. 55, no. 7. American Institute of Physics, 2014. ista: Jakšić V, Pillet C, Seiringer R. 2014. Introduction. Journal of Mathematical Physics. 55(7), 075101. mla: Jakšić, Vojkan, et al. “Introduction.” Journal of Mathematical Physics, vol. 55, no. 7, 075101, American Institute of Physics, 2014, doi:10.1063/1.4884877. short: V. Jakšić, C. Pillet, R. Seiringer, Journal of Mathematical Physics 55 (2014). date_created: 2018-12-11T11:54:12Z date_published: 2014-07-01T00:00:00Z date_updated: 2021-01-12T06:53:25Z day: '01' department: - _id: RoSe doi: 10.1063/1.4884877 intvolume: ' 55' issue: '7' language: - iso: eng month: '07' oa_version: None publication: Journal of Mathematical Physics publication_status: published publisher: American Institute of Physics publist_id: '5284' quality_controlled: '1' scopus_import: 1 status: public title: Introduction type: journal_article user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87 volume: 55 year: '2014' ... --- _id: '1889' abstract: - lang: eng text: We study translation-invariant quasi-free states for a system of fermions with two-particle interactions. The associated energy functional is similar to the BCS functional but also includes direct and exchange energies. We show that for suitable short-range interactions, these latter terms only lead to a renormalization of the chemical potential, with the usual properties of the BCS functional left unchanged. Our analysis thus represents a rigorous justification of part of the BCS approximation. We give bounds on the critical temperature below which the system displays superfluidity. acknowledgement: We would like to thank Max Lein and Andreas Deuchert for valuable suggestions and remarks. Partial financial support by the NSERC (R.S.) is gratefully acknowledged. article_number: '1450012' article_processing_charge: No article_type: original author: - first_name: Gerhard full_name: Bräunlich, Gerhard last_name: Bräunlich - first_name: Christian full_name: Hainzl, Christian last_name: Hainzl - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Bräunlich G, Hainzl C, Seiringer R. Translation-invariant quasi-free states for fermionic systems and the BCS approximation. Reviews in Mathematical Physics. 2014;26(7). doi:10.1142/S0129055X14500123 apa: Bräunlich, G., Hainzl, C., & Seiringer, R. (2014). Translation-invariant quasi-free states for fermionic systems and the BCS approximation. Reviews in Mathematical Physics. World Scientific Publishing. https://doi.org/10.1142/S0129055X14500123 chicago: Bräunlich, Gerhard, Christian Hainzl, and Robert Seiringer. “Translation-Invariant Quasi-Free States for Fermionic Systems and the BCS Approximation.” Reviews in Mathematical Physics. World Scientific Publishing, 2014. https://doi.org/10.1142/S0129055X14500123. ieee: G. Bräunlich, C. Hainzl, and R. Seiringer, “Translation-invariant quasi-free states for fermionic systems and the BCS approximation,” Reviews in Mathematical Physics, vol. 26, no. 7. World Scientific Publishing, 2014. ista: Bräunlich G, Hainzl C, Seiringer R. 2014. Translation-invariant quasi-free states for fermionic systems and the BCS approximation. Reviews in Mathematical Physics. 26(7), 1450012. mla: Bräunlich, Gerhard, et al. “Translation-Invariant Quasi-Free States for Fermionic Systems and the BCS Approximation.” Reviews in Mathematical Physics, vol. 26, no. 7, 1450012, World Scientific Publishing, 2014, doi:10.1142/S0129055X14500123. short: G. Bräunlich, C. Hainzl, R. Seiringer, Reviews in Mathematical Physics 26 (2014). date_created: 2018-12-11T11:54:33Z date_published: 2014-08-01T00:00:00Z date_updated: 2022-06-07T09:03:09Z day: '01' department: - _id: RoSe doi: 10.1142/S0129055X14500123 external_id: arxiv: - '1305.5135' intvolume: ' 26' issue: '7' language: - iso: eng main_file_link: - open_access: '1' url: http://arxiv.org/abs/1305.5135 month: '08' oa: 1 oa_version: Submitted Version publication: Reviews in Mathematical Physics publication_status: published publisher: World Scientific Publishing publist_id: '5206' quality_controlled: '1' scopus_import: '1' status: public title: Translation-invariant quasi-free states for fermionic systems and the BCS approximation type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 26 year: '2014' ... --- _id: '1904' abstract: - lang: eng text: We prove a Strichartz inequality for a system of orthonormal functions, with an optimal behavior of the constant in the limit of a large number of functions. The estimate generalizes the usual Strichartz inequality, in the same fashion as the Lieb-Thirring inequality generalizes the Sobolev inequality. As an application, we consider the Schrödinger equation with a time-dependent potential and we show the existence of the wave operator in Schatten spaces. author: - first_name: Rupert full_name: Frank, Rupert last_name: Frank - first_name: Mathieu full_name: Lewin, Mathieu last_name: Lewin - first_name: Élliott full_name: Lieb, Élliott last_name: Lieb - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Frank R, Lewin M, Lieb É, Seiringer R. Strichartz inequality for orthonormal functions. Journal of the European Mathematical Society. 2014;16(7):1507-1526. doi:10.4171/JEMS/467 apa: Frank, R., Lewin, M., Lieb, É., & Seiringer, R. (2014). Strichartz inequality for orthonormal functions. Journal of the European Mathematical Society. European Mathematical Society. https://doi.org/10.4171/JEMS/467 chicago: Frank, Rupert, Mathieu Lewin, Élliott Lieb, and Robert Seiringer. “Strichartz Inequality for Orthonormal Functions.” Journal of the European Mathematical Society. European Mathematical Society, 2014. https://doi.org/10.4171/JEMS/467. ieee: R. Frank, M. Lewin, É. Lieb, and R. Seiringer, “Strichartz inequality for orthonormal functions,” Journal of the European Mathematical Society, vol. 16, no. 7. European Mathematical Society, pp. 1507–1526, 2014. ista: Frank R, Lewin M, Lieb É, Seiringer R. 2014. Strichartz inequality for orthonormal functions. Journal of the European Mathematical Society. 16(7), 1507–1526. mla: Frank, Rupert, et al. “Strichartz Inequality for Orthonormal Functions.” Journal of the European Mathematical Society, vol. 16, no. 7, European Mathematical Society, 2014, pp. 1507–26, doi:10.4171/JEMS/467. short: R. Frank, M. Lewin, É. Lieb, R. Seiringer, Journal of the European Mathematical Society 16 (2014) 1507–1526. date_created: 2018-12-11T11:54:38Z date_published: 2014-08-23T00:00:00Z date_updated: 2021-01-12T06:53:58Z day: '23' department: - _id: RoSe doi: 10.4171/JEMS/467 intvolume: ' 16' issue: '7' language: - iso: eng main_file_link: - open_access: '1' url: http://arxiv.org/abs/1306.1309 month: '08' oa: 1 oa_version: Submitted Version page: 1507 - 1526 project: - _id: 26450934-B435-11E9-9278-68D0E5697425 name: NSERC Postdoctoral fellowship publication: Journal of the European Mathematical Society publication_status: published publisher: European Mathematical Society publist_id: '5191' quality_controlled: '1' scopus_import: 1 status: public title: Strichartz inequality for orthonormal functions type: journal_article user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87 volume: 16 year: '2014' ... --- _id: '1918' abstract: - lang: eng text: As the nuclear charge Z is continuously decreased an N-electron atom undergoes a binding-unbinding transition. We investigate whether the electrons remain bound and whether the radius of the system stays finite as the critical value Zc is approached. Existence of a ground state at Zc is shown under the condition Zc < N-K, where K is the maximal number of electrons that can be removed at Zc without changing the energy. article_number: '1350021' author: - first_name: Jacopo full_name: Bellazzini, Jacopo last_name: Bellazzini - first_name: Rupert full_name: Frank, Rupert last_name: Frank - first_name: Élliott full_name: Lieb, Élliott last_name: Lieb - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Bellazzini J, Frank R, Lieb É, Seiringer R. Existence of ground states for negative ions at the binding threshold. Reviews in Mathematical Physics. 2014;26(1). doi:10.1142/S0129055X13500219 apa: Bellazzini, J., Frank, R., Lieb, É., & Seiringer, R. (2014). Existence of ground states for negative ions at the binding threshold. Reviews in Mathematical Physics. World Scientific Publishing. https://doi.org/10.1142/S0129055X13500219 chicago: Bellazzini, Jacopo, Rupert Frank, Élliott Lieb, and Robert Seiringer. “Existence of Ground States for Negative Ions at the Binding Threshold.” Reviews in Mathematical Physics. World Scientific Publishing, 2014. https://doi.org/10.1142/S0129055X13500219. ieee: J. Bellazzini, R. Frank, É. Lieb, and R. Seiringer, “Existence of ground states for negative ions at the binding threshold,” Reviews in Mathematical Physics, vol. 26, no. 1. World Scientific Publishing, 2014. ista: Bellazzini J, Frank R, Lieb É, Seiringer R. 2014. Existence of ground states for negative ions at the binding threshold. Reviews in Mathematical Physics. 26(1), 1350021. mla: Bellazzini, Jacopo, et al. “Existence of Ground States for Negative Ions at the Binding Threshold.” Reviews in Mathematical Physics, vol. 26, no. 1, 1350021, World Scientific Publishing, 2014, doi:10.1142/S0129055X13500219. short: J. Bellazzini, R. Frank, É. Lieb, R. Seiringer, Reviews in Mathematical Physics 26 (2014). date_created: 2018-12-11T11:54:42Z date_published: 2014-02-01T00:00:00Z date_updated: 2021-01-12T06:54:04Z day: '01' department: - _id: RoSe doi: 10.1142/S0129055X13500219 intvolume: ' 26' issue: '1' language: - iso: eng main_file_link: - open_access: '1' url: http://arxiv.org/abs/1301.5370 month: '02' oa: 1 oa_version: Submitted Version project: - _id: 26450934-B435-11E9-9278-68D0E5697425 name: NSERC Postdoctoral fellowship publication: Reviews in Mathematical Physics publication_status: published publisher: World Scientific Publishing publist_id: '5176' quality_controlled: '1' scopus_import: 1 status: public title: Existence of ground states for negative ions at the binding threshold type: journal_article user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87 volume: 26 year: '2014' ... --- _id: '1935' abstract: - lang: eng text: 'We consider Ising models in d = 2 and d = 3 dimensions with nearest neighbor ferromagnetic and long-range antiferromagnetic interactions, the latter decaying as (distance)-p, p > 2d, at large distances. If the strength J of the ferromagnetic interaction is larger than a critical value J c, then the ground state is homogeneous. It has been conjectured that when J is smaller than but close to J c, the ground state is periodic and striped, with stripes of constant width h = h(J), and h → ∞ as J → Jc -. (In d = 3 stripes mean slabs, not columns.) Here we rigorously prove that, if we normalize the energy in such a way that the energy of the homogeneous state is zero, then the ratio e 0(J)/e S(J) tends to 1 as J → Jc -, with e S(J) being the energy per site of the optimal periodic striped/slabbed state and e 0(J) the actual ground state energy per site of the system. Our proof comes with explicit bounds on the difference e 0(J)-e S(J) at small but positive J c-J, and also shows that in this parameter range the ground state is striped/slabbed in a certain sense: namely, if one looks at a randomly chosen window, of suitable size ℓ (very large compared to the optimal stripe size h(J)), one finds a striped/slabbed state with high probability.' acknowledgement: "2014 by the authors. This paper may be reproduced, in its entirety, for non-commercial purposes.\r\n\r\nThe research leading to these results has received funding from the European Research\r\nCouncil under the European Union’s Seventh Framework Programme ERC Starting Grant CoMBoS (Grant Agreement No. 239694; A.G. and R.S.), the U.S. National Science Foundation (Grant PHY 0965859; E.H.L.), the Simons Foundation (Grant # 230207; E.H.L) and the NSERC (R.S.). The work is part of a project started in collaboration with Joel Lebowitz, whom we thank for many useful discussions and for his constant encouragement." article_processing_charge: No article_type: original author: - first_name: Alessandro full_name: Giuliani, Alessandro last_name: Giuliani - first_name: Élliott full_name: Lieb, Élliott last_name: Lieb - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Giuliani A, Lieb É, Seiringer R. Formation of stripes and slabs near the ferromagnetic transition. Communications in Mathematical Physics. 2014;331:333-350. doi:10.1007/s00220-014-1923-2 apa: Giuliani, A., Lieb, É., & Seiringer, R. (2014). Formation of stripes and slabs near the ferromagnetic transition. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-014-1923-2 chicago: Giuliani, Alessandro, Élliott Lieb, and Robert Seiringer. “Formation of Stripes and Slabs near the Ferromagnetic Transition.” Communications in Mathematical Physics. Springer, 2014. https://doi.org/10.1007/s00220-014-1923-2. ieee: A. Giuliani, É. Lieb, and R. Seiringer, “Formation of stripes and slabs near the ferromagnetic transition,” Communications in Mathematical Physics, vol. 331. Springer, pp. 333–350, 2014. ista: Giuliani A, Lieb É, Seiringer R. 2014. Formation of stripes and slabs near the ferromagnetic transition. Communications in Mathematical Physics. 331, 333–350. mla: Giuliani, Alessandro, et al. “Formation of Stripes and Slabs near the Ferromagnetic Transition.” Communications in Mathematical Physics, vol. 331, Springer, 2014, pp. 333–50, doi:10.1007/s00220-014-1923-2. short: A. Giuliani, É. Lieb, R. Seiringer, Communications in Mathematical Physics 331 (2014) 333–350. date_created: 2018-12-11T11:54:48Z date_published: 2014-10-01T00:00:00Z date_updated: 2022-05-24T08:32:50Z day: '01' ddc: - '510' department: - _id: RoSe doi: 10.1007/s00220-014-1923-2 external_id: arxiv: - '1304.6344' file: - access_level: open_access checksum: c8423271cd1e1ba9e44c47af75efe7b6 content_type: application/pdf creator: dernst date_created: 2022-05-24T08:30:40Z date_updated: 2022-05-24T08:30:40Z file_id: '11409' file_name: 2014_CommMathPhysics_Giuliani.pdf file_size: 334064 relation: main_file success: 1 file_date_updated: 2022-05-24T08:30:40Z has_accepted_license: '1' intvolume: ' 331' language: - iso: eng month: '10' oa: 1 oa_version: Published Version page: 333 - 350 publication: Communications in Mathematical Physics publication_identifier: eissn: - 1432-0916 issn: - 0010-3616 publication_status: published publisher: Springer publist_id: '5159' quality_controlled: '1' scopus_import: '1' status: public title: Formation of stripes and slabs near the ferromagnetic transition type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 331 year: '2014' ... --- _id: '2029' abstract: - lang: eng text: Spin-wave theory is a key ingredient in our comprehension of quantum spin systems, and is used successfully for understanding a wide range of magnetic phenomena, including magnon condensation and stability of patterns in dipolar systems. Nevertheless, several decades of research failed to establish the validity of spin-wave theory rigorously, even for the simplest models of quantum spins. A rigorous justification of the method for the three-dimensional quantum Heisenberg ferromagnet at low temperatures is presented here. We derive sharp bounds on its free energy by combining a bosonic formulation of the model introduced by Holstein and Primakoff with probabilistic estimates and operator inequalities. acknowledgement: 239694; ERC; European Research Council article_number: '20003' author: - first_name: Michele full_name: Correggi, Michele last_name: Correggi - first_name: Alessandro full_name: Giuliani, Alessandro last_name: Giuliani - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Correggi M, Giuliani A, Seiringer R. Validity of spin-wave theory for the quantum Heisenberg model. EPL. 2014;108(2). doi:10.1209/0295-5075/108/20003 apa: Correggi, M., Giuliani, A., & Seiringer, R. (2014). Validity of spin-wave theory for the quantum Heisenberg model. EPL. IOP Publishing Ltd. https://doi.org/10.1209/0295-5075/108/20003 chicago: Correggi, Michele, Alessandro Giuliani, and Robert Seiringer. “Validity of Spin-Wave Theory for the Quantum Heisenberg Model.” EPL. IOP Publishing Ltd., 2014. https://doi.org/10.1209/0295-5075/108/20003. ieee: M. Correggi, A. Giuliani, and R. Seiringer, “Validity of spin-wave theory for the quantum Heisenberg model,” EPL, vol. 108, no. 2. IOP Publishing Ltd., 2014. ista: Correggi M, Giuliani A, Seiringer R. 2014. Validity of spin-wave theory for the quantum Heisenberg model. EPL. 108(2), 20003. mla: Correggi, Michele, et al. “Validity of Spin-Wave Theory for the Quantum Heisenberg Model.” EPL, vol. 108, no. 2, 20003, IOP Publishing Ltd., 2014, doi:10.1209/0295-5075/108/20003. short: M. Correggi, A. Giuliani, R. Seiringer, EPL 108 (2014). date_created: 2018-12-11T11:55:18Z date_published: 2014-10-13T00:00:00Z date_updated: 2021-01-12T06:54:50Z day: '13' department: - _id: RoSe doi: 10.1209/0295-5075/108/20003 intvolume: ' 108' issue: '2' language: - iso: eng main_file_link: - open_access: '1' url: http://arxiv.org/abs/1404.4717 month: '10' oa: 1 oa_version: Submitted Version publication: EPL publication_status: published publisher: IOP Publishing Ltd. publist_id: '5044' quality_controlled: '1' scopus_import: 1 status: public title: Validity of spin-wave theory for the quantum Heisenberg model type: journal_article user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87 volume: 108 year: '2014' ... --- _id: '2186' abstract: - lang: eng text: We prove the existence of scattering states for the defocusing cubic Gross-Pitaevskii (GP) hierarchy in ℝ3. Moreover, we show that an exponential energy growth condition commonly used in the well-posedness theory of the GP hierarchy is, in a specific sense, necessary. In fact, we prove that without the latter, there exist initial data for the focusing cubic GP hierarchy for which instantaneous blowup occurs. author: - first_name: Thomas full_name: Chen, Thomas last_name: Chen - first_name: Christian full_name: Hainzl, Christian last_name: Hainzl - first_name: Nataša full_name: Pavlović, Nataša last_name: Pavlović - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Chen T, Hainzl C, Pavlović N, Seiringer R. On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti. Letters in Mathematical Physics. 2014;104(7):871-891. doi:10.1007/s11005-014-0693-2 apa: Chen, T., Hainzl, C., Pavlović, N., & Seiringer, R. (2014). On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti. Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-014-0693-2 chicago: Chen, Thomas, Christian Hainzl, Nataša Pavlović, and Robert Seiringer. “On the Well-Posedness and Scattering for the Gross-Pitaevskii Hierarchy via Quantum de Finetti.” Letters in Mathematical Physics. Springer, 2014. https://doi.org/10.1007/s11005-014-0693-2. ieee: T. Chen, C. Hainzl, N. Pavlović, and R. Seiringer, “On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti,” Letters in Mathematical Physics, vol. 104, no. 7. Springer, pp. 871–891, 2014. ista: Chen T, Hainzl C, Pavlović N, Seiringer R. 2014. On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti. Letters in Mathematical Physics. 104(7), 871–891. mla: Chen, Thomas, et al. “On the Well-Posedness and Scattering for the Gross-Pitaevskii Hierarchy via Quantum de Finetti.” Letters in Mathematical Physics, vol. 104, no. 7, Springer, 2014, pp. 871–91, doi:10.1007/s11005-014-0693-2. short: T. Chen, C. Hainzl, N. Pavlović, R. Seiringer, Letters in Mathematical Physics 104 (2014) 871–891. date_created: 2018-12-11T11:56:12Z date_published: 2014-05-07T00:00:00Z date_updated: 2021-01-12T06:55:51Z day: '07' department: - _id: RoSe doi: 10.1007/s11005-014-0693-2 intvolume: ' 104' issue: '7' language: - iso: eng main_file_link: - open_access: '1' url: http://arxiv.org/abs/1311.2136 month: '05' oa: 1 oa_version: Submitted Version page: 871 - 891 project: - _id: 26450934-B435-11E9-9278-68D0E5697425 name: NSERC Postdoctoral fellowship publication: Letters in Mathematical Physics publication_status: published publisher: Springer publist_id: '4793' quality_controlled: '1' scopus_import: 1 status: public title: On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti type: journal_article user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87 volume: 104 year: '2014' ... --- _id: '10814' abstract: - lang: eng text: We review recent progress towards a rigorous understanding of the excitation spectrum of bosonic quantum many-body systems. In particular, we explain how one can rigorously establish the predictions resulting from the Bogoliubov approximation in the mean field limit. The latter predicts that the spectrum is made up of elementary excitations, whose energy behaves linearly in the momentum for small momentum. This property is crucial for the superfluid behavior of the system. We also discuss a list of open problems in this field. article_processing_charge: No article_type: original author: - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Seiringer R. The excitation spectrum for Bose fluids with weak interactions. Jahresbericht der Deutschen Mathematiker-Vereinigung. 2014;116:21-41. doi:10.1365/s13291-014-0083-9 apa: Seiringer, R. (2014). The excitation spectrum for Bose fluids with weak interactions. Jahresbericht Der Deutschen Mathematiker-Vereinigung. Springer Nature. https://doi.org/10.1365/s13291-014-0083-9 chicago: Seiringer, Robert. “The Excitation Spectrum for Bose Fluids with Weak Interactions.” Jahresbericht Der Deutschen Mathematiker-Vereinigung. Springer Nature, 2014. https://doi.org/10.1365/s13291-014-0083-9. ieee: R. Seiringer, “The excitation spectrum for Bose fluids with weak interactions,” Jahresbericht der Deutschen Mathematiker-Vereinigung, vol. 116. Springer Nature, pp. 21–41, 2014. ista: Seiringer R. 2014. The excitation spectrum for Bose fluids with weak interactions. Jahresbericht der Deutschen Mathematiker-Vereinigung. 116, 21–41. mla: Seiringer, Robert. “The Excitation Spectrum for Bose Fluids with Weak Interactions.” Jahresbericht Der Deutschen Mathematiker-Vereinigung, vol. 116, Springer Nature, 2014, pp. 21–41, doi:10.1365/s13291-014-0083-9. short: R. Seiringer, Jahresbericht Der Deutschen Mathematiker-Vereinigung 116 (2014) 21–41. date_created: 2022-03-04T07:54:39Z date_published: 2014-03-01T00:00:00Z date_updated: 2023-09-05T14:19:47Z day: '01' department: - _id: RoSe doi: 10.1365/s13291-014-0083-9 intvolume: ' 116' keyword: - General Medicine language: - iso: eng month: '03' oa_version: None page: 21-41 publication: Jahresbericht der Deutschen Mathematiker-Vereinigung publication_identifier: eissn: - 1869-7135 issn: - 0012-0456 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: The excitation spectrum for Bose fluids with weak interactions type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 116 year: '2014' ... --- _id: '8044' abstract: - lang: eng text: Many questions concerning models in quantum mechanics require a detailed analysis of the spectrum of the corresponding Hamiltonian, a linear operator on a suitable Hilbert space. Of particular relevance for an understanding of the low-temperature properties of a system is the structure of the excitation spectrum, which is the part of the spectrum close to the spectral bottom. We present recent progress on this question for bosonic many-body quantum systems with weak two-body interactions. Such system are currently of great interest, due to their experimental realization in ultra-cold atomic gases. We investigate the accuracy of the Bogoliubov approximations, which predicts that the low-energy spectrum is made up of sums of elementary excitations, with linear dispersion law at low momentum. The latter property is crucial for the superfluid behavior the system. article_processing_charge: No author: - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: 'Seiringer R. Structure of the excitation spectrum for many-body quantum systems. In: Proceeding of the International Congress of Mathematicans. Vol 3. International Congress of Mathematicians; 2014:1175-1194.' apa: 'Seiringer, R. (2014). Structure of the excitation spectrum for many-body quantum systems. In Proceeding of the International Congress of Mathematicans (Vol. 3, pp. 1175–1194). Seoul, South Korea: International Congress of Mathematicians.' chicago: Seiringer, Robert. “Structure of the Excitation Spectrum for Many-Body Quantum Systems.” In Proceeding of the International Congress of Mathematicans, 3:1175–94. International Congress of Mathematicians, 2014. ieee: R. Seiringer, “Structure of the excitation spectrum for many-body quantum systems,” in Proceeding of the International Congress of Mathematicans, Seoul, South Korea, 2014, vol. 3, pp. 1175–1194. ista: 'Seiringer R. 2014. Structure of the excitation spectrum for many-body quantum systems. Proceeding of the International Congress of Mathematicans. ICM: International Congress of Mathematicans vol. 3, 1175–1194.' mla: Seiringer, Robert. “Structure of the Excitation Spectrum for Many-Body Quantum Systems.” Proceeding of the International Congress of Mathematicans, vol. 3, International Congress of Mathematicians, 2014, pp. 1175–94. short: R. Seiringer, in:, Proceeding of the International Congress of Mathematicans, International Congress of Mathematicians, 2014, pp. 1175–1194. conference: end_date: 2014-08-21 location: Seoul, South Korea name: 'ICM: International Congress of Mathematicans' start_date: 2014-08-13 date_created: 2020-06-29T07:59:35Z date_published: 2014-08-01T00:00:00Z date_updated: 2023-10-17T11:12:33Z day: '01' department: - _id: RoSe intvolume: ' 3' language: - iso: eng main_file_link: - open_access: '1' url: http://www.icm2014.org/en/vod/proceedings.html month: '08' oa: 1 oa_version: Published Version page: 1175-1194 publication: Proceeding of the International Congress of Mathematicans publication_identifier: isbn: - '9788961058063' publication_status: published publisher: International Congress of Mathematicians quality_controlled: '1' scopus_import: '1' status: public title: Structure of the excitation spectrum for many-body quantum systems type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 3 year: '2014' ... --- _id: '2281' abstract: - lang: eng text: We consider two-dimensional Bose-Einstein condensates with attractive interaction, described by the Gross-Pitaevskii functional. Minimizers of this functional exist only if the interaction strength a satisfies {Mathematical expression}, where Q is the unique positive radial solution of {Mathematical expression} in {Mathematical expression}. We present a detailed analysis of the behavior of minimizers as a approaches a*, where all the mass concentrates at a global minimum of the trapping potential. article_processing_charge: No article_type: original author: - first_name: Yujin full_name: Guo, Yujin last_name: Guo - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Guo Y, Seiringer R. On the mass concentration for Bose-Einstein condensates with attractive interactions. Letters in Mathematical Physics. 2014;104(2):141-156. doi:10.1007/s11005-013-0667-9 apa: Guo, Y., & Seiringer, R. (2014). On the mass concentration for Bose-Einstein condensates with attractive interactions. Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-013-0667-9 chicago: Guo, Yujin, and Robert Seiringer. “On the Mass Concentration for Bose-Einstein Condensates with Attractive Interactions.” Letters in Mathematical Physics. Springer, 2014. https://doi.org/10.1007/s11005-013-0667-9. ieee: Y. Guo and R. Seiringer, “On the mass concentration for Bose-Einstein condensates with attractive interactions,” Letters in Mathematical Physics, vol. 104, no. 2. Springer, pp. 141–156, 2014. ista: Guo Y, Seiringer R. 2014. On the mass concentration for Bose-Einstein condensates with attractive interactions. Letters in Mathematical Physics. 104(2), 141–156. mla: Guo, Yujin, and Robert Seiringer. “On the Mass Concentration for Bose-Einstein Condensates with Attractive Interactions.” Letters in Mathematical Physics, vol. 104, no. 2, Springer, 2014, pp. 141–56, doi:10.1007/s11005-013-0667-9. short: Y. Guo, R. Seiringer, Letters in Mathematical Physics 104 (2014) 141–156. date_created: 2018-12-11T11:56:44Z date_published: 2014-02-01T00:00:00Z date_updated: 2024-02-14T12:19:42Z day: '01' department: - _id: RoSe doi: 10.1007/s11005-013-0667-9 external_id: arxiv: - '1301.5682' intvolume: ' 104' issue: '2' language: - iso: eng main_file_link: - open_access: '1' url: http://arxiv.org/abs/1301.5682 month: '02' oa: 1 oa_version: Preprint page: 141 - 156 publication: Letters in Mathematical Physics publication_status: published publisher: Springer publist_id: '4653' quality_controlled: '1' scopus_import: '1' status: public title: On the mass concentration for Bose-Einstein condensates with attractive interactions type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 104 year: '2014' ... --- _id: '2297' abstract: - lang: eng text: We present an overview of mathematical results on the low temperature properties of dilute quantum gases, which have been obtained in the past few years. The presentation includes a discussion of Bose-Einstein condensation, the excitation spectrum for trapped gases and its relation to superfluidity, as well as the appearance of quantized vortices in rotating systems. All these properties are intensely being studied in current experiments on cold atomic gases. We will give a description of the mathematics involved in understanding these phenomena, starting from the underlying many-body Schrödinger equation. author: - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: 'Seiringer R. Hot topics in cold gases: A mathematical physics perspective. Japanese Journal of Mathematics. 2013;8(2):185-232. doi:10.1007/s11537-013-1264-5' apa: 'Seiringer, R. (2013). Hot topics in cold gases: A mathematical physics perspective. Japanese Journal of Mathematics. Springer. https://doi.org/10.1007/s11537-013-1264-5' chicago: 'Seiringer, Robert. “Hot Topics in Cold Gases: A Mathematical Physics Perspective.” Japanese Journal of Mathematics. Springer, 2013. https://doi.org/10.1007/s11537-013-1264-5.' ieee: 'R. Seiringer, “Hot topics in cold gases: A mathematical physics perspective,” Japanese Journal of Mathematics, vol. 8, no. 2. Springer, pp. 185–232, 2013.' ista: 'Seiringer R. 2013. Hot topics in cold gases: A mathematical physics perspective. Japanese Journal of Mathematics. 8(2), 185–232.' mla: 'Seiringer, Robert. “Hot Topics in Cold Gases: A Mathematical Physics Perspective.” Japanese Journal of Mathematics, vol. 8, no. 2, Springer, 2013, pp. 185–232, doi:10.1007/s11537-013-1264-5.' short: R. Seiringer, Japanese Journal of Mathematics 8 (2013) 185–232. date_created: 2018-12-11T11:56:50Z date_published: 2013-09-24T00:00:00Z date_updated: 2021-01-12T06:56:36Z day: '24' department: - _id: RoSe doi: 10.1007/s11537-013-1264-5 external_id: arxiv: - '0908.3686' intvolume: ' 8' issue: '2' language: - iso: eng main_file_link: - open_access: '1' url: http://arxiv.org/abs/0908.3686 month: '09' oa: 1 oa_version: Preprint page: 185 - 232 publication: Japanese Journal of Mathematics publication_status: published publisher: Springer publist_id: '4631' quality_controlled: '1' scopus_import: 1 status: public title: 'Hot topics in cold gases: A mathematical physics perspective' type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 8 year: '2013' ... --- _id: '2300' abstract: - lang: eng text: We consider Ising models in two and three dimensions with nearest neighbor ferromagnetic interactions and long-range, power law decaying, antiferromagnetic interactions. If the strength of the ferromagnetic coupling J is larger than a critical value Jc, then the ground state is homogeneous and ferromagnetic. As the critical value is approached from smaller values of J, it is believed that the ground state consists of a periodic array of stripes (d=2) or slabs (d=3), all of the same size and alternating magnetization. Here we prove rigorously that the ground state energy per site converges to that of the optimal periodic striped or slabbed state, in the limit that J tends to the ferromagnetic transition point. While this theorem does not prove rigorously that the ground state is precisely striped or slabbed, it does prove that in any suitably large box the ground state is striped or slabbed with high probability. article_number: '064401' author: - first_name: Alessandro full_name: Giuliani, Alessandro last_name: Giuliani - first_name: Élliott full_name: Lieb, Élliott last_name: Lieb - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Giuliani A, Lieb É, Seiringer R. Realization of stripes and slabs in two and three dimensions. Physical Review B. 2013;88(6). doi:10.1103/PhysRevB.88.064401 apa: Giuliani, A., Lieb, É., & Seiringer, R. (2013). Realization of stripes and slabs in two and three dimensions. Physical Review B. American Physical Society. https://doi.org/10.1103/PhysRevB.88.064401 chicago: Giuliani, Alessandro, Élliott Lieb, and Robert Seiringer. “Realization of Stripes and Slabs in Two and Three Dimensions.” Physical Review B. American Physical Society, 2013. https://doi.org/10.1103/PhysRevB.88.064401. ieee: A. Giuliani, É. Lieb, and R. Seiringer, “Realization of stripes and slabs in two and three dimensions,” Physical Review B, vol. 88, no. 6. American Physical Society, 2013. ista: Giuliani A, Lieb É, Seiringer R. 2013. Realization of stripes and slabs in two and three dimensions. Physical Review B. 88(6), 064401. mla: Giuliani, Alessandro, et al. “Realization of Stripes and Slabs in Two and Three Dimensions.” Physical Review B, vol. 88, no. 6, 064401, American Physical Society, 2013, doi:10.1103/PhysRevB.88.064401. short: A. Giuliani, É. Lieb, R. Seiringer, Physical Review B 88 (2013). date_created: 2018-12-11T11:56:51Z date_published: 2013-08-01T00:00:00Z date_updated: 2021-01-12T06:56:38Z day: '01' department: - _id: RoSe doi: 10.1103/PhysRevB.88.064401 external_id: arxiv: - '1305.5323' intvolume: ' 88' issue: '6' language: - iso: eng main_file_link: - open_access: '1' url: http://arxiv.org/abs/1305.5323 month: '08' oa: 1 oa_version: Preprint publication: Physical Review B publication_status: published publisher: American Physical Society publist_id: '4627' quality_controlled: '1' scopus_import: 1 status: public title: Realization of stripes and slabs in two and three dimensions type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 88 year: '2013' ... --- _id: '2318' abstract: - lang: eng text: 'We show that bosons interacting via pair potentials with negative scattering length form bound states for a suitable number of particles. In other words, the absence of many-particle bound states of any kind implies the non-negativity of the scattering length of the interaction potential. ' acknowledgement: 'Partial financial support by NSERC ' author: - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Seiringer R. Absence of bound states implies non-negativity of the scattering length. Journal of Spectral Theory. 2012;2(3):321-328. doi:10.4171/JST/31 apa: Seiringer, R. (2012). Absence of bound states implies non-negativity of the scattering length. Journal of Spectral Theory. European Mathematical Society. https://doi.org/10.4171/JST/31 chicago: Seiringer, Robert. “Absence of Bound States Implies Non-Negativity of the Scattering Length.” Journal of Spectral Theory. European Mathematical Society, 2012. https://doi.org/10.4171/JST/31. ieee: R. Seiringer, “Absence of bound states implies non-negativity of the scattering length,” Journal of Spectral Theory, vol. 2, no. 3. European Mathematical Society, pp. 321–328, 2012. ista: Seiringer R. 2012. Absence of bound states implies non-negativity of the scattering length. Journal of Spectral Theory. 2(3), 321–328. mla: Seiringer, Robert. “Absence of Bound States Implies Non-Negativity of the Scattering Length.” Journal of Spectral Theory, vol. 2, no. 3, European Mathematical Society, 2012, pp. 321–28, doi:10.4171/JST/31. short: R. Seiringer, Journal of Spectral Theory 2 (2012) 321–328. date_created: 2018-12-11T11:56:58Z date_published: 2012-06-24T00:00:00Z date_updated: 2021-01-12T06:56:44Z day: '24' department: - _id: RoSe doi: 10.4171/JST/31 intvolume: ' 2' issue: '3' language: - iso: eng main_file_link: - open_access: '1' url: http://arxiv.org/abs/1204.0435 month: '06' oa: 1 oa_version: Preprint page: 321-328 publication: Journal of Spectral Theory publication_status: published publisher: European Mathematical Society publist_id: '4609' quality_controlled: '1' status: public title: Absence of bound states implies non-negativity of the scattering length type: journal_article user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 2 year: '2012' ...