--- _id: '2398' abstract: - lang: eng text: We extend the mathematical theory of quantum hypothesis testing to the general W*-algebraic setting and explore its relation with recent developments in non-equilibrium quantum statistical mechanics. In particular, we relate the large deviation principle for the full counting statistics of entropy flow to quantum hypothesis testing of the arrow of time. author: - first_name: Vojkan full_name: Jakšić, Vojkan last_name: Jakšić - first_name: Yoshiko full_name: Ogata, Yoshiko last_name: Ogata - first_name: Claude full_name: Pillet, Claude A last_name: Pillet - first_name: Robert full_name: Robert Seiringer id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Jakšić V, Ogata Y, Pillet C, Seiringer R. Quantum hypothesis testing and non-equilibrium statistical mechanics. Reviews in Mathematical Physics. 2012;24(6). doi:10.1142/S0129055X12300026 apa: Jakšić, V., Ogata, Y., Pillet, C., & Seiringer, R. (2012). Quantum hypothesis testing and non-equilibrium statistical mechanics. Reviews in Mathematical Physics. World Scientific Publishing. https://doi.org/10.1142/S0129055X12300026 chicago: Jakšić, Vojkan, Yoshiko Ogata, Claude Pillet, and Robert Seiringer. “Quantum Hypothesis Testing and Non-Equilibrium Statistical Mechanics.” Reviews in Mathematical Physics. World Scientific Publishing, 2012. https://doi.org/10.1142/S0129055X12300026. ieee: V. Jakšić, Y. Ogata, C. Pillet, and R. Seiringer, “Quantum hypothesis testing and non-equilibrium statistical mechanics,” Reviews in Mathematical Physics, vol. 24, no. 6. World Scientific Publishing, 2012. ista: Jakšić V, Ogata Y, Pillet C, Seiringer R. 2012. Quantum hypothesis testing and non-equilibrium statistical mechanics. Reviews in Mathematical Physics. 24(6). mla: Jakšić, Vojkan, et al. “Quantum Hypothesis Testing and Non-Equilibrium Statistical Mechanics.” Reviews in Mathematical Physics, vol. 24, no. 6, World Scientific Publishing, 2012, doi:10.1142/S0129055X12300026. short: V. Jakšić, Y. Ogata, C. Pillet, R. Seiringer, Reviews in Mathematical Physics 24 (2012). date_created: 2018-12-11T11:57:26Z date_published: 2012-07-01T00:00:00Z date_updated: 2020-07-14T12:45:40Z day: '01' doi: 10.1142/S0129055X12300026 extern: 1 intvolume: ' 24' issue: '6' main_file_link: - open_access: '1' url: http://arxiv.org/abs/1109.3804 month: '07' oa: 1 publication: Reviews in Mathematical Physics publication_status: published publisher: World Scientific Publishing publist_id: '4528' quality_controlled: 0 status: public title: Quantum hypothesis testing and non-equilibrium statistical mechanics type: review volume: 24 year: '2012' ... --- _id: '2397' abstract: - lang: eng text: We consider the low-density limit of a Fermi gas in the BCS approximation. We show that if the interaction potential allows for a two-particle bound state, the system at zero temperature is well approximated by the Gross-Pitaevskii functional, describing a Bose-Einstein condensate of fermion pairs. author: - first_name: Christian full_name: Hainzl, Christian last_name: Hainzl - first_name: Robert full_name: Robert Seiringer id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Hainzl C, Seiringer R. Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs. Letters in Mathematical Physics. 2012;100(2):119-138. doi:10.1007/s11005-011-0535-4 apa: Hainzl, C., & Seiringer, R. (2012). Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs. Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-011-0535-4 chicago: Hainzl, Christian, and Robert Seiringer. “Low Density Limit of BCS Theory and Bose-Einstein Condensation of Fermion Pairs.” Letters in Mathematical Physics. Springer, 2012. https://doi.org/10.1007/s11005-011-0535-4. ieee: C. Hainzl and R. Seiringer, “Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs,” Letters in Mathematical Physics, vol. 100, no. 2. Springer, pp. 119–138, 2012. ista: Hainzl C, Seiringer R. 2012. Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs. Letters in Mathematical Physics. 100(2), 119–138. mla: Hainzl, Christian, and Robert Seiringer. “Low Density Limit of BCS Theory and Bose-Einstein Condensation of Fermion Pairs.” Letters in Mathematical Physics, vol. 100, no. 2, Springer, 2012, pp. 119–38, doi:10.1007/s11005-011-0535-4. short: C. Hainzl, R. Seiringer, Letters in Mathematical Physics 100 (2012) 119–138. date_created: 2018-12-11T11:57:25Z date_published: 2012-05-01T00:00:00Z date_updated: 2021-01-12T06:57:14Z day: '01' doi: 10.1007/s11005-011-0535-4 extern: 1 intvolume: ' 100' issue: '2' main_file_link: - open_access: '1' url: http://arxiv.org/abs/1105.1100 month: '05' oa: 1 page: 119 - 138 publication: Letters in Mathematical Physics publication_status: published publisher: Springer publist_id: '4530' quality_controlled: 0 status: public title: Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs type: journal_article volume: 100 year: '2012' ... --- _id: '240' abstract: - lang: eng text: We investigate the frequency of positive squareful numbers x, y, z≤B for which x+y=z and present a conjecture concerning its asymptotic behavior. acknowledgement: "EP/E053262/1\tEngineering and Physical Sciences Research Council" author: - first_name: Timothy D full_name: Timothy Browning id: 35827D50-F248-11E8-B48F-1D18A9856A87 last_name: Browning orcid: 0000-0002-8314-0177 - first_name: K Van full_name: Valckenborgh, K Van last_name: Valckenborgh citation: ama: Browning TD, Valckenborgh KV. Sums of three squareful numbers. Experimental Mathematics. 2012;21(2):204-211. doi:10.1080/10586458.2011.605733 apa: Browning, T. D., & Valckenborgh, K. V. (2012). Sums of three squareful numbers. Experimental Mathematics. Taylor & Francis. https://doi.org/10.1080/10586458.2011.605733 chicago: Browning, Timothy D, and K Van Valckenborgh. “Sums of Three Squareful Numbers.” Experimental Mathematics. Taylor & Francis, 2012. https://doi.org/10.1080/10586458.2011.605733. ieee: T. D. Browning and K. V. Valckenborgh, “Sums of three squareful numbers,” Experimental Mathematics, vol. 21, no. 2. Taylor & Francis, pp. 204–211, 2012. ista: Browning TD, Valckenborgh KV. 2012. Sums of three squareful numbers. Experimental Mathematics. 21(2), 204–211. mla: Browning, Timothy D., and K. Van Valckenborgh. “Sums of Three Squareful Numbers.” Experimental Mathematics, vol. 21, no. 2, Taylor & Francis, 2012, pp. 204–11, doi:10.1080/10586458.2011.605733. short: T.D. Browning, K.V. Valckenborgh, Experimental Mathematics 21 (2012) 204–211. date_created: 2018-12-11T11:45:23Z date_published: 2012-05-23T00:00:00Z date_updated: 2021-01-12T06:57:15Z day: '23' doi: 10.1080/10586458.2011.605733 extern: 1 intvolume: ' 21' issue: '2' month: '05' page: 204 - 211 publication: Experimental Mathematics publication_status: published publisher: Taylor & Francis publist_id: '7664' quality_controlled: 0 status: public title: Sums of three squareful numbers type: journal_article volume: 21 year: '2012' ... --- _id: '2400' abstract: - lang: eng text: If the polaron coupling constant α is large enough, bipolarons or multi-polarons will form. When passing through the critical α c from above, does the radius of the system simply get arbitrarily large or does it reach a maximum and then explode? We prove that it is always the latter. We also prove the analogous statement for the Pekar-Tomasevich (PT) approximation to the energy, in which case there is a solution to the PT equation at α c. Similarly, we show that the same phenomenon occurs for atoms, e. g., helium, at the critical value of the nuclear charge. Our proofs rely only on energy estimates, not on a detailed analysis of the Schrödinger equation, and are very general. They use the fact that the Coulomb repulsion decays like 1/r, while 'uncertainty principle' localization energies decay more rapidly, as 1/r 2. author: - first_name: Rupert full_name: Frank, Rupert L last_name: Frank - first_name: Élliott full_name: Lieb, Élliott H last_name: Lieb - first_name: Robert full_name: Robert Seiringer id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Frank R, Lieb É, Seiringer R. Binding of polarons and atoms at threshold. Communications in Mathematical Physics. 2012;313(2):405-424. doi:10.1007/s00220-012-1436-9 apa: Frank, R., Lieb, É., & Seiringer, R. (2012). Binding of polarons and atoms at threshold. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-012-1436-9 chicago: Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Binding of Polarons and Atoms at Threshold.” Communications in Mathematical Physics. Springer, 2012. https://doi.org/10.1007/s00220-012-1436-9. ieee: R. Frank, É. Lieb, and R. Seiringer, “Binding of polarons and atoms at threshold,” Communications in Mathematical Physics, vol. 313, no. 2. Springer, pp. 405–424, 2012. ista: Frank R, Lieb É, Seiringer R. 2012. Binding of polarons and atoms at threshold. Communications in Mathematical Physics. 313(2), 405–424. mla: Frank, Rupert, et al. “Binding of Polarons and Atoms at Threshold.” Communications in Mathematical Physics, vol. 313, no. 2, Springer, 2012, pp. 405–24, doi:10.1007/s00220-012-1436-9. short: R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 313 (2012) 405–424. date_created: 2018-12-11T11:57:27Z date_published: 2012-07-01T00:00:00Z date_updated: 2021-01-12T06:57:15Z day: '01' doi: 10.1007/s00220-012-1436-9 extern: 1 intvolume: ' 313' issue: '2' main_file_link: - open_access: '1' url: http://arxiv.org/abs/1106.0729 month: '07' oa: 1 page: 405 - 424 publication: Communications in Mathematical Physics publication_status: published publisher: Springer publist_id: '4527' quality_controlled: 0 status: public title: Binding of polarons and atoms at threshold type: journal_article volume: 313 year: '2012' ... --- _id: '2403' abstract: - lang: eng text: We study the effects of random scatterers on the ground state of the one-dimensional Lieb-Liniger model of interacting bosons on the unit interval in the Gross-Pitaevskii regime. We prove that Bose-Einstein condensation survives even a strong random potential with a high density of scatterers. The character of the wavefunction of the condensate, however, depends in an essential way on the interplay between randomness and the strength of the two-body interaction. For low density of scatterers and strong interactions the wavefunction extends over the whole interval. A high density of scatterers and weak interactions, on the other hand, lead to localization of the wavefunction in a fragmented subset of the interval. author: - first_name: Robert full_name: Robert Seiringer id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 - first_name: Jakob full_name: Yngvason, Jakob last_name: Yngvason - first_name: Valentin full_name: Zagrebnov, Valentin A last_name: Zagrebnov citation: ama: Seiringer R, Yngvason J, Zagrebnov V. Disordered Bose-Einstein condensates with interaction in one dimension. Journal of Statistical Mechanics Theory and Experiment. 2012;2012(11). doi:10.1088/1742-5468/2012/11/P11007 apa: Seiringer, R., Yngvason, J., & Zagrebnov, V. (2012). Disordered Bose-Einstein condensates with interaction in one dimension. Journal of Statistical Mechanics Theory and Experiment. IOP Publishing Ltd. https://doi.org/10.1088/1742-5468/2012/11/P11007 chicago: Seiringer, Robert, Jakob Yngvason, and Valentin Zagrebnov. “Disordered Bose-Einstein Condensates with Interaction in One Dimension.” Journal of Statistical Mechanics Theory and Experiment. IOP Publishing Ltd., 2012. https://doi.org/10.1088/1742-5468/2012/11/P11007. ieee: R. Seiringer, J. Yngvason, and V. Zagrebnov, “Disordered Bose-Einstein condensates with interaction in one dimension,” Journal of Statistical Mechanics Theory and Experiment, vol. 2012, no. 11. IOP Publishing Ltd., 2012. ista: Seiringer R, Yngvason J, Zagrebnov V. 2012. Disordered Bose-Einstein condensates with interaction in one dimension. Journal of Statistical Mechanics Theory and Experiment. 2012(11). mla: Seiringer, Robert, et al. “Disordered Bose-Einstein Condensates with Interaction in One Dimension.” Journal of Statistical Mechanics Theory and Experiment, vol. 2012, no. 11, IOP Publishing Ltd., 2012, doi:10.1088/1742-5468/2012/11/P11007. short: R. Seiringer, J. Yngvason, V. Zagrebnov, Journal of Statistical Mechanics Theory and Experiment 2012 (2012). date_created: 2018-12-11T11:57:28Z date_published: 2012-11-01T00:00:00Z date_updated: 2021-01-12T06:57:16Z day: '01' doi: 10.1088/1742-5468/2012/11/P11007 extern: 1 intvolume: ' 2012' issue: '11' main_file_link: - open_access: '1' url: http://arxiv.org/abs/1207.7054 month: '11' oa: 1 publication: Journal of Statistical Mechanics Theory and Experiment publication_status: published publisher: IOP Publishing Ltd. publist_id: '4523' quality_controlled: 0 status: public title: Disordered Bose-Einstein condensates with interaction in one dimension type: journal_article volume: 2012 year: '2012' ...