--- _id: '427' abstract: - lang: eng text: We investigate the quantum interference induced shifts between energetically close states in highly charged ions, with the energy structure being observed by laser spectroscopy. In this work, we focus on hyperfine states of lithiumlike heavy-Z isotopes and quantify how much quantum interference changes the observed transition frequencies. The process of photon excitation and subsequent photon decay for the transition 2s→2p→2s is implemented with fully relativistic and full-multipole frameworks, which are relevant for such relativistic atomic systems. We consider the isotopes Pb79+207 and Bi80+209 due to experimental interest, as well as other examples of isotopes with lower Z, namely Pr56+141 and Ho64+165. We conclude that quantum interference can induce shifts up to 11% of the linewidth in the measurable resonances of the considered isotopes, if interference between resonances is neglected. The inclusion of relativity decreases the cross section by 35%, mainly due to the complete retardation form of the electric dipole multipole. However, the contribution of the next higher multipoles (e.g., magnetic quadrupole) to the cross section is negligible. This makes the contribution of relativity and higher-order multipoles to the quantum interference induced shifts a minor effect, even for heavy-Z elements. acknowledgement: "This work was funded by the Portuguese Fundação para a Ciência e a Tecnologia (FCT/MCTES/PIDDAC) under Grant No. UID/FIS/04559/2013 (LIBPhys). P.A. acknowledges the support of the FCT, under Contract No. SFRH/BPD/92329/2013. L.S. acknowledges financial support from the People Programme (Marie Curie Actions) of the European Union's Seventh Framework Programme (FP7/2007-2013) under REA Grant Agreement No. (291734). Laboratoire Kastler Brossel (LKB) is “Unité Mixte de Recherche de Sorbonne Université, de ENS-PSL Research University, du Collège de France et du CNRS No. 8552.” APPENDIX:\r\n" article_number: '022510' article_processing_charge: No article_type: original author: - first_name: Pedro full_name: Amaro, Pedro last_name: Amaro - first_name: Ulisses full_name: Loureiro, Ulisses last_name: Loureiro - first_name: Laleh full_name: Safari, Laleh id: 3C325E5E-F248-11E8-B48F-1D18A9856A87 last_name: Safari - first_name: Filippo full_name: Fratini, Filippo last_name: Fratini - first_name: Paul full_name: Indelicato, Paul last_name: Indelicato - first_name: Thomas full_name: Stöhlker, Thomas last_name: Stöhlker - first_name: José full_name: Santos, José last_name: Santos citation: ama: Amaro P, Loureiro U, Safari L, et al. Quantum interference in laser spectroscopy of highly charged lithiumlike ions. Physical Review A - Atomic, Molecular, and Optical Physics. 2018;97(2). doi:10.1103/PhysRevA.97.022510 apa: Amaro, P., Loureiro, U., Safari, L., Fratini, F., Indelicato, P., Stöhlker, T., & Santos, J. (2018). Quantum interference in laser spectroscopy of highly charged lithiumlike ions. Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society. https://doi.org/10.1103/PhysRevA.97.022510 chicago: Amaro, Pedro, Ulisses Loureiro, Laleh Safari, Filippo Fratini, Paul Indelicato, Thomas Stöhlker, and José Santos. “Quantum Interference in Laser Spectroscopy of Highly Charged Lithiumlike Ions.” Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society, 2018. https://doi.org/10.1103/PhysRevA.97.022510. ieee: P. Amaro et al., “Quantum interference in laser spectroscopy of highly charged lithiumlike ions,” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 97, no. 2. American Physical Society, 2018. ista: Amaro P, Loureiro U, Safari L, Fratini F, Indelicato P, Stöhlker T, Santos J. 2018. Quantum interference in laser spectroscopy of highly charged lithiumlike ions. Physical Review A - Atomic, Molecular, and Optical Physics. 97(2), 022510. mla: Amaro, Pedro, et al. “Quantum Interference in Laser Spectroscopy of Highly Charged Lithiumlike Ions.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 97, no. 2, 022510, American Physical Society, 2018, doi:10.1103/PhysRevA.97.022510. short: P. Amaro, U. Loureiro, L. Safari, F. Fratini, P. Indelicato, T. Stöhlker, J. Santos, Physical Review A - Atomic, Molecular, and Optical Physics 97 (2018). date_created: 2018-12-11T11:46:25Z date_published: 2018-02-21T00:00:00Z date_updated: 2023-09-15T12:09:35Z day: '21' department: - _id: MiLe doi: 10.1103/PhysRevA.97.022510 ec_funded: 1 external_id: arxiv: - '1802.07920' isi: - '000425601000004' intvolume: ' 97' isi: 1 issue: '2' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1802.07920 month: '02' oa: 1 oa_version: Preprint project: - _id: 25681D80-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '291734' name: International IST Postdoc Fellowship Programme publication: ' Physical Review A - Atomic, Molecular, and Optical Physics' publication_status: published publisher: American Physical Society publist_id: '7396' quality_controlled: '1' scopus_import: '1' status: public title: Quantum interference in laser spectroscopy of highly charged lithiumlike ions type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 97 year: '2018' ... --- _id: '309' abstract: - lang: eng text: 'We present an efficient algorithm for a problem in the interface between clustering and graph embeddings. An embedding '' : G ! M of a graph G into a 2manifold M maps the vertices in V (G) to distinct points and the edges in E(G) to interior-disjoint Jordan arcs between the corresponding vertices. In applications in clustering, cartography, and visualization, nearby vertices and edges are often bundled to a common node or arc, due to data compression or low resolution. This raises the computational problem of deciding whether a given map '' : G ! M comes from an embedding. A map '' : G ! M is a weak embedding if it can be perturbed into an embedding ψ: G ! M with k'' "k < " for every " > 0. A polynomial-time algorithm for recognizing weak embeddings was recently found by Fulek and Kyncl [14], which reduces to solving a system of linear equations over Z2. It runs in O(n2!) O(n4:75) time, where 2:373 is the matrix multiplication exponent and n is the number of vertices and edges of G. We improve the running time to O(n log n). Our algorithm is also conceptually simpler than [14]: We perform a sequence of local operations that gradually "untangles" the image ''(G) into an embedding (G), or reports that '' is not a weak embedding. It generalizes a recent technique developed for the case that G is a cycle and the embedding is a simple polygon [1], and combines local constraints on the orientation of subgraphs directly, thereby eliminating the need for solving large systems of linear equations.' acknowledgement: '∗Research supported in part by the NSF awards CCF-1422311 and CCF-1423615, and the Science Without Borders program. The second author gratefully acknowledges support from Austrian Science Fund (FWF): M2281-N35.' article_processing_charge: No author: - first_name: Hugo full_name: Akitaya, Hugo last_name: Akitaya - first_name: Radoslav full_name: Fulek, Radoslav id: 39F3FFE4-F248-11E8-B48F-1D18A9856A87 last_name: Fulek orcid: 0000-0001-8485-1774 - first_name: Csaba full_name: Tóth, Csaba last_name: Tóth citation: ama: 'Akitaya H, Fulek R, Tóth C. Recognizing weak embeddings of graphs. In: ACM; 2018:274-292. doi:10.1137/1.9781611975031.20' apa: 'Akitaya, H., Fulek, R., & Tóth, C. (2018). Recognizing weak embeddings of graphs (pp. 274–292). Presented at the SODA: Symposium on Discrete Algorithms, New Orleans, LA, USA: ACM. https://doi.org/10.1137/1.9781611975031.20' chicago: Akitaya, Hugo, Radoslav Fulek, and Csaba Tóth. “Recognizing Weak Embeddings of Graphs,” 274–92. ACM, 2018. https://doi.org/10.1137/1.9781611975031.20. ieee: 'H. Akitaya, R. Fulek, and C. Tóth, “Recognizing weak embeddings of graphs,” presented at the SODA: Symposium on Discrete Algorithms, New Orleans, LA, USA, 2018, pp. 274–292.' ista: 'Akitaya H, Fulek R, Tóth C. 2018. Recognizing weak embeddings of graphs. SODA: Symposium on Discrete Algorithms, 274–292.' mla: Akitaya, Hugo, et al. Recognizing Weak Embeddings of Graphs. ACM, 2018, pp. 274–92, doi:10.1137/1.9781611975031.20. short: H. Akitaya, R. Fulek, C. Tóth, in:, ACM, 2018, pp. 274–292. conference: end_date: 2018-01-10 location: New Orleans, LA, USA name: 'SODA: Symposium on Discrete Algorithms' start_date: 2018-01-07 date_created: 2018-12-11T11:45:45Z date_published: 2018-01-01T00:00:00Z date_updated: 2023-09-15T12:19:32Z day: '01' department: - _id: UlWa doi: 10.1137/1.9781611975031.20 external_id: arxiv: - '1709.09209' isi: - '000483921200021' isi: 1 language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1709.09209 month: '01' oa: 1 oa_version: Preprint page: 274 - 292 project: - _id: 261FA626-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: M02281 name: Eliminating intersections in drawings of graphs publication_status: published publisher: ACM publist_id: '7556' quality_controlled: '1' related_material: record: - id: '6982' relation: later_version status: public scopus_import: '1' status: public title: Recognizing weak embeddings of graphs type: conference user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 year: '2018' ... --- _id: '5794' abstract: - lang: eng text: We present an approach to interacting quantum many-body systems based on the notion of quantum groups, also known as q-deformed Lie algebras. In particular, we show that, if the symmetry of a free quantum particle corresponds to a Lie group G, in the presence of a many-body environment this particle can be described by a deformed group, Gq. Crucially, the single deformation parameter, q, contains all the information about the many-particle interactions in the system. We exemplify our approach by considering a quantum rotor interacting with a bath of bosons, and demonstrate that extracting the value of q from closed-form solutions in the perturbative regime allows one to predict the behavior of the system for arbitrary values of the impurity-bath coupling strength, in good agreement with nonperturbative calculations. Furthermore, the value of the deformation parameter allows one to predict at which coupling strengths rotor-bath interactions result in a formation of a stable quasiparticle. The approach based on quantum groups does not only allow for a drastic simplification of impurity problems, but also provides valuable insights into hidden symmetries of interacting many-particle systems. article_number: '255302' 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: Mikhail full_name: Shkolnikov, Mikhail id: 35084A62-F248-11E8-B48F-1D18A9856A87 last_name: Shkolnikov orcid: 0000-0002-4310-178X - 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, Shkolnikov M, Lemeshko M. Quantum groups as hidden symmetries of quantum impurities. Physical Review Letters. 2018;121(25). doi:10.1103/PhysRevLett.121.255302 apa: Yakaboylu, E., Shkolnikov, M., & Lemeshko, M. (2018). Quantum groups as hidden symmetries of quantum impurities. Physical Review Letters. American Physical Society. https://doi.org/10.1103/PhysRevLett.121.255302 chicago: Yakaboylu, Enderalp, Mikhail Shkolnikov, and Mikhail Lemeshko. “Quantum Groups as Hidden Symmetries of Quantum Impurities.” Physical Review Letters. American Physical Society, 2018. https://doi.org/10.1103/PhysRevLett.121.255302. ieee: E. Yakaboylu, M. Shkolnikov, and M. Lemeshko, “Quantum groups as hidden symmetries of quantum impurities,” Physical Review Letters, vol. 121, no. 25. American Physical Society, 2018. ista: Yakaboylu E, Shkolnikov M, Lemeshko M. 2018. Quantum groups as hidden symmetries of quantum impurities. Physical Review Letters. 121(25), 255302. mla: Yakaboylu, Enderalp, et al. “Quantum Groups as Hidden Symmetries of Quantum Impurities.” Physical Review Letters, vol. 121, no. 25, 255302, American Physical Society, 2018, doi:10.1103/PhysRevLett.121.255302. short: E. Yakaboylu, M. Shkolnikov, M. Lemeshko, Physical Review Letters 121 (2018). date_created: 2019-01-06T22:59:12Z date_published: 2018-12-17T00:00:00Z date_updated: 2023-09-15T12:09:06Z day: '17' department: - _id: MiLe doi: 10.1103/PhysRevLett.121.255302 ec_funded: 1 external_id: arxiv: - '1809.00222' isi: - '000454178600009' intvolume: ' 121' isi: 1 issue: '25' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1809.00222 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: 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: - '00319007' publication_status: published publisher: American Physical Society quality_controlled: '1' scopus_import: '1' status: public title: Quantum groups as hidden symmetries of quantum impurities type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 121 year: '2018' ... --- _id: '87' abstract: - lang: eng text: Using the geodesic distance on the n-dimensional sphere, we study the expected radius function of the Delaunay mosaic of a random set of points. Specifically, we consider the partition of the mosaic into intervals of the radius function and determine the expected number of intervals whose radii are less than or equal to a given threshold. We find that the expectations are essentially the same as for the Poisson–Delaunay mosaic in n-dimensional Euclidean space. Assuming the points are not contained in a hemisphere, the Delaunay mosaic is isomorphic to the boundary complex of the convex hull in Rn+1, so we also get the expected number of faces of a random inscribed polytope. As proved in Antonelli et al. [Adv. in Appl. Probab. 9–12 (1977–1980)], an orthant section of the n-sphere is isometric to the standard n-simplex equipped with the Fisher information metric. It follows that the latter space has similar stochastic properties as the n-dimensional Euclidean space. Our results are therefore relevant in information geometry and in population genetics. article_processing_charge: No article_type: original author: - first_name: Herbert full_name: Edelsbrunner, Herbert id: 3FB178DA-F248-11E8-B48F-1D18A9856A87 last_name: Edelsbrunner orcid: 0000-0002-9823-6833 - first_name: Anton full_name: Nikitenko, Anton id: 3E4FF1BA-F248-11E8-B48F-1D18A9856A87 last_name: Nikitenko orcid: 0000-0002-0659-3201 citation: ama: Edelsbrunner H, Nikitenko A. Random inscribed polytopes have similar radius functions as Poisson-Delaunay mosaics. Annals of Applied Probability. 2018;28(5):3215-3238. doi:10.1214/18-AAP1389 apa: Edelsbrunner, H., & Nikitenko, A. (2018). Random inscribed polytopes have similar radius functions as Poisson-Delaunay mosaics. Annals of Applied Probability. Institute of Mathematical Statistics. https://doi.org/10.1214/18-AAP1389 chicago: Edelsbrunner, Herbert, and Anton Nikitenko. “Random Inscribed Polytopes Have Similar Radius Functions as Poisson-Delaunay Mosaics.” Annals of Applied Probability. Institute of Mathematical Statistics, 2018. https://doi.org/10.1214/18-AAP1389. ieee: H. Edelsbrunner and A. Nikitenko, “Random inscribed polytopes have similar radius functions as Poisson-Delaunay mosaics,” Annals of Applied Probability, vol. 28, no. 5. Institute of Mathematical Statistics, pp. 3215–3238, 2018. ista: Edelsbrunner H, Nikitenko A. 2018. Random inscribed polytopes have similar radius functions as Poisson-Delaunay mosaics. Annals of Applied Probability. 28(5), 3215–3238. mla: Edelsbrunner, Herbert, and Anton Nikitenko. “Random Inscribed Polytopes Have Similar Radius Functions as Poisson-Delaunay Mosaics.” Annals of Applied Probability, vol. 28, no. 5, Institute of Mathematical Statistics, 2018, pp. 3215–38, doi:10.1214/18-AAP1389. short: H. Edelsbrunner, A. Nikitenko, Annals of Applied Probability 28 (2018) 3215–3238. date_created: 2018-12-11T11:44:33Z date_published: 2018-10-01T00:00:00Z date_updated: 2023-09-15T12:10:35Z day: '01' department: - _id: HeEd doi: 10.1214/18-AAP1389 external_id: arxiv: - '1705.02870' isi: - '000442893500018' intvolume: ' 28' isi: 1 issue: '5' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1705.02870 month: '10' oa: 1 oa_version: Preprint page: 3215 - 3238 project: - _id: 2561EBF4-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: I02979-N35 name: Persistence and stability of geometric complexes publication: Annals of Applied Probability publication_status: published publisher: Institute of Mathematical Statistics publist_id: '7967' quality_controlled: '1' related_material: record: - id: '6287' relation: dissertation_contains status: public scopus_import: '1' status: public title: Random inscribed polytopes have similar radius functions as Poisson-Delaunay mosaics type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 28 year: '2018' ... --- _id: '192' abstract: - lang: eng text: The phytohormone auxin is the information carrier in a plethora of developmental and physiological processes in plants(1). It has been firmly established that canonical, nuclear auxin signalling acts through regulation of gene transcription(2). Here, we combined microfluidics, live imaging, genetic engineering and computational modelling to reanalyse the classical case of root growth inhibition(3) by auxin. We show that Arabidopsis roots react to addition and removal of auxin by extremely rapid adaptation of growth rate. This process requires intracellular auxin perception but not transcriptional reprogramming. The formation of the canonical TIR1/AFB-Aux/IAA co-receptor complex is required for the growth regulation, hinting to a novel, non-transcriptional branch of this signalling pathway. Our results challenge the current understanding of root growth regulation by auxin and suggest another, presumably non-transcriptional, signalling output of the canonical auxin pathway. article_processing_charge: No article_type: original author: - first_name: Matyas full_name: Fendrych, Matyas id: 43905548-F248-11E8-B48F-1D18A9856A87 last_name: Fendrych orcid: 0000-0002-9767-8699 - first_name: Maria full_name: Akhmanova, Maria id: 3425EC26-F248-11E8-B48F-1D18A9856A87 last_name: Akhmanova orcid: 0000-0003-1522-3162 - first_name: Jack full_name: Merrin, Jack id: 4515C308-F248-11E8-B48F-1D18A9856A87 last_name: Merrin orcid: 0000-0001-5145-4609 - first_name: Matous full_name: Glanc, Matous last_name: Glanc - first_name: Shinya full_name: Hagihara, Shinya last_name: Hagihara - first_name: Koji full_name: Takahashi, Koji last_name: Takahashi - first_name: Naoyuki full_name: Uchida, Naoyuki last_name: Uchida - first_name: Keiko U full_name: Torii, Keiko U last_name: Torii - first_name: Jirí full_name: Friml, Jirí id: 4159519E-F248-11E8-B48F-1D18A9856A87 last_name: Friml orcid: 0000-0002-8302-7596 citation: ama: Fendrych M, Akhmanova M, Merrin J, et al. Rapid and reversible root growth inhibition by TIR1 auxin signalling. Nature Plants. 2018;4(7):453-459. doi:10.1038/s41477-018-0190-1 apa: Fendrych, M., Akhmanova, M., Merrin, J., Glanc, M., Hagihara, S., Takahashi, K., … Friml, J. (2018). Rapid and reversible root growth inhibition by TIR1 auxin signalling. Nature Plants. Springer Nature. https://doi.org/10.1038/s41477-018-0190-1 chicago: Fendrych, Matyas, Maria Akhmanova, Jack Merrin, Matous Glanc, Shinya Hagihara, Koji Takahashi, Naoyuki Uchida, Keiko U Torii, and Jiří Friml. “Rapid and Reversible Root Growth Inhibition by TIR1 Auxin Signalling.” Nature Plants. Springer Nature, 2018. https://doi.org/10.1038/s41477-018-0190-1. ieee: M. Fendrych et al., “Rapid and reversible root growth inhibition by TIR1 auxin signalling,” Nature Plants, vol. 4, no. 7. Springer Nature, pp. 453–459, 2018. ista: Fendrych M, Akhmanova M, Merrin J, Glanc M, Hagihara S, Takahashi K, Uchida N, Torii KU, Friml J. 2018. Rapid and reversible root growth inhibition by TIR1 auxin signalling. Nature Plants. 4(7), 453–459. mla: Fendrych, Matyas, et al. “Rapid and Reversible Root Growth Inhibition by TIR1 Auxin Signalling.” Nature Plants, vol. 4, no. 7, Springer Nature, 2018, pp. 453–59, doi:10.1038/s41477-018-0190-1. short: M. Fendrych, M. Akhmanova, J. Merrin, M. Glanc, S. Hagihara, K. Takahashi, N. Uchida, K.U. Torii, J. Friml, Nature Plants 4 (2018) 453–459. date_created: 2018-12-11T11:45:07Z date_published: 2018-06-25T00:00:00Z date_updated: 2023-09-15T12:11:03Z day: '25' department: - _id: JiFr - _id: DaSi - _id: NanoFab doi: 10.1038/s41477-018-0190-1 external_id: isi: - '000443221200017' pmid: - '29942048' intvolume: ' 4' isi: 1 issue: '7' language: - iso: eng main_file_link: - open_access: '1' url: https://www.ncbi.nlm.nih.gov/pubmed/29942048 month: '06' oa: 1 oa_version: Submitted Version page: 453 - 459 pmid: 1 publication: Nature Plants publication_status: published publisher: Springer Nature publist_id: '7728' quality_controlled: '1' related_material: link: - description: News on IST Homepage relation: press_release url: https://ist.ac.at/en/news/new-mechanism-for-the-plant-hormone-auxin-discovered/ scopus_import: '1' status: public title: Rapid and reversible root growth inhibition by TIR1 auxin signalling type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 4 year: '2018' ...