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Correlations in Large Quantum Systems

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Publications

Bogoliubov Theory for Trapped Bosons in the Gross-Pitaevskii Regime

Author(s): C. Brennecke, B. Schlein, S. Schraven
Published in: Ann. Henri Poincare', 23, 2022, Page(s) 1583, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-021-01151-z

A Path-Integral Analysis of Interacting Bose Gases and Loop Gases

Author(s): Jürg Fröhlich, Antti Knowles, Benjamin Schlein, Vedran Sohinger
Published in: Journal of Statistical Physics, 180/1-6, 2020, Page(s) 810-831, ISSN 0022-4715
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-020-02543-x

A new second order upper bound for the ground state energy of dilute Bose gases

Author(s): G. Basti, S. Cenatiempo, B. Schlein
Published in: Forum of Math. Sigma, 9, 2021, Page(s) e74, ISSN 2050-5094
Publisher: Cambridge University Press
DOI: 10.1017/fms.2021.66

Landau-Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron

Author(s): N. Leopold, D. Mitrouskas, S. Rademacher, B. Schlein, R. Seiringer
Published in: Pure and Appl. Analysis, 3, 2021, Page(s) 653–676, ISSN 2578-5893
Publisher: Mathematical Science Publishers
DOI: 10.2140/paa.2021.3.653

The mean-field limit of quantum Bose gases at positive temperature

Author(s): J. Froehlich, A. Knowles, B. Schlein, V. Sohinger
Published in: Journal AMS, Published online, 2021, ISSN 0894-0347
Publisher: American Mathematical Society
DOI: 10.1090/jams/987

A Large Deviation Principle in Many-Body Quantum Dynamics

Author(s): Kay Kirkpatrick, Simone Rademacher, Benjamin Schlein
Published in: Annales Henri Poincaré, 2021, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-021-01044-1

Ground state energy of a Bose gas in the Gross-Pitaevskii regime

Author(s): Giulia Basti, Serena Cenatiempo, Alessandro Olgiati, Giulio Pasqualetti, Benjamin Schlein
Published in: J. Math. Phys., 63, 2022, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/5.0087116

Correlation energy of a weakly interacting Fermi gas

Author(s): Niels Benedikter, Phan Thành Nam, Marcello Porta, Benjamin Schlein, Robert Seiringer
Published in: Inventiones mathematicae, 2021, ISSN 0020-9910
Publisher: Springer Verlag
DOI: 10.1007/s00222-021-01041-5

Bose–Einstein Condensation Beyond the Gross–Pitaevskii Regime

Author(s): Arka Adhikari, Christian Brennecke, Benjamin Schlein
Published in: Annales Henri Poincaré, 22/4, 2021, Page(s) 1163-1233, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-020-01004-1

Condensation with Optimal Rate for Trapped Bosons in the Gross-Pitaevskii Regime

Author(s): C. Brennecke, B. Schlein, S. Schraven
Published in: Math. Phys. An. Geom., 25, 2021, Page(s) 12, ISSN 1572-9656
Publisher: Springer Nature
DOI: 10.1007/s11040-022-09424-7