Correlations in Large Quantum Systems

Project Information

CLaQS

Grant agreement ID: 834782

DOI

10.3030/834782

Project closed

EC signature date 3 April 2019

Start date 1 September 2019

End date 28 February 2025

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 876 050,00

EU contribution

€ 1 876 050,00

Coordinated by

UNIVERSITAT ZURICH
Switzerland

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (27)

Interacting Loop Ensembles and Bose Gases

Author(s): Jürg Fröhlich, Antti Knowles, Benjamin Schlein, Vedran Sohinger
Published in: Annales Henri Poincare, 2023, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-022-01238-1

Reduced fluctuations for bosons in a double well

Author(s): Alessandro Olgiati
Published in: Journal of Mathematical Physics, Issue 1, 2022, ISSN 1089-7658
Publisher: American Institute Physics
DOI: 10.1063/5.0089500

A Short Proof of Bose–Einstein Condensation in the Gross–Pitaevskii Regime and Beyond

Author(s): Christian Brennecke; Morris Brooks; Cristina Caraci; Jakob Oldenburg
Published in: Annales Henri Poincaré, Issue 2, 2025, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-024-01465-8

Effective Dynamics of Extended Fermi Gases in the High-Density Regime

Author(s): Luca Fresta, Marcello Porta, Benjamin Schlein
Published in: Communications in Mathematical Physics, 2023, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-023-04677-x

The Excitation Spectrum of Two-Dimensional Bose Gases in the Gross–Pitaevskii Regime

Author(s): Caraci, Cristina; Cenatiempo, Serena; Schlein, Benjamin
Published in: Annales Henri Poincaré, Issue 1, 2023, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-023-01278-1

Bogoliubov Theory for Trapped Bosons in the Gross-Pitaevskii Regime

Author(s): C. Brennecke, B. Schlein, S. Schraven
Published in: Ann. Henri Poincare', Issue 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, Issue 180/1-6, 2020, Page(s) 810-831, ISSN 0022-4715
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-020-02543-x

Bose-Einstein condensation for two dimensional bosons in the Gross-Pitaevskii regime.

Author(s): Cristina Caraci, Serena Cenatiempo, Benjamin Schlein
Published in: Journal Statistical Physics, Issue 183, 2021, Page(s) 39, ISSN 0022-4715
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-021-02766-6

Diagonalizing Bose Gases in the Gross–Pitaevskii Regime and Beyond

Author(s): Morris Brooks
Published in: Communications in Mathematical Physics, Issue 1, 2025, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-024-05199-w

Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential

Author(s): Benedikter, Niels; Porta, Marcello; Schlein, Benjamin; Seiringer, Robert
Published in: Archive for Rational Mechanics and Analysis, Issue 1, 2023, ISSN 1432-0673
Publisher: Springer
DOI: 10.1007/s00205-023-01893-6

The Euclidean ϕ^4​ theory as a limit of an interacting Bose gas

Author(s): Jürg Fröhlich, Antti Knowles, Benjamin Schlein, Vedran Sohinger
Published in: Journal European Mathematical Society, 2024, ISSN 1435-9855
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/jems/1454

Upper Bound for the Ground State Energy of a Dilute Bose Gas of Hard Spheres

Author(s): Basti, Giulia; Cenatiempo, Serena; Giuliani, Alessandro; Olgiati, Alessandro; Pasqualetti, Giulio; Schlein, Benjamin
Published in: Archive for Rational Mechanics and Analysis, Issue 1, 2024, ISSN 1432-0673
Publisher: Springer
DOI: 10.1007/s00205-024-02049-w

A Second Order Upper Bound for the Ground State Energy of a Hard-Sphere Gas in the Gross–Pitaevskii Regime

Author(s): Giulia Basti, Serena Cenatiempo, Alessandro Olgiati, Giulio Pasqualetti, Benjamin Schlein
Published in: Communications in Mathematical Physics, 2023, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-022-04547-y

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, Issue 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, Issue 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, Issue Published online, 2021, ISSN 0894-0347
Publisher: American Mathematical Society
DOI: 10.1090/jams/987

Excitation spectrum of Bose gases beyond the Gross–Pitaevskii regime

Author(s): Christian Brennecke, Marco Caporaletti, Benjamin Schlein
Published in: Reviews in Mathematical Physics, Issue 17936659, 2022, ISSN 1793-6659
Publisher: World Scientific
DOI: 10.1142/s0129055x22500271

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

Quantum fluctuations of many-body dynamics around the Gross–Pitaevskii equation

Author(s): Cristina Caraci, Jakob Oldenburg, Benjamin Schlein
Published in: Annales de l' Institu Henri Poincare', Analyse non lineare, 2024, ISSN 0294-1449
Publisher: Elsevier BV
DOI: 10.4171/aihpc/132

Asymptotic series for low-energy excitations of the Fröhlich polaron at strong coupling

Author(s): Brooks, Morris; Mitrouskas, David
Published in: Probability and Mathematical Physics, Issue 1, 2025, ISSN 2690-0998
Publisher: Mathematical Sciences Publisher
DOI: 10.2140/pmp.2025.6.281

Bosonization of Fermionic Many-Body Dynamics

Author(s): Niels Benedikter, Phan Thành Nam, Marcello Porta, Benjamin Schlein, Robert Seiringer
Published in: Annals Henri Poincare, Issue 14240637, 2022, Page(s) 1725–1764, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-021-01136-y

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., Issue 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

Dynamics of mean-field bosons at positive temperature

Author(s): Andreas Deuchert, Marco Caporaletti, Benjamin Schlein
Published in: Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire, 2023, ISSN 0294-1449
Publisher: Elsevier BV
DOI: 10.4171/aihpc/93

Bose–Einstein Condensation Beyond the Gross–Pitaevskii Regime

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

Bose-Einstein 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., Issue 15729656, 2021, Page(s) 12, ISSN 1572-9656
Publisher: Springer Nature
DOI: 10.1007/s11040-022-09424-7

Bogoliubov theory in the Gross-Pitaevskii limit: a simplified approach

Author(s): Christian Hainzl, Benjamin Schlein, Arnaud Triay
Published in: Forum of Mathematics, Sigma, Issue 20505094, 2022, ISSN 2050-5094
Publisher: CUP
DOI: 10.1017/fms.2022.78

Other (3)

Third order corrections to the ground state energy of a Bose gas in the Gross-Pitaevskii regime

Author(s): Cristina Caraci, Alessandro Olgiati, Diane Saint Aubin, Benjamin Schlein
Published in: Preprint arXiv, 2024
Publisher: arXiv

Upper Bound for the Free Energy of Dilute Bose Gases at Low Temperature

Author(s): Florian Haberberger, Christian Hainzl, Benjamin Schlein, Arnaud Triay
Published in: Preprint arXiv, 2024
Publisher: arXiv

Effective Dynamics of Local Observables for Extended Fermi Gases in the High-Density Regime

Author(s): Luca Fresta, Marcello Porta, Benjamin Schlein
Published in: Preprint arXiv, 2024
Publisher: arXiv

Book chapters (1)

Bose gases in the Gross–Pitaevskii limit: A survey of some rigorous results

Author(s): Benjamin Schlein
Published in: The Physics and Mathematics of Elliott Lieb, 2022, Page(s) 277-305, ISBN 978-3-98547-019-8
Publisher: EMS Press
DOI: 10.4171/90-2/40