Phan Thành Nam Bogoliubov excitation spectrum of Bose gases. (English) Zbl 07763407 Hujdurović, Ademir (ed.) et al., European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20–26, 2021. Berlin: European Mathematical Society (EMS). 585-605 (2023). MSC: 81V73 82B26 81V70 81Q05 81Q12 82D05 PDFBibTeX XMLCite \textit{Phan Thành Nam}, in: European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20--26, 2021. Berlin: European Mathematical Society (EMS). 585--605 (2023; Zbl 07763407) Full Text: DOI
Sorokanich, Stephen Beyond mean-field: condensate coupled with pair excitations. (English) Zbl 1520.82030 J. Math. Phys. 64, No. 8, Article ID 081904, 23 p. (2023). MSC: 82C10 81V73 35Q40 82C22 PDFBibTeX XMLCite \textit{S. Sorokanich}, J. Math. Phys. 64, No. 8, Article ID 081904, 23 p. (2023; Zbl 1520.82030) Full Text: DOI arXiv
Falconi, Marco; Leopold, Nikolai; Mitrouskas, David; Petrat, Sören Bogoliubov dynamics and higher-order corrections for the regularized Nelson model. (English) Zbl 1514.35372 Rev. Math. Phys. 35, No. 4, Article ID 2350006, 36 p. (2023). MSC: 35Q40 35Q55 81Q05 81T10 81V73 82C10 PDFBibTeX XMLCite \textit{M. Falconi} et al., Rev. Math. Phys. 35, No. 4, Article ID 2350006, 36 p. (2023; Zbl 1514.35372) Full Text: DOI arXiv
Chen, Thomas; Hott, Michael On the emergence of quantum Boltzmann fluctuation dynamics near a Bose-Einstein condensate. (English) Zbl 1512.35429 J. Stat. Phys. 190, No. 4, Paper No. 85, 123 p. (2023). MSC: 35Q20 35Q40 35Q82 82C10 82C40 82D05 81V73 81T28 PDFBibTeX XMLCite \textit{T. Chen} and \textit{M. Hott}, J. Stat. Phys. 190, No. 4, Paper No. 85, 123 p. (2023; Zbl 1512.35429) Full Text: DOI arXiv
Grillakis, Manoussos; Margetis, Dionisios; Sorokanich, Stephen Many-body excitations in trapped Bose gas: a non-Hermitian approach. (English) Zbl 1503.35195 Q. Appl. Math. 81, No. 1, 87-126 (2023). MSC: 35Q40 81V73 81Q12 47N20 82C10 35P99 PDFBibTeX XMLCite \textit{M. Grillakis} et al., Q. Appl. Math. 81, No. 1, 87--126 (2023; Zbl 1503.35195) Full Text: DOI arXiv
Boßmann, Lea Low-energy spectrum and dynamics of the weakly interacting Bose gas. (English) Zbl 1508.81978 J. Math. Phys. 63, No. 6, Article ID 061102, 19 p. (2022). MSC: 81V73 81V70 82C22 82C10 35Q40 PDFBibTeX XMLCite \textit{L. Boßmann}, J. Math. Phys. 63, No. 6, Article ID 061102, 19 p. (2022; Zbl 1508.81978) Full Text: DOI arXiv
Phan Thành Nam; Napiórkowski, Marcin; Ricaud, Julien; Triay, Arnaud Optimal rate of condensation for trapped bosons in the Gross-Pitaevskii regime. (English) Zbl 1513.81135 Anal. PDE 15, No. 6, 1585-1616 (2022). MSC: 81V70 81V73 PDFBibTeX XMLCite \textit{Phan Thành Nam} et al., Anal. PDE 15, No. 6, 1585--1616 (2022; Zbl 1513.81135) Full Text: DOI arXiv
Sigal, I. M. Differential equations of quantum mechanics. (English) Zbl 1504.35421 Q. Appl. Math. 80, No. 3, 451-480 (2022). Reviewer: Konstantin Merz (Braunschweig) MSC: 35Q40 35Q41 35Q55 35Q56 81Q99 81U24 81V10 82D55 81V73 81V74 PDFBibTeX XMLCite \textit{I. M. Sigal}, Q. Appl. Math. 80, No. 3, 451--480 (2022; Zbl 1504.35421) Full Text: DOI arXiv
Lampart, Jonas; Pickl, Peter Dynamics of a tracer particle interacting with excitations of a Bose-Einstein condensate. (English) Zbl 1496.82015 Ann. Henri Poincaré 23, No. 8, 2855-2876 (2022). MSC: 82C10 81V73 35Q41 26A33 PDFBibTeX XMLCite \textit{J. Lampart} and \textit{P. Pickl}, Ann. Henri Poincaré 23, No. 8, 2855--2876 (2022; Zbl 1496.82015) Full Text: DOI arXiv
Bach, Volker; Breteaux, Sebastien; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael The time-dependent Hartree-Fock-Bogoliubov equations for bosons. (English) Zbl 1511.35297 J. Evol. Equ. 22, No. 2, Paper No. 46, 43 p. (2022). Reviewer: Alessandro Selvitella (Fort Wayne) MSC: 35Q40 81V73 81V70 82C10 82D55 82D05 35P30 PDFBibTeX XMLCite \textit{V. Bach} et al., J. Evol. Equ. 22, No. 2, Paper No. 46, 43 p. (2022; Zbl 1511.35297) Full Text: DOI arXiv
Chong, Jacky J.; Zhao, Zehua Dynamical Hartree-Fock-Bogoliubov approximation of interacting bosons. (English) Zbl 1495.35159 Ann. Henri Poincaré 23, No. 2, 615-673 (2022). MSC: 35Q55 35Q40 81V70 82C10 82C22 81V73 35A01 35A02 PDFBibTeX XMLCite \textit{J. J. Chong} and \textit{Z. Zhao}, Ann. Henri Poincaré 23, No. 2, 615--673 (2022; Zbl 1495.35159) Full Text: DOI arXiv
Boßmann, Lea; Petrat, Sören; Pickl, Peter; Soffer, Avy Beyond Bogoliubov dynamics. (English) Zbl 1496.35332 Pure Appl. Anal. 3, No. 4, 677-726 (2021). Reviewer: Ágota Figula (Debrecen) MSC: 35Q40 35Q55 81Q05 82C10 81V70 35C20 35B20 PDFBibTeX XMLCite \textit{L. Boßmann} et al., Pure Appl. Anal. 3, No. 4, 677--726 (2021; Zbl 1496.35332) Full Text: DOI arXiv
Hott, Michael Convergence rate towards the fractional Hartree equation with singular potentials in higher Sobolev trace norms. (English) Zbl 1476.35214 Rev. Math. Phys. 33, No. 9, Article ID 2150029, 45 p. (2021). MSC: 35Q40 35Q41 81V70 PDFBibTeX XMLCite \textit{M. Hott}, Rev. Math. Phys. 33, No. 9, Article ID 2150029, 45 p. (2021; Zbl 1476.35214) Full Text: DOI arXiv
Schlein, Benjamin Bogoliubov theory for many-body quantum systems. (English) Zbl 1496.35335 Exner, Pavel (ed.) et al., Partial differential equations, spectral theory, and mathematical physics. The Ari Laptev anniversary volume. Berlin: European Mathematical Society (EMS). EMS Ser. Congr. Rep., 367-388 (2021). MSC: 35Q40 35Q55 35P05 47A75 81Q10 81V70 82B10 PDFBibTeX XMLCite \textit{B. Schlein}, in: Partial differential equations, spectral theory, and mathematical physics. The Ari Laptev anniversary volume. Berlin: European Mathematical Society (EMS). 367--388 (2021; Zbl 1496.35335) Full Text: DOI
Deuchert, Andreas; Seiringer, Robert Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons. (English) Zbl 1469.82018 J. Funct. Anal. 281, No. 6, Article ID 109096, 74 p. (2021). MSC: 82C10 82C26 82C22 81V73 PDFBibTeX XMLCite \textit{A. Deuchert} and \textit{R. Seiringer}, J. Funct. Anal. 281, No. 6, Article ID 109096, 74 p. (2021; Zbl 1469.82018) Full Text: DOI arXiv
Lewin, Mathieu; Phan Thành Nam; Rougerie, Nicolas Classical field theory limit of many-body quantum Gibbs states in 2D and 3D. (English) Zbl 1467.82008 Invent. Math. 224, No. 2, 315-444 (2021). MSC: 82B10 81V70 35Q55 PDFBibTeX XMLCite \textit{M. Lewin} et al., Invent. Math. 224, No. 2, 315--444 (2021; Zbl 1467.82008) Full Text: DOI arXiv Link
Mitrouskas, David A note on the Fröhlich dynamics in the strong coupling limit. (English) Zbl 1462.81083 Lett. Math. Phys. 111, No. 2, Paper No. 45, 24 p. (2021). MSC: 81Q05 81Q15 82D20 PDFBibTeX XMLCite \textit{D. Mitrouskas}, Lett. Math. Phys. 111, No. 2, Paper No. 45, 24 p. (2021; Zbl 1462.81083) Full Text: DOI arXiv
Chong, Jacky Dynamics of large boson systems with attractive interaction and a derivation of the cubic focusing NLS equation in \(\mathbb{R}^3\). (English) Zbl 1462.81216 J. Math. Phys. 62, No. 4, Article ID 042106, 38 p. (2021). MSC: 81V73 35Q55 81R30 PDFBibTeX XMLCite \textit{J. Chong}, J. Math. Phys. 62, No. 4, Article ID 042106, 38 p. (2021; Zbl 1462.81216) Full Text: DOI
Boßmann, Lea; Petrat, Sören; Seiringer, Robert Asymptotic expansion of low-energy excitations for weakly interacting bosons. (English) Zbl 1460.81123 Forum Math. Sigma 9, Paper No. e28, 61 p. (2021). MSC: 81V73 81Q10 35C20 35P05 PDFBibTeX XMLCite \textit{L. Boßmann} et al., Forum Math. Sigma 9, Paper No. e28, 61 p. (2021; Zbl 1460.81123) Full Text: DOI arXiv
Chenn, Ilias; Sigal, Israel Michael Vortex lattices and the Bogoliubov-de Gennes equations. (English) Zbl 1465.82010 Adv. Math. 380, Article ID 107546, 54 p. (2021). Reviewer: Xingbin Pan (Shanghai) MSC: 82D55 35Q55 35A02 PDFBibTeX XMLCite \textit{I. Chenn} and \textit{I. M. Sigal}, Adv. Math. 380, Article ID 107546, 54 p. (2021; Zbl 1465.82010) Full Text: DOI arXiv
Beheshti, Shabnam (ed.); Disconzi, Marcelo M. (ed.); Hoang, Vu (ed.) Mini-workshop: Relativistic fluids at the intersection of mathematics and physics. Abstracts from the mini-workshop held December 13–19, 2020 (online meeting). (English) Zbl 1473.00039 Oberwolfach Rep. 17, No. 4, 2093-2115 (2020). MSC: 00B05 00B25 35-06 76-06 83-06 76Y05 83C55 PDFBibTeX XMLCite \textit{S. Beheshti} (ed.) et al., Oberwolfach Rep. 17, No. 4, 2093--2115 (2020; Zbl 1473.00039) Full Text: DOI
Rougerie, Nicolas Scaling limits of bosonic ground states, from many-body to non-linear Schrödinger. (English) Zbl 1472.35319 EMS Surv. Math. Sci. 7, No. 2, 253-408 (2020). Reviewer: Joseph Shomberg (Providence) MSC: 35Q40 35Q55 81V70 81V73 35-02 81-02 PDFBibTeX XMLCite \textit{N. Rougerie}, EMS Surv. Math. Sci. 7, No. 2, 253--408 (2020; Zbl 1472.35319) Full Text: DOI arXiv
Myśliwy, Krzysztof; Seiringer, Robert Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit. (English) Zbl 1454.82035 Ann. Henri Poincaré 21, No. 12, 4003-4025 (2020). MSC: 82D05 81V70 81V73 PDFBibTeX XMLCite \textit{K. Myśliwy} and \textit{R. Seiringer}, Ann. Henri Poincaré 21, No. 12, 4003--4025 (2020; Zbl 1454.82035) Full Text: DOI arXiv
Rademacher, Simone Central limit theorem for Bose gases interacting through singular potentials. (English) Zbl 1446.35152 Lett. Math. Phys. 110, No. 8, 2143-2174 (2020). MSC: 35Q40 35Q55 81Q05 82C10 81V70 60F05 PDFBibTeX XMLCite \textit{S. Rademacher}, Lett. Math. Phys. 110, No. 8, 2143--2174 (2020; Zbl 1446.35152) Full Text: DOI arXiv
Phan Thành Nam; Salzmann, Robert Derivation of 3D energy-critical nonlinear Schrödinger equation and Bogoliubov excitations for Bose gases. (English) Zbl 1441.35180 Commun. Math. Phys. 375, No. 1, 495-571 (2020). Reviewer: Michael Perelmuter (Kyïv) MSC: 35P30 35Q55 81V73 81Q15 82D05 PDFBibTeX XMLCite \textit{Phan Thành Nam} and \textit{R. Salzmann}, Commun. Math. Phys. 375, No. 1, 495--571 (2020; Zbl 1441.35180) Full Text: DOI arXiv
Boßmann, Lea; Pavlović, Nataša; Pickl, Peter; Soffer, Avy Higher order corrections to the mean-field description of the dynamics of interacting bosons. (English) Zbl 1439.82029 J. Stat. Phys. 178, No. 6, 1362-1396 (2020). MSC: 82C22 82C10 81V10 35Q55 35Q40 PDFBibTeX XMLCite \textit{L. Boßmann} et al., J. Stat. Phys. 178, No. 6, 1362--1396 (2020; Zbl 1439.82029) Full Text: DOI arXiv
Petrat, Sören; Pickl, Peter; Soffer, Avy Derivation of the Bogoliubov time evolution for a large volume mean-field limit. (English) Zbl 1435.35322 Ann. Henri Poincaré 21, No. 2, 461-498 (2020). MSC: 35Q40 35Q55 81Q05 82C10 81V70 PDFBibTeX XMLCite \textit{S. Petrat} et al., Ann. Henri Poincaré 21, No. 2, 461--498 (2020; Zbl 1435.35322) Full Text: DOI arXiv
Mitrouskas, David; Petrat, Sören; Pickl, Peter Bogoliubov corrections and trace norm convergence for the Hartree dynamics. (English) Zbl 1435.35321 Rev. Math. Phys. 31, No. 8, Article ID 1950024, 36 p. (2019). Reviewer: Alessandro Selvitella (Fort Wayne) MSC: 35Q40 35Q55 81Q05 82C10 82C22 PDFBibTeX XMLCite \textit{D. Mitrouskas} et al., Rev. Math. Phys. 31, No. 8, Article ID 1950024, 36 p. (2019; Zbl 1435.35321) Full Text: DOI arXiv
Jeblick, Maximilian; Leopold, Nikolai; Pickl, Peter Derivation of the time dependent Gross-Pitaevskii equation in two dimensions. (English) Zbl 1442.81065 Commun. Math. Phys. 372, No. 1, 1-69 (2019). Reviewer: T. C. Mohan (Chennai) MSC: 81V70 35Q55 35Q40 82C22 PDFBibTeX XMLCite \textit{M. Jeblick} et al., Commun. Math. Phys. 372, No. 1, 1--69 (2019; Zbl 1442.81065) Full Text: DOI arXiv
Brennecke, Christian; Phan Thành Nam; Napiórkowski, Marcin; Schlein, Benjamin Fluctuations of \(N\)-particle quantum dynamics around the nonlinear Schrödinger equation. (English) Zbl 1419.81042 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 5, 1201-1235 (2019). MSC: 81V70 35Q55 82C22 82C26 81R15 37K10 35Q53 PDFBibTeX XMLCite \textit{C. Brennecke} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 5, 1201--1235 (2019; Zbl 1419.81042) Full Text: DOI arXiv
Phan Thành Nam; Napiórkowski, Marcin Norm approximation for many-body quantum dynamics: Focusing case in low dimensions. (English) Zbl 1416.81059 Adv. Math. 350, 547-587 (2019). MSC: 81Q05 81V70 35Q55 82C28 81Q15 PDFBibTeX XMLCite \textit{Phan Thành Nam} and \textit{M. Napiórkowski}, Adv. Math. 350, 547--587 (2019; Zbl 1416.81059) Full Text: DOI arXiv
Brennecke, Christian; Schlein, Benjamin Gross-Pitaevskii dynamics for Bose-Einstein condensates. (English) Zbl 1414.35184 Anal. PDE 12, No. 6, 1513-1596 (2019). MSC: 35Q40 81V70 PDFBibTeX XMLCite \textit{C. Brennecke} and \textit{B. Schlein}, Anal. PDE 12, No. 6, 1513--1596 (2019; Zbl 1414.35184) Full Text: DOI arXiv
Benedikter, Niels; Sok, Jérémy; Solovej, Jan Philip The Dirac-Frenkel principle for reduced density matrices, and the Bogoliubov-de Gennes equations. (English) Zbl 1390.81757 Ann. Henri Poincaré 19, No. 4, 1167-1214 (2018). Reviewer: Eric Stachura (Marietta) MSC: 81V70 81P16 PDFBibTeX XMLCite \textit{N. Benedikter} et al., Ann. Henri Poincaré 19, No. 4, 1167--1214 (2018; Zbl 1390.81757) Full Text: DOI arXiv
Fröhlich, Jürg; Knowles, Antti; Schlein, Benjamin; Sohinger, Vedran Gibbs measures of nonlinear Schrödinger equations as limits of many-body quantum states in dimensions \({d \leqslant 3}\). (English) Zbl 1381.81177 Commun. Math. Phys. 356, No. 3, 883-980 (2017). Reviewer: Anthony D. Osborne (Keele) MSC: 81V70 82B30 35Q55 PDFBibTeX XMLCite \textit{J. Fröhlich} et al., Commun. Math. Phys. 356, No. 3, 883--980 (2017; Zbl 1381.81177) Full Text: DOI arXiv
von Keler, Johannes; Teufel, Stefan The NLS limit for Bosons in a quantum waveguide. (English) Zbl 1354.81025 Ann. Henri Poincaré 17, No. 12, 3321-3360 (2016). MSC: 81Q37 81V70 82D77 82B26 35Q55 PDFBibTeX XMLCite \textit{J. von Keler} and \textit{S. Teufel}, Ann. Henri Poincaré 17, No. 12, 3321--3360 (2016; Zbl 1354.81025) Full Text: DOI arXiv