[{"type":"conference","abstract":[{"lang":"eng","text":"We present a summary of our recent rigorous derivation of the celebrated Ginzburg-Landau (GL) theory, starting from the microscopic Bardeen-Cooper-Schrieffer (BCS) model. Close to the critical temperature, GL arises as an effective theory on the macroscopic scale. The relevant scaling limit is semiclassical in nature, and semiclassical analysis, with minimal regularity assumptions, plays an important part in our proof. "}],"publist_id":"4610","extern":1,"_id":"2317","year":"2012","status":"public","title":"Microscopic derivation of the Ginzburg-Landau model","publication_status":"published","publisher":"World Scientific Publishing","author":[{"first_name":"Rupert","last_name":"Frank","full_name":"Frank, Rupert L"},{"last_name":"Hainzl","first_name":"Christian","full_name":"Hainzl, Christian"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer","full_name":"Robert Seiringer"},{"full_name":"Solovej, Jan P","first_name":"Jan","last_name":"Solovej"}],"date_created":"2018-12-11T11:56:57Z","date_updated":"2021-01-12T06:56:44Z","month":"08","day":"01","oa":1,"citation":{"chicago":"Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “Microscopic Derivation of the Ginzburg-Landau Model,” 575–83. World Scientific Publishing, 2012. https://doi.org/10.1142/9789814449243_0060.","short":"R. Frank, C. Hainzl, R. Seiringer, J. Solovej, in:, World Scientific Publishing, 2012, pp. 575–583.","mla":"Frank, Rupert, et al. Microscopic Derivation of the Ginzburg-Landau Model. World Scientific Publishing, 2012, pp. 575–83, doi:10.1142/9789814449243_0060.","ieee":"R. Frank, C. Hainzl, R. Seiringer, and J. Solovej, “Microscopic derivation of the Ginzburg-Landau model,” presented at the ICMP: International Congress on Mathematical Physics, 2012, pp. 575–583.","apa":"Frank, R., Hainzl, C., Seiringer, R., & Solovej, J. (2012). Microscopic derivation of the Ginzburg-Landau model (pp. 575–583). Presented at the ICMP: International Congress on Mathematical Physics, World Scientific Publishing. https://doi.org/10.1142/9789814449243_0060","ista":"Frank R, Hainzl C, Seiringer R, Solovej J. 2012. Microscopic derivation of the Ginzburg-Landau model. ICMP: International Congress on Mathematical Physics, 575–583.","ama":"Frank R, Hainzl C, Seiringer R, Solovej J. Microscopic derivation of the Ginzburg-Landau model. In: World Scientific Publishing; 2012:575-583. doi:10.1142/9789814449243_0060"},"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1209.1080"}],"quality_controlled":0,"page":"575 - 583","conference":{"name":"ICMP: International Congress on Mathematical Physics"},"doi":"10.1142/9789814449243_0060","date_published":"2012-08-01T00:00:00Z"},{"month":"08","day":"01","conference":{"name":"ICMP: International Congress on Mathematical Physics"},"doi":"10.1142/9789814449243_0045","date_published":"2012-08-01T00:00:00Z","quality_controlled":0,"page":"477 - 485","oa":1,"citation":{"chicago":"Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Ground State Properties of Multi-Polaron Systems,” 477–85. World Scientific Publishing, 2012. https://doi.org/10.1142/9789814449243_0045.","short":"R. Frank, É. Lieb, R. Seiringer, L. Thomas, in:, World Scientific Publishing, 2012, pp. 477–485.","mla":"Frank, Rupert, et al. Ground State Properties of Multi-Polaron Systems. World Scientific Publishing, 2012, pp. 477–85, doi:10.1142/9789814449243_0045.","ieee":"R. Frank, É. Lieb, R. Seiringer, and L. Thomas, “Ground state properties of multi-polaron systems,” presented at the ICMP: International Congress on Mathematical Physics, 2012, pp. 477–485.","apa":"Frank, R., Lieb, É., Seiringer, R., & Thomas, L. (2012). Ground state properties of multi-polaron systems (pp. 477–485). Presented at the ICMP: International Congress on Mathematical Physics, World Scientific Publishing. https://doi.org/10.1142/9789814449243_0045","ista":"Frank R, Lieb É, Seiringer R, Thomas L. 2012. Ground state properties of multi-polaron systems. ICMP: International Congress on Mathematical Physics, 477–485.","ama":"Frank R, Lieb É, Seiringer R, Thomas L. Ground state properties of multi-polaron systems. In: World Scientific Publishing; 2012:477-485. doi:10.1142/9789814449243_0045"},"main_file_link":[{"url":"http://arxiv.org/abs/1209.3717","open_access":"1"}],"extern":1,"abstract":[{"lang":"eng","text":"We summarize our recent results on the ground state energy of multi-polaron systems. In particular, we discuss stability and existence of the thermodynamic limit, and we discuss the absence of binding in the case of large Coulomb repulsion and the corresponding binding-unbinding transition. We also consider the Pekar-Tomasevich approximation to the ground state energy and we study radial symmetry of the ground state density. "}],"publist_id":"4611","type":"conference","date_updated":"2021-01-12T06:56:44Z","date_created":"2018-12-11T11:56:57Z","author":[{"full_name":"Frank, Rupert L","first_name":"Rupert","last_name":"Frank"},{"full_name":"Lieb, Élliott H","last_name":"Lieb","first_name":"Élliott"},{"last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer"},{"first_name":"Lawrence","last_name":"Thomas","full_name":"Thomas, Lawrence E"}],"publication_status":"published","status":"public","title":"Ground state properties of multi-polaron systems","publisher":"World Scientific Publishing","year":"2012","_id":"2316"},{"month":"01","day":"01","date_published":"2012-01-01T00:00:00Z","doi":"10.4007/annals.2012.175.1.8","quality_controlled":0,"page":"297 - 343","publication":"Annals of Mathematics","citation":{"ista":"De La Bretèche R, Browning TD, Peyre E. 2012. On Manin’s conjecture for a family of Châtelet surfaces. Annals of Mathematics. 175(1), 297–343.","apa":"De La Bretèche, R., Browning, T. D., & Peyre, E. (2012). On Manin’s conjecture for a family of Châtelet surfaces. Annals of Mathematics. Princeton University Press. https://doi.org/10.4007/annals.2012.175.1.8","ieee":"R. De La Bretèche, T. D. Browning, and E. Peyre, “On Manin’s conjecture for a family of Châtelet surfaces,” Annals of Mathematics, vol. 175, no. 1. Princeton University Press, pp. 297–343, 2012.","ama":"De La Bretèche R, Browning TD, Peyre E. On Manin’s conjecture for a family of Châtelet surfaces. Annals of Mathematics. 2012;175(1):297-343. doi:10.4007/annals.2012.175.1.8","chicago":"De La Bretèche, Régis, Timothy D Browning, and Emmanuel Peyre. “On Manin’s Conjecture for a Family of Châtelet Surfaces.” Annals of Mathematics. Princeton University Press, 2012. https://doi.org/10.4007/annals.2012.175.1.8.","mla":"De La Bretèche, Régis, et al. “On Manin’s Conjecture for a Family of Châtelet Surfaces.” Annals of Mathematics, vol. 175, no. 1, Princeton University Press, 2012, pp. 297–343, doi:10.4007/annals.2012.175.1.8.","short":"R. De La Bretèche, T.D. Browning, E. Peyre, Annals of Mathematics 175 (2012) 297–343."},"extern":1,"abstract":[{"lang":"eng","text":"The Manin conjecture is established for Châtelet surfaces over Q aris-ing as minimal proper smooth models of the surface Y 2 + Z 2 = f(X) in A 3 Q, where f ∈ Z[X] is a totally reducible polynomial of degree 3 without repeated roots. These surfaces do not satisfy weak approximation."}],"publist_id":"7667","issue":"1","type":"journal_article","date_updated":"2021-01-12T06:57:04Z","date_created":"2018-12-11T11:45:22Z","volume":175,"author":[{"first_name":"Régis","last_name":"De La Bretèche","full_name":"de la Bretèche, Régis"},{"id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177","first_name":"Timothy D","last_name":"Browning","full_name":"Timothy Browning"},{"first_name":"Emmanuel","last_name":"Peyre","full_name":"Peyre, Emmanuel"}],"status":"public","title":"On Manin's conjecture for a family of Châtelet surfaces","publication_status":"published","publisher":"Princeton University Press","intvolume":" 175","_id":"237","year":"2012","acknowledgement":"EP/E053262/1\tEngineering and Physical Sciences Research Council"},{"title":"Inhomogeneous quadratic congruences","publication_status":"published","status":"public","publisher":"Adam Mickiewicz University Press","intvolume":" 47","_id":"238","acknowledgement":"EP/E053262/1\tEngineering and Physical Sciences Research Council","year":"2012","date_created":"2018-12-11T11:45:22Z","date_updated":"2021-01-12T06:57:08Z","volume":47,"author":[{"full_name":"Baier, Stephan","last_name":"Baier","first_name":"Stephan"},{"id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177","first_name":"Timothy D","last_name":"Browning","full_name":"Timothy Browning"}],"type":"journal_article","extern":1,"abstract":[{"text":"For given positive integers a, b, q we investigate the density of solutions (x, y) ∈ Z2 to congruences ax + by2 ≡ 0 mod q.","lang":"eng"}],"issue":"2","publist_id":"7666","quality_controlled":0,"page":"267 - 286","publication":"Functiones et Approximatio, Commentarii Mathematici","citation":{"chicago":"Baier, Stephan, and Timothy D Browning. “Inhomogeneous Quadratic Congruences.” Functiones et Approximatio, Commentarii Mathematici. Adam Mickiewicz University Press, 2012. https://doi.org/10.7169/facm/2012.47.2.9.","mla":"Baier, Stephan, and Timothy D. Browning. “Inhomogeneous Quadratic Congruences.” Functiones et Approximatio, Commentarii Mathematici, vol. 47, no. 2, Adam Mickiewicz University Press, 2012, pp. 267–86, doi:10.7169/facm/2012.47.2.9.","short":"S. Baier, T.D. Browning, Functiones et Approximatio, Commentarii Mathematici 47 (2012) 267–286.","ista":"Baier S, Browning TD. 2012. Inhomogeneous quadratic congruences. Functiones et Approximatio, Commentarii Mathematici. 47(2), 267–286.","apa":"Baier, S., & Browning, T. D. (2012). Inhomogeneous quadratic congruences. Functiones et Approximatio, Commentarii Mathematici. Adam Mickiewicz University Press. https://doi.org/10.7169/facm/2012.47.2.9","ieee":"S. Baier and T. D. Browning, “Inhomogeneous quadratic congruences,” Functiones et Approximatio, Commentarii Mathematici, vol. 47, no. 2. Adam Mickiewicz University Press, pp. 267–286, 2012.","ama":"Baier S, Browning TD. Inhomogeneous quadratic congruences. Functiones et Approximatio, Commentarii Mathematici. 2012;47(2):267-286. doi:10.7169/facm/2012.47.2.9"},"doi":"10.7169/facm/2012.47.2.9","date_published":"2012-12-20T00:00:00Z","month":"12","day":"20"},{"date_published":"2012-01-01T00:00:00Z","doi":"10.1007/978-3-642-29511-9_2","publication":"Quantum Many Body Systems","citation":{"ista":"Seiringer R. 2012.Cold quantum gases and bose einstein condensation. In: Quantum Many Body Systems. Lecture Notes in Mathematics, vol. 2051, 55–92.","ieee":"R. Seiringer, “Cold quantum gases and bose einstein condensation,” in Quantum Many Body Systems, vol. 2051, V. Rivasseau, R. Seiringer, J. Solovej, and T. Spencer, Eds. Springer, 2012, pp. 55–92.","apa":"Seiringer, R. (2012). Cold quantum gases and bose einstein condensation. In V. Rivasseau, R. Seiringer, J. Solovej, & T. Spencer (Eds.), Quantum Many Body Systems (Vol. 2051, pp. 55–92). Springer. https://doi.org/10.1007/978-3-642-29511-9_2","ama":"Seiringer R. Cold quantum gases and bose einstein condensation. In: Rivasseau V, Seiringer R, Solovej J, Spencer T, eds. Quantum Many Body Systems. Vol 2051. Springer; 2012:55-92. doi:10.1007/978-3-642-29511-9_2","chicago":"Seiringer, Robert. “Cold Quantum Gases and Bose Einstein Condensation.” In Quantum Many Body Systems, edited by Vincent Rivasseau, Robert Seiringer, Jan Solovej, and Thomas Spencer, 2051:55–92. Springer, 2012. https://doi.org/10.1007/978-3-642-29511-9_2.","mla":"Seiringer, Robert. “Cold Quantum Gases and Bose Einstein Condensation.” Quantum Many Body Systems, edited by Vincent Rivasseau et al., vol. 2051, Springer, 2012, pp. 55–92, doi:10.1007/978-3-642-29511-9_2.","short":"R. Seiringer, in:, V. Rivasseau, R. Seiringer, J. Solovej, T. Spencer (Eds.), Quantum Many Body Systems, Springer, 2012, pp. 55–92."},"quality_controlled":0,"page":"55 - 92","day":"01","month":"01","author":[{"last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer"}],"date_created":"2018-12-11T11:57:26Z","date_updated":"2021-01-12T06:57:14Z","volume":2051,"_id":"2399","year":"2012","status":"public","publication_status":"published","title":"Cold quantum gases and bose einstein condensation","publisher":"Springer","editor":[{"full_name":"Rivasseau, Vincent","first_name":"Vincent","last_name":"Rivasseau"},{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert","full_name":"Robert Seiringer"},{"last_name":"Solovej","first_name":"Jan","full_name":"Solovej, Jan P"},{"last_name":"Spencer","first_name":"Thomas","full_name":"Spencer, Thomas"}],"intvolume":" 2051","abstract":[{"text":"Bose–Einstein condensation (BEC) in cold atomic gases was first achieved experimentally in 1995 [1, 6]. After initial failed attempts with spin-polarized atomic hydrogen, the first successful demonstrations of this phenomenon used gases of rubidium and sodium atoms, respectively. Since then there has been a surge of activity in this field, with ingenious experiments putting forth more and more astonishing results about the behavior of matter at very cold temperatures.\n","lang":"eng"}],"publist_id":"4526","extern":1,"type":"book_chapter","alternative_title":["Lecture Notes in Mathematics"]},{"day":"01","month":"01","date_published":"2012-01-01T00:00:00Z","doi":"10.1063/1.3670747","quality_controlled":0,"publication":"Journal of Mathematical Physics","citation":{"apa":"Freiji, A., Hainzl, C., & Seiringer, R. (2012). The gap equation for spin-polarized fermions. Journal of Mathematical Physics. American Institute of Physics. https://doi.org/10.1063/1.3670747","ieee":"A. Freiji, C. Hainzl, and R. Seiringer, “The gap equation for spin-polarized fermions,” Journal of Mathematical Physics, vol. 53, no. 1. American Institute of Physics, 2012.","ista":"Freiji A, Hainzl C, Seiringer R. 2012. The gap equation for spin-polarized fermions. Journal of Mathematical Physics. 53(1).","ama":"Freiji A, Hainzl C, Seiringer R. The gap equation for spin-polarized fermions. Journal of Mathematical Physics. 2012;53(1). doi:10.1063/1.3670747","chicago":"Freiji, Abraham, Christian Hainzl, and Robert Seiringer. “The Gap Equation for Spin-Polarized Fermions.” Journal of Mathematical Physics. American Institute of Physics, 2012. https://doi.org/10.1063/1.3670747.","short":"A. Freiji, C. Hainzl, R. Seiringer, Journal of Mathematical Physics 53 (2012).","mla":"Freiji, Abraham, et al. “The Gap Equation for Spin-Polarized Fermions.” Journal of Mathematical Physics, vol. 53, no. 1, American Institute of Physics, 2012, doi:10.1063/1.3670747."},"extern":1,"abstract":[{"text":"We study the BCS gap equation for a Fermi gas with unequal population of spin-up and spin-down states. For cosh (δ μ/T) ≤ 2, with T the temperature and δμ the chemical potential difference, the question of existence of non-trivial solutions can be reduced to spectral properties of a linear operator, similar to the unpolarized case studied previously in [Frank, R. L., Hainzl, C., Naboko, S., and Seiringer, R., J., Geom. Anal.17, 559-567 (2007)10.1007/BF02937429; Hainzl, C., Hamza, E., Seiringer, R., and Solovej, J. P., Commun., Math. Phys.281, 349-367 (2008)10.1007/s00220-008-0489-2; and Hainzl, C. and Seiringer, R., Phys. Rev. B77, 184517-110 435 (2008)]10.1103/PhysRevB.77.184517. For cosh (δ μ/T) > 2 the phase diagram is more complicated, however. We derive upper and lower bounds for the critical temperature, and study their behavior in the small coupling limit.","lang":"eng"}],"issue":"1","publist_id":"4532","type":"journal_article","date_updated":"2021-01-12T06:57:13Z","date_created":"2018-12-11T11:57:25Z","volume":53,"author":[{"full_name":"Freiji, Abraham","last_name":"Freiji","first_name":"Abraham"},{"first_name":"Christian","last_name":"Hainzl","full_name":"Hainzl, Christian"},{"full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer"}],"publication_status":"published","status":"public","title":"The gap equation for spin-polarized fermions","publisher":"American Institute of Physics","intvolume":" 53","_id":"2394","year":"2012"},{"month":"01","day":"01","doi":"10.1090/S0894-0347-2012-00735-8","date_published":"2012-01-01T00:00:00Z","page":"667 - 713","quality_controlled":0,"oa":1,"main_file_link":[{"url":"http://arxiv.org/abs/1102.4001","open_access":"1"}],"citation":{"chicago":"Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “Microscopic Derivation of Ginzburg-Landau Theory.” Journal of the American Mathematical Society. American Mathematical Society, 2012. https://doi.org/10.1090/S0894-0347-2012-00735-8.","short":"R. Frank, C. Hainzl, R. Seiringer, J. Solovej, Journal of the American Mathematical Society 25 (2012) 667–713.","mla":"Frank, Rupert, et al. “Microscopic Derivation of Ginzburg-Landau Theory.” Journal of the American Mathematical Society, vol. 25, no. 3, American Mathematical Society, 2012, pp. 667–713, doi:10.1090/S0894-0347-2012-00735-8.","ieee":"R. Frank, C. Hainzl, R. Seiringer, and J. Solovej, “Microscopic derivation of Ginzburg-Landau theory,” Journal of the American Mathematical Society, vol. 25, no. 3. American Mathematical Society, pp. 667–713, 2012.","apa":"Frank, R., Hainzl, C., Seiringer, R., & Solovej, J. (2012). Microscopic derivation of Ginzburg-Landau theory. Journal of the American Mathematical Society. American Mathematical Society. https://doi.org/10.1090/S0894-0347-2012-00735-8","ista":"Frank R, Hainzl C, Seiringer R, Solovej J. 2012. Microscopic derivation of Ginzburg-Landau theory. Journal of the American Mathematical Society. 25(3), 667–713.","ama":"Frank R, Hainzl C, Seiringer R, Solovej J. Microscopic derivation of Ginzburg-Landau theory. Journal of the American Mathematical Society. 2012;25(3):667-713. doi:10.1090/S0894-0347-2012-00735-8"},"publication":"Journal of the American Mathematical Society","extern":1,"issue":"3","publist_id":"4531","abstract":[{"lang":"eng","text":"We give the first rigorous derivation of the celebrated Ginzburg-Landau (GL) theory, starting from the microscopic Bardeen-Cooper-Schrieffer (BCS) model. Close to the critical temperature, GL arises as an effective theory on the macroscopic scale. The relevant scaling limit is semiclassical in nature, and semiclassical analysis, with minimal regularity assumptions, plays an important part in our proof. "}],"type":"journal_article","volume":25,"date_created":"2018-12-11T11:57:25Z","date_updated":"2021-01-12T06:57:13Z","author":[{"full_name":"Frank, Rupert L","first_name":"Rupert","last_name":"Frank"},{"full_name":"Hainzl, Christian","last_name":"Hainzl","first_name":"Christian"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer","full_name":"Robert Seiringer"},{"last_name":"Solovej","first_name":"Jan","full_name":"Solovej, Jan P"}],"intvolume":" 25","publisher":"American Mathematical Society","title":"Microscopic derivation of Ginzburg-Landau theory","publication_status":"published","status":"public","year":"2012","_id":"2395"},{"day":"01","month":"06","doi":"10.1007/s11005-012-0566-5","date_published":"2012-06-01T00:00:00Z","quality_controlled":0,"page":"237 - 243","publication":"Letters in Mathematical Physics","oa":1,"citation":{"ista":"Landon B, Seiringer R. 2012. The scattering length at positive temperature. Letters in Mathematical Physics. 100(3), 237–243.","apa":"Landon, B., & Seiringer, R. (2012). The scattering length at positive temperature. Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-012-0566-5","ieee":"B. Landon and R. Seiringer, “The scattering length at positive temperature,” Letters in Mathematical Physics, vol. 100, no. 3. Springer, pp. 237–243, 2012.","ama":"Landon B, Seiringer R. The scattering length at positive temperature. Letters in Mathematical Physics. 2012;100(3):237-243. doi:10.1007/s11005-012-0566-5","chicago":"Landon, Benjamin, and Robert Seiringer. “The Scattering Length at Positive Temperature.” Letters in Mathematical Physics. Springer, 2012. https://doi.org/10.1007/s11005-012-0566-5.","mla":"Landon, Benjamin, and Robert Seiringer. “The Scattering Length at Positive Temperature.” Letters in Mathematical Physics, vol. 100, no. 3, Springer, 2012, pp. 237–43, doi:10.1007/s11005-012-0566-5.","short":"B. Landon, R. Seiringer, Letters in Mathematical Physics 100 (2012) 237–243."},"main_file_link":[{"url":"http://arxiv.org/abs/1111.1683","open_access":"1"}],"extern":1,"abstract":[{"text":"A positive temperature analogue of the scattering length of a potential V can be defined via integrating the difference of the heat kernels of -Δ and, with Δ the Laplacian. An upper bound on this quantity is a crucial input in the derivation of a bound on the critical temperature of a dilute Bose gas (Seiringer and Ueltschi in Phys Rev B 80:014502, 2009). In (Seiringer and Ueltschi in Phys Rev B 80:014502, 2009), a bound was given in the case of finite range potentials and sufficiently low temperature. In this paper, we improve the bound and extend it to potentials of infinite range.","lang":"eng"}],"issue":"3","publist_id":"4529","type":"journal_article","date_created":"2018-12-11T11:57:25Z","date_updated":"2021-01-12T06:57:13Z","volume":100,"author":[{"full_name":"Landon, Benjamin","last_name":"Landon","first_name":"Benjamin"},{"full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer"}],"publication_status":"published","status":"public","title":"The scattering length at positive temperature","intvolume":" 100","publisher":"Springer","year":"2012","_id":"2396"},{"month":"07","day":"01","citation":{"ista":"Jakšić V, Ogata Y, Pillet C, Seiringer R. 2012. Quantum hypothesis testing and non-equilibrium statistical mechanics. Reviews in Mathematical Physics. 24(6).","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","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.","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","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.","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)."},"oa":1,"main_file_link":[{"url":"http://arxiv.org/abs/1109.3804","open_access":"1"}],"publication":"Reviews in Mathematical Physics","quality_controlled":0,"doi":"10.1142/S0129055X12300026","date_published":"2012-07-01T00:00:00Z","type":"review","issue":"6","publist_id":"4528","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."}],"extern":1,"year":"2012","_id":"2398","publisher":"World Scientific Publishing","intvolume":" 24","publication_status":"published","title":"Quantum hypothesis testing and non-equilibrium statistical mechanics","status":"public","author":[{"full_name":"Jakšić, Vojkan","last_name":"Jakšić","first_name":"Vojkan"},{"last_name":"Ogata","first_name":"Yoshiko","full_name":"Ogata, Yoshiko"},{"first_name":"Claude","last_name":"Pillet","full_name":"Pillet, Claude A"},{"full_name":"Robert Seiringer","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert"}],"volume":24,"date_updated":"2020-07-14T12:45:40Z","date_created":"2018-12-11T11:57:26Z"},{"type":"journal_article","extern":1,"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."}],"issue":"2","publist_id":"4530","title":"Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs","publication_status":"published","status":"public","publisher":"Springer","intvolume":" 100","year":"2012","_id":"2397","date_updated":"2021-01-12T06:57:14Z","date_created":"2018-12-11T11:57:25Z","volume":100,"author":[{"full_name":"Hainzl, Christian","last_name":"Hainzl","first_name":"Christian"},{"full_name":"Robert Seiringer","first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521"}],"month":"05","day":"01","quality_controlled":0,"page":"119 - 138","publication":"Letters in Mathematical Physics","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1105.1100"}],"oa":1,"citation":{"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.","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.","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.","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","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.","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"},"doi":"10.1007/s11005-011-0535-4","date_published":"2012-05-01T00:00:00Z"}]