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

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 (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