--- _id: '446' abstract: - lang: eng text: We prove that in Thomas–Fermi–Dirac–von Weizsäcker theory, a nucleus of charge Z > 0 can bind at most Z + C electrons, where C is a universal constant. This result is obtained through a comparison with Thomas-Fermi theory which, as a by-product, gives bounds on the screened nuclear potential and the radius of the minimizer. A key ingredient of the proof is a novel technique to control the particles in the exterior region, which also applies to the liquid drop model with a nuclear background potential. acknowledgement: "We thank the referee for helpful suggestions that improved the presentation of the paper. We also acknowledge partial support by National Science Foundation Grant DMS-1363432 (R.L.F.), Austrian Science Fund (FWF) Project Nr. P 27533-N27 (P.T.N.), CONICYT (Chile) through CONICYT–PCHA/ Doctorado Nacional/2014, and Iniciativa Científica Milenio (Chile) through Millenium Nucleus RC–120002 “Física Matemática” (H.V.D.B.).\r\n" article_processing_charge: No article_type: original author: - first_name: Rupert full_name: Frank, Rupert last_name: Frank - first_name: Nam full_name: Phan Thanh, Nam id: 404092F4-F248-11E8-B48F-1D18A9856A87 last_name: Phan Thanh - first_name: Hanne full_name: Van Den Bosch, Hanne last_name: Van Den Bosch citation: ama: Frank R, Nam P, Van Den Bosch H. The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory. Communications on Pure and Applied Mathematics. 2018;71(3):577-614. doi:10.1002/cpa.21717 apa: Frank, R., Nam, P., & Van Den Bosch, H. (2018). The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory. Communications on Pure and Applied Mathematics. Wiley-Blackwell. https://doi.org/10.1002/cpa.21717 chicago: Frank, Rupert, Phan Nam, and Hanne Van Den Bosch. “The Ionization Conjecture in Thomas–Fermi–Dirac–von Weizsäcker Theory.” Communications on Pure and Applied Mathematics. Wiley-Blackwell, 2018. https://doi.org/10.1002/cpa.21717. ieee: R. Frank, P. Nam, and H. Van Den Bosch, “The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory,” Communications on Pure and Applied Mathematics, vol. 71, no. 3. Wiley-Blackwell, pp. 577–614, 2018. ista: Frank R, Nam P, Van Den Bosch H. 2018. The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory. Communications on Pure and Applied Mathematics. 71(3), 577–614. mla: Frank, Rupert, et al. “The Ionization Conjecture in Thomas–Fermi–Dirac–von Weizsäcker Theory.” Communications on Pure and Applied Mathematics, vol. 71, no. 3, Wiley-Blackwell, 2018, pp. 577–614, doi:10.1002/cpa.21717. short: R. Frank, P. Nam, H. Van Den Bosch, Communications on Pure and Applied Mathematics 71 (2018) 577–614. date_created: 2018-12-11T11:46:31Z date_published: 2018-03-01T00:00:00Z date_updated: 2023-09-19T10:09:40Z day: '01' department: - _id: RoSe doi: 10.1002/cpa.21717 external_id: arxiv: - '1606.07355' isi: - '000422675800004' intvolume: ' 71' isi: 1 issue: '3' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1606.07355 month: '03' oa: 1 oa_version: Preprint page: 577 - 614 publication: Communications on Pure and Applied Mathematics publication_status: published publisher: Wiley-Blackwell publist_id: '7377' quality_controlled: '1' status: public title: The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 71 year: '2018' ... --- _id: '430' abstract: - lang: eng text: In this issue of GENETICS, a new method for detecting natural selection on polygenic traits is developed and applied to sev- eral human examples ( Racimo et al. 2018 ). By de fi nition, many loci contribute to variation in polygenic traits, and a challenge for evolutionary ge neticists has been that these traits can evolve by small, nearly undetectable shifts in allele frequencies across each of many, typically unknown, loci. Recently, a helpful remedy has arisen. Genome-wide associ- ation studies (GWAS) have been illuminating sets of loci that can be interrogated jointly for c hanges in allele frequencies. By aggregating small signal s of change across many such loci, directional natural selection is now in principle detect- able using genetic data, even for highly polygenic traits. This is an exciting arena of progress – with these methods, tests can be made for selection associated with traits, and we can now study selection in what may be its most prevalent mode. The continuing fast pace of GWAS publications suggest there will be many more polygenic tests of selection in the near future, as every new GWAS is an opportunity for an accom- panying test of polygenic selection. However, it is important to be aware of complications th at arise in interpretation, especially given that these studies may easily be misinter- preted both in and outside the evolutionary genetics commu- nity. Here, we provide context for understanding polygenic tests and urge caution regarding how these results are inter- preted and reported upon more broadly. article_processing_charge: No author: - first_name: John full_name: Novembre, John last_name: Novembre - first_name: Nicholas H full_name: Barton, Nicholas H id: 4880FE40-F248-11E8-B48F-1D18A9856A87 last_name: Barton orcid: 0000-0002-8548-5240 citation: ama: Novembre J, Barton NH. Tread lightly interpreting polygenic tests of selection. Genetics. 2018;208(4):1351-1355. doi:10.1534/genetics.118.300786 apa: Novembre, J., & Barton, N. H. (2018). Tread lightly interpreting polygenic tests of selection. Genetics. Genetics Society of America. https://doi.org/10.1534/genetics.118.300786 chicago: Novembre, John, and Nicholas H Barton. “Tread Lightly Interpreting Polygenic Tests of Selection.” Genetics. Genetics Society of America, 2018. https://doi.org/10.1534/genetics.118.300786. ieee: J. Novembre and N. H. Barton, “Tread lightly interpreting polygenic tests of selection,” Genetics, vol. 208, no. 4. Genetics Society of America, pp. 1351–1355, 2018. ista: Novembre J, Barton NH. 2018. Tread lightly interpreting polygenic tests of selection. Genetics. 208(4), 1351–1355. mla: Novembre, John, and Nicholas H. Barton. “Tread Lightly Interpreting Polygenic Tests of Selection.” Genetics, vol. 208, no. 4, Genetics Society of America, 2018, pp. 1351–55, doi:10.1534/genetics.118.300786. short: J. Novembre, N.H. Barton, Genetics 208 (2018) 1351–1355. date_created: 2018-12-11T11:46:26Z date_published: 2018-04-01T00:00:00Z date_updated: 2023-09-19T10:17:30Z day: '01' ddc: - '576' department: - _id: NiBa doi: 10.1534/genetics.118.300786 external_id: isi: - '000429094400005' file: - access_level: open_access checksum: 3d838dc285df394376555b794b6a5ad1 content_type: application/pdf creator: system date_created: 2018-12-12T10:12:40Z date_updated: 2020-07-14T12:46:26Z file_id: '4958' file_name: IST-2018-1012-v1+1_2018_Barton_Tread.pdf file_size: 500129 relation: main_file file_date_updated: 2020-07-14T12:46:26Z has_accepted_license: '1' intvolume: ' 208' isi: 1 issue: '4' language: - iso: eng month: '04' oa: 1 oa_version: Published Version page: 1351 - 1355 publication: Genetics publication_status: published publisher: Genetics Society of America publist_id: '7393' pubrep_id: '1012' quality_controlled: '1' scopus_import: '1' status: public title: Tread lightly interpreting polygenic tests of selection 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: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 208 year: '2018' ... --- _id: '199' abstract: - lang: eng text: Sex-biased genes are central to the study of sexual selection, sexual antagonism, and sex chromosome evolution. We describe a comprehensive de novo assembled transcriptome in the common frog Rana temporaria based on five developmental stages and three adult tissues from both sexes, obtained from a population with karyotypically homomorphic but genetically differentiated sex chromosomes. This allows the study of sex-biased gene expression throughout development, and its effect on the rate of gene evolution while accounting for pleiotropic expression, which is known to negatively correlate with the evolutionary rate. Overall, sex-biased genes had little overlap among developmental stages and adult tissues. Late developmental stages and gonad tissues had the highest numbers of stage-or tissue-specific genes. We find that pleiotropic gene expression is a better predictor than sex bias for the evolutionary rate of genes, though it often interacts with sex bias. Although genetically differentiated, the sex chromosomes were not enriched in sex-biased genes, possibly due to a very recent arrest of XY recombination. These results extend our understanding of the developmental dynamics, tissue specificity, and genomic localization of sex-biased genes. article_number: '294' article_processing_charge: No author: - first_name: Wen full_name: Ma, Wen last_name: Ma - first_name: Paris full_name: Veltsos, Paris last_name: Veltsos - first_name: Melissa A full_name: Toups, Melissa A id: 4E099E4E-F248-11E8-B48F-1D18A9856A87 last_name: Toups orcid: 0000-0002-9752-7380 - first_name: Nicolas full_name: Rodrigues, Nicolas last_name: Rodrigues - first_name: Roberto full_name: Sermier, Roberto last_name: Sermier - first_name: Daniel full_name: Jeffries, Daniel last_name: Jeffries - first_name: Nicolas full_name: Perrin, Nicolas last_name: Perrin citation: ama: Ma W, Veltsos P, Toups MA, et al. Tissue specificity and dynamics of sex biased gene expression in a common frog population with differentiated, yet homomorphic, sex chromosomes. Genes. 2018;9(6). doi:10.3390/genes9060294 apa: Ma, W., Veltsos, P., Toups, M. A., Rodrigues, N., Sermier, R., Jeffries, D., & Perrin, N. (2018). Tissue specificity and dynamics of sex biased gene expression in a common frog population with differentiated, yet homomorphic, sex chromosomes. Genes. MDPI AG. https://doi.org/10.3390/genes9060294 chicago: Ma, Wen, Paris Veltsos, Melissa A Toups, Nicolas Rodrigues, Roberto Sermier, Daniel Jeffries, and Nicolas Perrin. “Tissue Specificity and Dynamics of Sex Biased Gene Expression in a Common Frog Population with Differentiated, yet Homomorphic, Sex Chromosomes.” Genes. MDPI AG, 2018. https://doi.org/10.3390/genes9060294. ieee: W. Ma et al., “Tissue specificity and dynamics of sex biased gene expression in a common frog population with differentiated, yet homomorphic, sex chromosomes,” Genes, vol. 9, no. 6. MDPI AG, 2018. ista: Ma W, Veltsos P, Toups MA, Rodrigues N, Sermier R, Jeffries D, Perrin N. 2018. Tissue specificity and dynamics of sex biased gene expression in a common frog population with differentiated, yet homomorphic, sex chromosomes. Genes. 9(6), 294. mla: Ma, Wen, et al. “Tissue Specificity and Dynamics of Sex Biased Gene Expression in a Common Frog Population with Differentiated, yet Homomorphic, Sex Chromosomes.” Genes, vol. 9, no. 6, 294, MDPI AG, 2018, doi:10.3390/genes9060294. short: W. Ma, P. Veltsos, M.A. Toups, N. Rodrigues, R. Sermier, D. Jeffries, N. Perrin, Genes 9 (2018). date_created: 2018-12-11T11:45:09Z date_published: 2018-06-12T00:00:00Z date_updated: 2023-09-19T10:15:31Z day: '12' ddc: - '570' department: - _id: BeVi doi: 10.3390/genes9060294 external_id: isi: - '000436494200026' file: - access_level: open_access checksum: 423069beb1cd3cdd25bf3f464b38f1d7 content_type: application/pdf creator: dernst date_created: 2019-02-01T07:52:28Z date_updated: 2020-07-14T12:45:22Z file_id: '5905' file_name: 2018_Genes_Ma.pdf file_size: 3985796 relation: main_file file_date_updated: 2020-07-14T12:45:22Z has_accepted_license: '1' intvolume: ' 9' isi: 1 issue: '6' language: - iso: eng month: '06' oa: 1 oa_version: Published Version publication: Genes publication_status: published publisher: MDPI AG publist_id: '7714' quality_controlled: '1' scopus_import: '1' status: public title: Tissue specificity and dynamics of sex biased gene expression in a common frog population with differentiated, yet homomorphic, sex chromosomes 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: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 9 year: '2018' ... --- _id: '543' abstract: - lang: eng text: A central goal in theoretical neuroscience is to predict the response properties of sensory neurons from first principles. To this end, “efficient coding” posits that sensory neurons encode maximal information about their inputs given internal constraints. There exist, however, many variants of efficient coding (e.g., redundancy reduction, different formulations of predictive coding, robust coding, sparse coding, etc.), differing in their regimes of applicability, in the relevance of signals to be encoded, and in the choice of constraints. It is unclear how these types of efficient coding relate or what is expected when different coding objectives are combined. Here we present a unified framework that encompasses previously proposed efficient coding models and extends to unique regimes. We show that optimizing neural responses to encode predictive information can lead them to either correlate or decorrelate their inputs, depending on the stimulus statistics; in contrast, at low noise, efficiently encoding the past always predicts decorrelation. Later, we investigate coding of naturalistic movies and show that qualitatively different types of visual motion tuning and levels of response sparsity are predicted, depending on whether the objective is to recover the past or predict the future. Our approach promises a way to explain the observed diversity of sensory neural responses, as due to multiple functional goals and constraints fulfilled by different cell types and/or circuits. article_processing_charge: No author: - first_name: Matthew J full_name: Chalk, Matthew J id: 2BAAC544-F248-11E8-B48F-1D18A9856A87 last_name: Chalk orcid: 0000-0001-7782-4436 - first_name: Olivier full_name: Marre, Olivier last_name: Marre - first_name: Gasper full_name: Tkacik, Gasper id: 3D494DCA-F248-11E8-B48F-1D18A9856A87 last_name: Tkacik orcid: 0000-0002-6699-1455 citation: ama: Chalk MJ, Marre O, Tkačik G. Toward a unified theory of efficient, predictive, and sparse coding. PNAS. 2018;115(1):186-191. doi:10.1073/pnas.1711114115 apa: Chalk, M. J., Marre, O., & Tkačik, G. (2018). Toward a unified theory of efficient, predictive, and sparse coding. PNAS. National Academy of Sciences. https://doi.org/10.1073/pnas.1711114115 chicago: Chalk, Matthew J, Olivier Marre, and Gašper Tkačik. “Toward a Unified Theory of Efficient, Predictive, and Sparse Coding.” PNAS. National Academy of Sciences, 2018. https://doi.org/10.1073/pnas.1711114115. ieee: M. J. Chalk, O. Marre, and G. Tkačik, “Toward a unified theory of efficient, predictive, and sparse coding,” PNAS, vol. 115, no. 1. National Academy of Sciences, pp. 186–191, 2018. ista: Chalk MJ, Marre O, Tkačik G. 2018. Toward a unified theory of efficient, predictive, and sparse coding. PNAS. 115(1), 186–191. mla: Chalk, Matthew J., et al. “Toward a Unified Theory of Efficient, Predictive, and Sparse Coding.” PNAS, vol. 115, no. 1, National Academy of Sciences, 2018, pp. 186–91, doi:10.1073/pnas.1711114115. short: M.J. Chalk, O. Marre, G. Tkačik, PNAS 115 (2018) 186–191. date_created: 2018-12-11T11:47:04Z date_published: 2018-01-02T00:00:00Z date_updated: 2023-09-19T10:16:35Z day: '02' department: - _id: GaTk doi: 10.1073/pnas.1711114115 external_id: isi: - '000419128700049' intvolume: ' 115' isi: 1 issue: '1' language: - iso: eng main_file_link: - open_access: '1' url: 'https://doi.org/10.1101/152660 ' month: '01' oa: 1 oa_version: Submitted Version page: 186 - 191 project: - _id: 254D1A94-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P 25651-N26 name: Sensitivity to higher-order statistics in natural scenes publication: PNAS publication_status: published publisher: National Academy of Sciences publist_id: '7273' quality_controlled: '1' scopus_import: '1' status: public title: Toward a unified theory of efficient, predictive, and sparse coding type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 115 year: '2018' ... --- _id: '421' abstract: - lang: eng text: Cell shape is determined by a balance of intrinsic properties of the cell as well as its mechanochemical environment. Inhomogeneous shape changes underlie many morphogenetic events and involve spatial gradients in active cellular forces induced by complex chemical signaling. Here, we introduce a mechanochemical model based on the notion that cell shape changes may be induced by external diffusible biomolecules that influence cellular contractility (or equivalently, adhesions) in a concentration-dependent manner—and whose spatial profile in turn is affected by cell shape. We map out theoretically the possible interplay between chemical concentration and cellular structure. Besides providing a direct route to spatial gradients in cell shape profiles in tissues, we show that the dependence on cell shape helps create robust mechanochemical gradients. article_processing_charge: No author: - first_name: Kinjal full_name: Dasbiswas, Kinjal last_name: Dasbiswas - first_name: Claude-Edouard B full_name: Hannezo, Claude-Edouard B id: 3A9DB764-F248-11E8-B48F-1D18A9856A87 last_name: Hannezo orcid: 0000-0001-6005-1561 - first_name: Nir full_name: Gov, Nir last_name: Gov citation: ama: Dasbiswas K, Hannezo EB, Gov N. Theory of eppithelial cell shape transitions induced by mechanoactive chemical gradients. Biophysical Journal. 2018;114(4):968-977. doi:10.1016/j.bpj.2017.12.022 apa: Dasbiswas, K., Hannezo, E. B., & Gov, N. (2018). Theory of eppithelial cell shape transitions induced by mechanoactive chemical gradients. Biophysical Journal. Biophysical Society. https://doi.org/10.1016/j.bpj.2017.12.022 chicago: Dasbiswas, Kinjal, Edouard B Hannezo, and Nir Gov. “Theory of Eppithelial Cell Shape Transitions Induced by Mechanoactive Chemical Gradients.” Biophysical Journal. Biophysical Society, 2018. https://doi.org/10.1016/j.bpj.2017.12.022. ieee: K. Dasbiswas, E. B. Hannezo, and N. Gov, “Theory of eppithelial cell shape transitions induced by mechanoactive chemical gradients,” Biophysical Journal, vol. 114, no. 4. Biophysical Society, pp. 968–977, 2018. ista: Dasbiswas K, Hannezo EB, Gov N. 2018. Theory of eppithelial cell shape transitions induced by mechanoactive chemical gradients. Biophysical Journal. 114(4), 968–977. mla: Dasbiswas, Kinjal, et al. “Theory of Eppithelial Cell Shape Transitions Induced by Mechanoactive Chemical Gradients.” Biophysical Journal, vol. 114, no. 4, Biophysical Society, 2018, pp. 968–77, doi:10.1016/j.bpj.2017.12.022. short: K. Dasbiswas, E.B. Hannezo, N. Gov, Biophysical Journal 114 (2018) 968–977. date_created: 2018-12-11T11:46:23Z date_published: 2018-02-27T00:00:00Z date_updated: 2023-09-19T10:13:55Z day: '27' department: - _id: EdHa doi: 10.1016/j.bpj.2017.12.022 external_id: arxiv: - '1709.01486' isi: - '000428016700021' intvolume: ' 114' isi: 1 issue: '4' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1709.01486 month: '02' oa: 1 oa_version: Submitted Version page: 968 - 977 publication: Biophysical Journal publication_status: published publisher: Biophysical Society publist_id: '7403' quality_controlled: '1' scopus_import: '1' status: public title: Theory of eppithelial cell shape transitions induced by mechanoactive chemical gradients type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 114 year: '2018' ... --- _id: '63' abstract: - lang: eng text: African cichlids display a remarkable assortment of jaw morphologies, pigmentation patterns, and mating behaviors. In addition to this previously documented diversity, recent studies have documented a rich diversity of sex chromosomes within these fishes. Here we review the known sex-determination network within vertebrates, and the extraordinary number of sex chromosomes systems segregating in African cichlids. We also propose a model for understanding the unusual number of sex chromosome systems within this clade. acknowledgement: NSF DEB-1830753 and ISTPlus Fellowship article_number: '480' article_processing_charge: No author: - first_name: William J full_name: Gammerdinger, William J id: 3A7E01BC-F248-11E8-B48F-1D18A9856A87 last_name: Gammerdinger orcid: 0000-0001-9638-1220 - first_name: Thomas full_name: Kocher, Thomas last_name: Kocher citation: ama: Gammerdinger WJ, Kocher T. Unusual diversity of sex chromosomes in African cichlid fishes. Genes. 2018;9(10). doi:10.3390/genes9100480 apa: Gammerdinger, W. J., & Kocher, T. (2018). Unusual diversity of sex chromosomes in African cichlid fishes. Genes. MDPI AG. https://doi.org/10.3390/genes9100480 chicago: Gammerdinger, William J, and Thomas Kocher. “Unusual Diversity of Sex Chromosomes in African Cichlid Fishes.” Genes. MDPI AG, 2018. https://doi.org/10.3390/genes9100480. ieee: W. J. Gammerdinger and T. Kocher, “Unusual diversity of sex chromosomes in African cichlid fishes,” Genes, vol. 9, no. 10. MDPI AG, 2018. ista: Gammerdinger WJ, Kocher T. 2018. Unusual diversity of sex chromosomes in African cichlid fishes. Genes. 9(10), 480. mla: Gammerdinger, William J., and Thomas Kocher. “Unusual Diversity of Sex Chromosomes in African Cichlid Fishes.” Genes, vol. 9, no. 10, 480, MDPI AG, 2018, doi:10.3390/genes9100480. short: W.J. Gammerdinger, T. Kocher, Genes 9 (2018). date_created: 2018-12-11T11:44:26Z date_published: 2018-10-04T00:00:00Z date_updated: 2023-09-19T10:37:03Z day: '04' ddc: - '570' department: - _id: BeVi doi: 10.3390/genes9100480 ec_funded: 1 external_id: isi: - '000448656700018' file: - access_level: open_access checksum: bec527692e2c9b56919c0429634ff337 content_type: application/pdf creator: dernst date_created: 2018-12-18T09:54:46Z date_updated: 2020-07-14T12:47:27Z file_id: '5743' file_name: 2018_Genes_Gammerdinger.pdf file_size: 1415791 relation: main_file file_date_updated: 2020-07-14T12:47:27Z has_accepted_license: '1' intvolume: ' 9' isi: 1 issue: '10' language: - iso: eng month: '10' 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 publication: Genes publication_status: published publisher: MDPI AG publist_id: '7991' quality_controlled: '1' scopus_import: '1' status: public title: Unusual diversity of sex chromosomes in African cichlid fishes 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: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 9 year: '2018' ... --- _id: '296' abstract: - lang: eng text: The thermodynamic description of many-particle systems rests on the assumption of ergodicity, the ability of a system to explore all allowed configurations in the phase space. Recent studies on many-body localization have revealed the existence of systems that strongly violate ergodicity in the presence of quenched disorder. Here, we demonstrate that ergodicity can be weakly broken by a different mechanism, arising from the presence of special eigenstates in the many-body spectrum that are reminiscent of quantum scars in chaotic non-interacting systems. In the single-particle case, quantum scars correspond to wavefunctions that concentrate in the vicinity of unstable periodic classical trajectories. We show that many-body scars appear in the Fibonacci chain, a model with a constrained local Hilbert space that has recently been experimentally realized in a Rydberg-atom quantum simulator. The quantum scarred eigenstates are embedded throughout the otherwise thermalizing many-body spectrum but lead to direct experimental signatures, as we show for periodic recurrences that reproduce those observed in the experiment. Our results suggest that scarred many-body bands give rise to a new universality class of quantum dynamics, opening up opportunities for the creation of novel states with long-lived coherence in systems that are now experimentally realizable. acknowledgement: C.J.T., A.M. and Z.P. acknowledge support from EPSRC grants EP/P009409/1 and EP/M50807X/1, and Royal Society Research Grant RG160635. D.A. acknowledges support from the Swiss National Science Foundation. article_processing_charge: No article_type: original author: - first_name: Christopher full_name: Turner, Christopher last_name: Turner - first_name: Alexios full_name: Michailidis, Alexios id: 36EBAD38-F248-11E8-B48F-1D18A9856A87 last_name: Michailidis orcid: 0000-0002-8443-1064 - first_name: Dmitry full_name: Abanin, Dmitry last_name: Abanin - first_name: Maksym full_name: Serbyn, Maksym id: 47809E7E-F248-11E8-B48F-1D18A9856A87 last_name: Serbyn orcid: 0000-0002-2399-5827 - first_name: Zlatko full_name: Papić, Zlatko last_name: Papić citation: ama: Turner C, Michailidis A, Abanin D, Serbyn M, Papić Z. Weak ergodicity breaking from quantum many-body scars. Nature Physics. 2018;14:745-749. doi:10.1038/s41567-018-0137-5 apa: Turner, C., Michailidis, A., Abanin, D., Serbyn, M., & Papić, Z. (2018). Weak ergodicity breaking from quantum many-body scars. Nature Physics. Nature Publishing Group. https://doi.org/10.1038/s41567-018-0137-5 chicago: Turner, Christopher, Alexios Michailidis, Dmitry Abanin, Maksym Serbyn, and Zlatko Papić. “Weak Ergodicity Breaking from Quantum Many-Body Scars.” Nature Physics. Nature Publishing Group, 2018. https://doi.org/10.1038/s41567-018-0137-5. ieee: C. Turner, A. Michailidis, D. Abanin, M. Serbyn, and Z. Papić, “Weak ergodicity breaking from quantum many-body scars,” Nature Physics, vol. 14. Nature Publishing Group, pp. 745–749, 2018. ista: Turner C, Michailidis A, Abanin D, Serbyn M, Papić Z. 2018. Weak ergodicity breaking from quantum many-body scars. Nature Physics. 14, 745–749. mla: Turner, Christopher, et al. “Weak Ergodicity Breaking from Quantum Many-Body Scars.” Nature Physics, vol. 14, Nature Publishing Group, 2018, pp. 745–49, doi:10.1038/s41567-018-0137-5. short: C. Turner, A. Michailidis, D. Abanin, M. Serbyn, Z. Papić, Nature Physics 14 (2018) 745–749. date_created: 2018-12-11T11:45:40Z date_published: 2018-05-14T00:00:00Z date_updated: 2023-09-19T10:37:55Z day: '14' department: - _id: MaSe doi: 10.1038/s41567-018-0137-5 external_id: isi: - '000438253600028' intvolume: ' 14' isi: 1 language: - iso: eng main_file_link: - open_access: '1' url: http://eprints.whiterose.ac.uk/130860/ month: '05' oa: 1 oa_version: Submitted Version page: 745 - 749 publication: Nature Physics publication_status: published publisher: Nature Publishing Group publist_id: '7585' quality_controlled: '1' scopus_import: '1' status: public title: Weak ergodicity breaking from quantum many-body scars type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 14 year: '2018' ... --- _id: '607' abstract: - lang: eng text: We study the Fokker-Planck equation derived in the large system limit of the Markovian process describing the dynamics of quantitative traits. The Fokker-Planck equation is posed on a bounded domain and its transport and diffusion coefficients vanish on the domain's boundary. We first argue that, despite this degeneracy, the standard no-flux boundary condition is valid. We derive the weak formulation of the problem and prove the existence and uniqueness of its solutions by constructing the corresponding contraction semigroup on a suitable function space. Then, we prove that for the parameter regime with high enough mutation rate the problem exhibits a positive spectral gap, which implies exponential convergence to equilibrium.Next, we provide a simple derivation of the so-called Dynamic Maximum Entropy (DynMaxEnt) method for approximation of observables (moments) of the Fokker-Planck solution, which can be interpreted as a nonlinear Galerkin approximation. The limited applicability of the DynMaxEnt method inspires us to introduce its modified version that is valid for the whole range of admissible parameters. Finally, we present several numerical experiments to demonstrate the performance of both the original and modified DynMaxEnt methods. We observe that in the parameter regimes where both methods are valid, the modified one exhibits slightly better approximation properties compared to the original one. acknowledgement: "JH and PM are funded by KAUST baseline funds and grant no. 1000000193 .\r\nWe thank Nicholas Barton (IST Austria) for his useful comments and suggestions. \r\n\r\n" article_processing_charge: No author: - first_name: Katarina full_name: Bodova, Katarina id: 2BA24EA0-F248-11E8-B48F-1D18A9856A87 last_name: Bodova orcid: 0000-0002-7214-0171 - first_name: Jan full_name: Haskovec, Jan last_name: Haskovec - first_name: Peter full_name: Markowich, Peter last_name: Markowich citation: ama: 'Bodova K, Haskovec J, Markowich P. Well posedness and maximum entropy approximation for the dynamics of quantitative traits. Physica D: Nonlinear Phenomena. 2018;376-377:108-120. doi:10.1016/j.physd.2017.10.015' apa: 'Bodova, K., Haskovec, J., & Markowich, P. (2018). Well posedness and maximum entropy approximation for the dynamics of quantitative traits. Physica D: Nonlinear Phenomena. Elsevier. https://doi.org/10.1016/j.physd.2017.10.015' chicago: 'Bodova, Katarina, Jan Haskovec, and Peter Markowich. “Well Posedness and Maximum Entropy Approximation for the Dynamics of Quantitative Traits.” Physica D: Nonlinear Phenomena. Elsevier, 2018. https://doi.org/10.1016/j.physd.2017.10.015.' ieee: 'K. Bodova, J. Haskovec, and P. Markowich, “Well posedness and maximum entropy approximation for the dynamics of quantitative traits,” Physica D: Nonlinear Phenomena, vol. 376–377. Elsevier, pp. 108–120, 2018.' ista: 'Bodova K, Haskovec J, Markowich P. 2018. Well posedness and maximum entropy approximation for the dynamics of quantitative traits. Physica D: Nonlinear Phenomena. 376–377, 108–120.' mla: 'Bodova, Katarina, et al. “Well Posedness and Maximum Entropy Approximation for the Dynamics of Quantitative Traits.” Physica D: Nonlinear Phenomena, vol. 376–377, Elsevier, 2018, pp. 108–20, doi:10.1016/j.physd.2017.10.015.' short: 'K. Bodova, J. Haskovec, P. Markowich, Physica D: Nonlinear Phenomena 376–377 (2018) 108–120.' date_created: 2018-12-11T11:47:28Z date_published: 2018-08-01T00:00:00Z date_updated: 2023-09-19T10:38:34Z day: '01' department: - _id: NiBa - _id: GaTk doi: 10.1016/j.physd.2017.10.015 external_id: arxiv: - '1704.08757' isi: - '000437962900012' isi: 1 language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1704.08757 month: '08' oa: 1 oa_version: Submitted Version page: 108-120 publication: 'Physica D: Nonlinear Phenomena' publication_status: published publisher: Elsevier publist_id: '7198' quality_controlled: '1' scopus_import: '1' status: public title: Well posedness and maximum entropy approximation for the dynamics of quantitative traits type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 376-377 year: '2018' ... --- _id: '294' abstract: - lang: eng text: We developed a method to calculate two-photon processes in quantum mechanics that replaces the infinite summation over the intermediate states by a perturbation expansion. This latter consists of a series of commutators that involve position, momentum, and Hamiltonian quantum operators. We analyzed several single- and many-particle cases for which a closed-form solution to the perturbation expansion exists, as well as more complicated cases for which a solution is found by convergence. Throughout the article, Rayleigh and Raman scattering are taken as examples of two-photon processes. The present method provides a clear distinction between the Thomson scattering, regarded as classical scattering, and quantum contributions. Such a distinction lets us derive general results concerning light scattering. Finally, possible extensions to the developed formalism are discussed. article_processing_charge: No author: - first_name: Filippo full_name: Fratini, Filippo last_name: Fratini - first_name: Laleh full_name: Safari, Laleh id: 3C325E5E-F248-11E8-B48F-1D18A9856A87 last_name: Safari - first_name: Pedro full_name: Amaro, Pedro last_name: Amaro - first_name: José full_name: Santos, José last_name: Santos citation: ama: Fratini F, Safari L, Amaro P, Santos J. Two-photon processes based on quantum commutators. Physical Review A - Atomic, Molecular, and Optical Physics. 2018;97(4). doi:10.1103/PhysRevA.97.043842 apa: Fratini, F., Safari, L., Amaro, P., & Santos, J. (2018). Two-photon processes based on quantum commutators. Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society. https://doi.org/10.1103/PhysRevA.97.043842 chicago: Fratini, Filippo, Laleh Safari, Pedro Amaro, and José Santos. “Two-Photon Processes Based on Quantum Commutators.” Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society, 2018. https://doi.org/10.1103/PhysRevA.97.043842. ieee: F. Fratini, L. Safari, P. Amaro, and J. Santos, “Two-photon processes based on quantum commutators,” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 97, no. 4. American Physical Society, 2018. ista: Fratini F, Safari L, Amaro P, Santos J. 2018. Two-photon processes based on quantum commutators. Physical Review A - Atomic, Molecular, and Optical Physics. 97(4). mla: Fratini, Filippo, et al. “Two-Photon Processes Based on Quantum Commutators.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 97, no. 4, American Physical Society, 2018, doi:10.1103/PhysRevA.97.043842. short: F. Fratini, L. Safari, P. Amaro, J. Santos, Physical Review A - Atomic, Molecular, and Optical Physics 97 (2018). date_created: 2018-12-11T11:45:40Z date_published: 2018-04-18T00:00:00Z date_updated: 2023-09-19T10:17:56Z day: '18' department: - _id: MiLe doi: 10.1103/PhysRevA.97.043842 ec_funded: 1 external_id: arxiv: - '1801.06892' isi: - '000430296800008' intvolume: ' 97' isi: 1 issue: '4' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1801.06892 month: '04' oa: 1 oa_version: Submitted Version 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: '7587' quality_controlled: '1' scopus_import: '1' status: public title: Two-photon processes based on quantum commutators type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 97 year: '2018' ... --- _id: '606' abstract: - lang: eng text: We establish the existence of a global solution for a new family of fluid-like equations, which are obtained in certain regimes in as the mean-field evolution of the supercurrent density in a (2D section of a) type-II superconductor with pinning and with imposed electric current. We also consider general vortex-sheet initial data, and investigate the uniqueness and regularity properties of the solution. For some choice of parameters, the equation under investigation coincides with the so-called lake equation from 2D shallow water fluid dynamics, and our analysis then leads to a new existence result for rough initial data. acknowledgement: "The work of the author is supported by F.R.S.-FNRS ( Fonds de la Recherche Scientifique - FNRS ) through a Research Fellowship.\r\n\r\n" article_processing_charge: No author: - first_name: Mitia full_name: Duerinckx, Mitia last_name: Duerinckx - first_name: Julian L full_name: Fischer, Julian L id: 2C12A0B0-F248-11E8-B48F-1D18A9856A87 last_name: Fischer orcid: 0000-0002-0479-558X citation: ama: Duerinckx M, Fischer JL. Well-posedness for mean-field evolutions arising in superconductivity. Annales de l’Institut Henri Poincare (C) Non Linear Analysis. 2018;35(5):1267-1319. doi:10.1016/j.anihpc.2017.11.004 apa: Duerinckx, M., & Fischer, J. L. (2018). Well-posedness for mean-field evolutions arising in superconductivity. Annales de l’Institut Henri Poincare (C) Non Linear Analysis. Elsevier. https://doi.org/10.1016/j.anihpc.2017.11.004 chicago: Duerinckx, Mitia, and Julian L Fischer. “Well-Posedness for Mean-Field Evolutions Arising in Superconductivity.” Annales de l’Institut Henri Poincare (C) Non Linear Analysis. Elsevier, 2018. https://doi.org/10.1016/j.anihpc.2017.11.004. ieee: M. Duerinckx and J. L. Fischer, “Well-posedness for mean-field evolutions arising in superconductivity,” Annales de l’Institut Henri Poincare (C) Non Linear Analysis, vol. 35, no. 5. Elsevier, pp. 1267–1319, 2018. ista: Duerinckx M, Fischer JL. 2018. Well-posedness for mean-field evolutions arising in superconductivity. Annales de l’Institut Henri Poincare (C) Non Linear Analysis. 35(5), 1267–1319. mla: Duerinckx, Mitia, and Julian L. Fischer. “Well-Posedness for Mean-Field Evolutions Arising in Superconductivity.” Annales de l’Institut Henri Poincare (C) Non Linear Analysis, vol. 35, no. 5, Elsevier, 2018, pp. 1267–319, doi:10.1016/j.anihpc.2017.11.004. short: M. Duerinckx, J.L. Fischer, Annales de l’Institut Henri Poincare (C) Non Linear Analysis 35 (2018) 1267–1319. date_created: 2018-12-11T11:47:27Z date_published: 2018-08-01T00:00:00Z date_updated: 2023-09-19T10:39:09Z day: '01' department: - _id: JuFi doi: 10.1016/j.anihpc.2017.11.004 external_id: arxiv: - '1607.00268' isi: - '000437975500005' intvolume: ' 35' isi: 1 issue: '5' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1607.00268 month: '08' oa: 1 oa_version: Submitted Version page: 1267-1319 publication: Annales de l'Institut Henri Poincare (C) Non Linear Analysis publication_status: published publisher: Elsevier publist_id: '7199' quality_controlled: '1' scopus_import: '1' status: public title: Well-posedness for mean-field evolutions arising in superconductivity type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 35 year: '2018' ...