Analysis of quantum many-body systems

Project Information

AQUAMS

Grant agreement ID: 694227

DOI 10.3030/694227

Project closed

EC signature date 10 May 2016

Start date 1 October 2016

End date 30 September 2021

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost € 1 497 755,00

EU contribution € 1 497 755,00

Coordinated by

INSTITUTE OF SCIENCE AND TECHNOLOGY AUSTRIA
Austria

Publications

Peer reviewed articles (31)

Derivation of the Time Dependent Gross–Pitaevskii Equation in Two Dimensions

Author(s): Maximilian Jeblick, Nikolai Leopold, Peter Pickl
Published in: Communications in Mathematical Physics, Issue 372/1, 2019, Page(s) 1-69, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-019-03599-x

Asymptotic expansion of low-energy excitations for weakly interacting bosons

Author(s): Lea Boßmann, Sören Petrat, Robert Seiringer
Published in: Forum of Mathematics, Sigma, Issue 9, 2021, ISSN 2050-5094
Publisher: Sigma
DOI: 10.1017/fms.2021.22

Microscopic Derivation of the Fröhlich Hamiltonian for the Bose Polaron in the Mean-Field Limit

Author(s): Krzysztof Myśliwy, Robert Seiringer
Published in: Annales Henri Poincaré, Issue 21/12, 2020, Page(s) 4003-4025, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-020-00969-3

Persistence of the spectral gap for the Landau–Pekar equations

Author(s): Dario Feliciangeli, Simone Rademacher, Robert Seiringer
Published in: Letters in Mathematical Physics, Issue 111/1, 2021, ISSN 0377-9017
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s11005-020-01350-5

Emergence of Haldane Pseudo-Potentials in Systems with Short-Range Interactions

Author(s): Robert Seiringer, Jakob Yngvason
Published in: Journal of Statistical Physics, Issue 181/2, 2020, Page(s) 448-464, ISSN 0022-4715
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-020-02586-0

Gross–Pitaevskii Limit of a Homogeneous Bose Gas at Positive Temperature

Author(s): Andreas Deuchert, Robert Seiringer
Published in: Archive for Rational Mechanics and Analysis, Issue 236/3, 2020, Page(s) 1217-1271, ISSN 0003-9527
Publisher: Springer Verlag
DOI: 10.1007/s00205-020-01489-4

Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime

Author(s): Niels Benedikter, Phan Thành Nam, Marcello Porta, Benjamin Schlein, Robert Seiringer
Published in: Communications in Mathematical Physics, Issue 374/3, 2020, Page(s) 2097-2150, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-019-03505-5

Quantum impurity model for anyons

Author(s): E. Yakaboylu, A. Ghazaryan, D. Lundholm, N. Rougerie, M. Lemeshko, R. Seiringer
Published in: Physical Review B, Issue 102/14, 2020, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/physrevb.102.144109

Intermolecular forces and correlations mediated by a phonon bath

Author(s): Xiang Li, Enderalp Yakaboylu, Giacomo Bighin, Richard Schmidt, Mikhail Lemeshko, Andreas Deuchert
Published in: The Journal of Chemical Physics, Issue 152/16, 2020, Page(s) 164302, ISSN 0021-9606
Publisher: American Institute of Physics
DOI: 10.1063/1.5144759

THE FREE ENERGY OF THE TWO-DIMENSIONAL DILUTE BOSE GAS. I. LOWER BOUND

Author(s): ANDREAS DEUCHERT, SIMON MAYER, ROBERT SEIRINGER
Published in: Forum of Mathematics, Sigma, Issue 8, 2020, ISSN 2050-5094
Publisher: Sigma
DOI: 10.1017/fms.2020.17

Derivation of the Landau–Pekar Equations in a Many-Body Mean-Field Limit

Author(s): Nikolai Leopold, David Mitrouskas, Robert Seiringer
Published in: Archive for Rational Mechanics and Analysis, Issue 240/1, 2021, Page(s) 383-417, ISSN 0003-9527
Publisher: Springer Verlag
DOI: 10.1007/s00205-021-01616-9

The excitation spectrum of the Bose gas in the Gross–Pitaevskii regime

Author(s): Chiara Boccato
Published in: Reviews in Mathematical Physics, Issue 33/01, 2021, Page(s) 2060006, ISSN 0129-055X
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0129055x20600065

Mean-Field Dynamics for the Nelson Model with Fermions

Author(s): Nikolai Leopold, Sören Petrat
Published in: Annales Henri Poincaré, Issue 20/10, 2019, Page(s) 3471-3508, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-019-00828-w

Optimal Rate for Bose–Einstein Condensation in the Gross–Pitaevskii Regime

Author(s): Chiara Boccato; Serena Cenatiempo; Christian Brennecke; Benjamin Schlein
Published in: Boccato, Chiara; Brennecke, Christian; Cenatiempo, Serena; Schlein, Benjamin (2020). Optimal Rate for Bose–Einstein condensation in the Gross–Pitaevskii regime. Communications in Mathematical Physics, 376(2):1311-1395., Issue 5, 2020, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.5167/uzh-180478

Bose–Einstein Condensation in a Dilute, Trapped Gas at Positive Temperature

Author(s): Andreas Deuchert, Robert Seiringer, Jakob Yngvason
Published in: Communications in Mathematical Physics, Issue 368/2, 2019, Page(s) 723-776, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-018-3239-0

Stability of a Fermionic N + 1 Particle System with Point Interactions

Author(s): Thomas Moser, Robert Seiringer
Published in: Communications in Mathematical Physics, Issue 356/1, 2017, Page(s) 329-355, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-017-2980-0

Energy Contribution of a Point-Interacting Impurity in a Fermi Gas

Author(s): Thomas Moser, Robert Seiringer
Published in: Annales Henri Poincaré, Issue 20/4, 2019, Page(s) 1325-1365, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-018-00757-0

Statistical mechanics of the uniform electron gas

Author(s): Mathieu Lewin, Elliott H. Lieb, Robert Seiringer
Published in: Journal de l’École polytechnique — Mathématiques, Issue 5, 2018, Page(s) 79-116, ISSN 2270-518X
Publisher: l'Ecole Polytechnique
DOI: 10.5802/jep.64

Fermionic behavior of ideal anyons

Author(s): Douglas Lundholm, Robert Seiringer
Published in: Letters in Mathematical Physics, Issue 108/11, 2018, Page(s) 2523-2541, ISSN 0377-9017
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s11005-018-1091-y

Stability of the 2 + 2 Fermionic System with Point Interactions

Author(s): Thomas Moser, Robert Seiringer
Published in: Mathematical Physics, Analysis and Geometry, Issue 21/3, 2018, ISSN 1385-0172
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s11040-018-9275-3

Emergence of Non-Abelian Magnetic Monopoles in a Quantum Impurity Problem

Author(s): E. Yakaboylu, A. Deuchert, M. Lemeshko
Published in: Physical Review Letters, Issue 119/23, 2017, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.119.235301

Persistence of Translational Symmetry in the BCS Model with Radial Pair Interaction

Author(s): Andreas Deuchert, Alissa Geisinger, Christian Hainzl, Michael Loss
Published in: Annales Henri Poincaré, Issue 19/5, 2018, Page(s) 1507-1527, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-018-0665-7

Theory of the rotating polaron: Spectrum and self-localization

Author(s): Enderalp Yakaboylu, Bikashkali Midya, Andreas Deuchert, Nikolai Leopold, Mikhail Lemeshko
Published in: Physical Review B, Issue 98/22, 2018, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/physrevb.98.224506

Angular self-localization of impurities rotating in a bosonic bath

Author(s): Xiang Li, Robert Seiringer, Mikhail Lemeshko
Published in: Physical Review A, Issue 95/3, 2017, ISSN 2469-9926
Publisher: American Physical Society
DOI: 10.1103/physreva.95.033608

A lower bound for the BCS functional with boundary conditions at infinity

Author(s): Andreas Deuchert
Published in: Journal of Mathematical Physics, Issue 58/8, 2017, Page(s) 081901, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/1.4996580

Floating Wigner crystal with no boundary charge fluctuations

Author(s): Mathieu Lewin, Elliott H. Lieb, Robert Seiringer
Published in: Physical Review B, Issue 100/3, 2019, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/physrevb.100.035127

Bosonic collective excitations in Fermi gases

Author(s): Niels Benedikter
Published in: Reviews in Mathematical Physics, Issue 33/01, 2021, Page(s) 2060009, ISSN 0129-055X
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0129055x20600090

The free energy of the two-dimensional dilute Bose gas. II. Upper bound

Author(s): Simon Mayer, Robert Seiringer
Published in: Journal of Mathematical Physics, Issue 61/6, 2020, Page(s) 061901, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/5.0005950

Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron

Author(s): Rupert L. Frank, Robert Seiringer
Published in: Communications on Pure and Applied Mathematics, Issue 74/3, 2021, Page(s) 544-588, ISSN 0010-3640
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/cpa.21944

The effective mass problem for the Landau-Pekar equations

Author(s): Dario Feliciangeli; Simone Rademacher; Robert Seiringer
Published in: Journal of Physics A: Mathematical and Theoretical, Issue 9, 2022, ISSN 1751-8113
Publisher: Institute of Physics Publishing
DOI: 10.1088/1751-8121/ac3947

Divergence of the Effective Mass of a Polaron in the Strong Coupling Limit

Author(s): Elliott H. Lieb, Robert Seiringer
Published in: Journal of Statistical Physics, Issue 180/1-6, 2020, Page(s) 23-33, ISSN 0022-4715
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-019-02322-3

Book chapters (1)

Mean-Field Limits of Particles in Interaction with Quantized Radiation Fields

Author(s): Nikolai Leopold, Peter Pickl
Published in: Macroscopic Limits of Quantum Systems - Munich, Germany, March 30 - April 1, 2017, Issue 270, 2018, Page(s) 185-214, ISBN 978-3-030-01601-2
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-01602-9_9