Analysis of quantum many-body systems

Project Period: 2016-10-01 – 2021-09-30
Externally Funded
Acronym
AQUAMS
Principal Investigator
Robert Seiringer
Department(s)
Seiringer Group
Grant Number
694227
Funding Organisation
EC/H2020

60 Publications

2018 | Conference Paper | IST-REx-ID: 11 | OA
Mean-field limits of particles in interaction with quantised radiation fields
N.K. Leopold, P. Pickl, in:, Springer, 2018, pp. 185–214.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2022 | Journal Article | IST-REx-ID: 11917 | OA
Large deviation estimates for weakly interacting bosons
S.A.E. Rademacher, R. Seiringer, Journal of Statistical Physics 188 (2022).
[Published Version] View | Files available | DOI | WoS
 
2022 | Journal Article | IST-REx-ID: 12083 | OA
Dependent random variables in quantum dynamics
S.A.E. Rademacher, Journal of Mathematical Physics 63 (2022).
[Published Version] View | Files available | DOI | WoS | arXiv
 
2021 | Journal Article | IST-REx-ID: 7685 | OA
The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime
C. Boccato, Reviews in Mathematical Physics 33 (2021).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2021 | Journal Article | IST-REx-ID: 8603 | OA
Quantum corrections to the Pekar asymptotics of a strongly coupled polaron
R. Frank, R. Seiringer, Communications on Pure and Applied Mathematics 74 (2021) 544–588.
[Published Version] View | Files available | DOI | WoS
 
2022 | Thesis | IST-REx-ID: 12390 | OA
Translation-invariant quantum systems with effectively broken symmetry
M. Brooks, Translation-Invariant Quantum Systems with Effectively Broken Symmetry, Institute of Science and Technology Austria, 2022.
[Published Version] View | Files available | DOI
 
2021 | Journal Article | IST-REx-ID: 9246 | OA
Derivation of the Landau–Pekar equations in a many-body mean-field limit
N.K. Leopold, D.J. Mitrouskas, R. Seiringer, Archive for Rational Mechanics and Analysis 240 (2021) 383–417.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2021 | Journal Article | IST-REx-ID: 9318 | OA
Asymptotic expansion of low-energy excitations for weakly interacting bosons
L. Bossmann, S.P. Petrat, R. Seiringer, Forum of Mathematics, Sigma 9 (2021).
[Published Version] View | Files available | DOI | WoS
 
2021 | Journal Article | IST-REx-ID: 9462 | OA
Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons
A. Deuchert, R. Seiringer, Journal of Functional Analysis 281 (2021).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2021 | Journal Article | IST-REx-ID: 10224 | OA
The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics
D. Feliciangeli, R. Seiringer, Archive for Rational Mechanics and Analysis 242 (2021) 1835–1906.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2023 | Journal Article | IST-REx-ID: 12183 | OA
The Bose Gas in a box with Neumann boundary conditions
C. Boccato, R. Seiringer, Annales Henri Poincare 24 (2023) 1505–1560.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2021 | Journal Article | IST-REx-ID: 10537 | OA
Bosonization of fermionic many-body dynamics
N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Annales Henri Poincaré (2021).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2020 | Journal Article | IST-REx-ID: 6649 | OA
Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime
N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Communications in Mathematical Physics 374 (2020) 2097–2150.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2020 | Journal Article | IST-REx-ID: 7790 | OA
The free energy of the two-dimensional dilute Bose gas. I. Lower bound
A. Deuchert, S. Mayer, R. Seiringer, Forum of Mathematics, Sigma 8 (2020).
[Published Version] View | Files available | DOI | WoS | arXiv
 
2021 | Journal Article | IST-REx-ID: 7901 | OA
Correlation energy of a weakly interacting Fermi gas
N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Inventiones Mathematicae 225 (2021) 885–979.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2020 | Journal Article | IST-REx-ID: 8091 | OA
Emergence of Haldane pseudo-potentials in systems with short-range interactions
R. Seiringer, J. Yngvason, Journal of Statistical Physics 181 (2020) 448–464.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2020 | Journal Article | IST-REx-ID: 8134 | OA
The free energy of the two-dimensional dilute Bose gas. II. Upper bound
S. Mayer, R. Seiringer, Journal of Mathematical Physics 61 (2020).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2019 | Journal Article | IST-REx-ID: 80 | OA
Bose–Einstein condensation in a dilute, trapped gas at positive temperature
A. Deuchert, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 368 (2019) 723–776.
[Published Version] View | Files available | DOI | WoS
 
2019 | Journal Article | IST-REx-ID: 6788 | OA
Mean-field dynamics for the Nelson model with fermions
N.K. Leopold, S.P. Petrat, Annales Henri Poincare 20 (2019) 3471–3508.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2020 | Journal Article | IST-REx-ID: 8769 | OA
Quantum impurity model for anyons
E. Yakaboylu, A. Ghazaryan, D. Lundholm, N. Rougerie, M. Lemeshko, R. Seiringer, Physical Review B 102 (2020).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2020 | Journal Article | IST-REx-ID: 7650 | OA
Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature
A. Deuchert, R. Seiringer, Archive for Rational Mechanics and Analysis 236 (2020) 1217–1271.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2020 | Journal Article | IST-REx-ID: 7235 | OA
Divergence of the effective mass of a polaron in the strong coupling limit
E.H. Lieb, R. Seiringer, Journal of Statistical Physics 180 (2020) 23–33.
[Published Version] View | Files available | DOI | WoS
 
2022 | Journal Article | IST-REx-ID: 12246 | OA
Improved Lieb–Oxford bound on the indirect and exchange energies
M. Lewin, E.H. Lieb, R. Seiringer, Letters in Mathematical Physics 112 (2022).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2021 | Journal Article | IST-REx-ID: 7900 | OA
Bosonic collective excitations in Fermi gases
N.P. Benedikter, Reviews in Mathematical Physics 33 (2021).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2021 | Journal Article | IST-REx-ID: 10852 | OA
The polaron at strong coupling
R. Seiringer, Reviews in Mathematical Physics 33 (2021).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2019 | Journal Article | IST-REx-ID: 7100 | OA
Derivation of the time dependent Gross–Pitaevskii equation in two dimensions
M. Jeblick, N.K. Leopold, P. Pickl, Communications in Mathematical Physics 372 (2019) 1–69.
[Published Version] View | Files available | DOI | WoS
 
2019 | Journal Article | IST-REx-ID: 5856 | OA
Energy contribution of a point-interacting impurity in a Fermi gas
T. Moser, R. Seiringer, Annales Henri Poincare 20 (2019) 1325–1365.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2020 | Thesis | IST-REx-ID: 7514 | OA
The free energy of a dilute two-dimensional Bose gas
S. Mayer, The Free Energy of a Dilute Two-Dimensional Bose Gas, Institute of Science and Technology Austria, 2020.
[Published Version] View | Files available | DOI
 
2019 | Preprint | IST-REx-ID: 7524 | OA
The free energy of the two-dimensional dilute Bose gas. I. Lower bound
A. Deuchert, S. Mayer, R. Seiringer, ArXiv:1910.03372 (n.d.).
[Preprint] View | Files available | Download Preprint (ext.)
 
2020 | Journal Article | IST-REx-ID: 8587 | OA
Intermolecular forces and correlations mediated by a phonon bath
X. Li, E. Yakaboylu, G. Bighin, R. Schmidt, M. Lemeshko, A. Deuchert, The Journal of Chemical Physics 152 (2020).
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
2021 | Journal Article | IST-REx-ID: 9225 | OA
Persistence of the spectral gap for the Landau–Pekar equations
D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, Letters in Mathematical Physics 111 (2021).
[Published Version] View | Files available | DOI | WoS
 
2020 | Journal Article | IST-REx-ID: 9781 | OA
Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball
D. Feliciangeli, R. Seiringer, SIAM Journal on Mathematical Analysis 52 (2020) 605–622.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
2021 | Preprint | IST-REx-ID: 9787 | OA
The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics
D. Feliciangeli, R. Seiringer, ArXiv (n.d.).
[Preprint] View | Files available | Download Preprint (ext.) | arXiv
 
2022 | Journal Article | IST-REx-ID: 10564 | OA
Polaron models with regular interactions at strong coupling
K. Mysliwy, R. Seiringer, Journal of Statistical Physics 186 (2022).
[Published Version] View | Files available | DOI | WoS | arXiv
 
2020 | Journal Article | IST-REx-ID: 8705 | OA
Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit
K. Mysliwy, R. Seiringer, Annales Henri Poincare 21 (2020) 4003–4025.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2018 | Journal Article | IST-REx-ID: 295 | OA
Fermionic behavior of ideal anyons
D. Lundholm, R. Seiringer, Letters in Mathematical Physics 108 (2018) 2523–2541.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2018 | Journal Article | IST-REx-ID: 400 | OA
Persistence of translational symmetry in the BCS model with radial pair interaction
A. Deuchert, A. Geisinge, C. Hainzl, M. Loss, Annales Henri Poincare 19 (2018) 1507–1527.
[Published Version] View | Files available | DOI | WoS
 
2018 | Journal Article | IST-REx-ID: 154 | OA
Stability of the 2+2 fermionic system with point interactions
T. Moser, R. Seiringer, Mathematical Physics Analysis and Geometry 21 (2018).
[Published Version] View | Files available | DOI | WoS
 
2018 | Journal Article | IST-REx-ID: 5983 | OA
Theory of the rotating polaron: Spectrum and self-localization
E. Yakaboylu, B. Midya, A. Deuchert, N.K. Leopold, M. Lemeshko, Physical Review B 98 (2018).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2017 | Journal Article | IST-REx-ID: 1120 | OA
Angular self-localization of impurities rotating in a bosonic bath
X. Li, R. Seiringer, M. Lemeshko, Physical Review A 95 (2017).
[Published Version] View | Files available | DOI | Download Published Version (ext.) | WoS
 
2017 | Journal Article | IST-REx-ID: 741 | OA
Stability of a fermionic N+1 particle system with point interactions
T. Moser, R. Seiringer, Communications in Mathematical Physics 356 (2017) 329–355.
[Published Version] View | Files available | DOI | WoS
 
2017 | Journal Article | IST-REx-ID: 997 | OA
Emergence of non-abelian magnetic monopoles in a quantum impurity problem
E. Yakaboylu, A. Deuchert, M. Lemeshko, Physical Review Letters 119 (2017).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2018 | Journal Article | IST-REx-ID: 180 | OA
Statistical mechanics of the uniform electron gas
M. Lewi, É. Lieb, R. Seiringer, Journal de l’Ecole Polytechnique - Mathematiques 5 (2018) 79–116.
[Published Version] View | Files available | DOI | arXiv
 
2021 | Journal Article | IST-REx-ID: 10738 | OA
The Landau–Pekar equations: Adiabatic theorem and accuracy
N.K. Leopold, S.A.E. Rademacher, B. Schlein, R. Seiringer, Analysis and PDE 14 (2021) 2079–2100.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2023 | Thesis | IST-REx-ID: 14374 | OA
Boundary superconductivity in BCS theory
B. Roos, Boundary Superconductivity in BCS Theory, Institute of Science and Technology Austria, 2023.
[Published Version] View | Files available | DOI
 
2022 | Journal Article | IST-REx-ID: 10850 | OA
Two-particle bound states at interfaces and corners
B. Roos, R. Seiringer, Journal of Functional Analysis 282 (2022).
[Published Version] View | Files available | DOI | WoS | arXiv
 
2023 | Journal Article | IST-REx-ID: 13207 | OA
Boundary superconductivity in the BCS model
C. Hainzl, B. Roos, R. Seiringer, Journal of Spectral Theory 12 (2023) 1507–1540.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2023 | Journal Article | IST-REx-ID: 14441 | OA
The Fröhlich Polaron at strong coupling: Part I - The quantum correction to the classical energy
M. Brooks, R. Seiringer, Communications in Mathematical Physics 404 (2023) 287–337.
[Published Version] View | Files available | DOI | arXiv
 
2023 | Journal Article | IST-REx-ID: 13178 | OA
Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron
D.J. Mitrouskas, K. Mysliwy, R. Seiringer, Forum of Mathematics 11 (2023) 1–52.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2023 | Journal Article | IST-REx-ID: 12911 | OA
A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature
D. Feliciangeli, A. Gerolin, L. Portinale, Journal of Functional Analysis 285 (2023).
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
2021 | Preprint | IST-REx-ID: 9792 | OA
A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature
D. Feliciangeli, A. Gerolin, L. Portinale, ArXiv (n.d.).
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
2023 | Journal Article | IST-REx-ID: 13225 | OA
Correlation energy of a weakly interacting Fermi gas with large interaction potential
N.P. Benedikter, M. Porta, B. Schlein, R. Seiringer, Archive for Rational Mechanics and Analysis 247 (2023).
[Published Version] View | Files available | DOI | WoS | arXiv
 
2021 | Journal Article | IST-REx-ID: 14889 | OA
Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron
N.K. Leopold, D.J. Mitrouskas, S.A.E. Rademacher, B. Schlein, R. Seiringer, Pure and Applied Analysis 3 (2021) 653–676.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2020 | Journal Article | IST-REx-ID: 6906 | OA
Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime
C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein, Communications in Mathematical Physics 376 (2020) 1311–1395.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2017 | Journal Article | IST-REx-ID: 912 | OA
A lower bound for the BCS functional with boundary conditions at infinity
A. Deuchert, Journal of Mathematical Physics 58 (2017).
[Submitted Version] View | DOI | Download Submitted Version (ext.) | WoS
 
2019 | Journal Article | IST-REx-ID: 7015 | OA
Floating Wigner crystal with no boundary charge fluctuations
M. Lewin, E.H. Lieb, R. Seiringer, Physical Review B 100 (2019).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2021 | Thesis | IST-REx-ID: 9733 | OA
The polaron at strong coupling
D. Feliciangeli, The Polaron at Strong Coupling, Institute of Science and Technology Austria, 2021.
[Published Version] View | Files available | DOI
 
2022 | Journal Article | IST-REx-ID: 10755 | OA
The effective mass problem for the Landau-Pekar equations
D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, Journal of Physics A: Mathematical and Theoretical 55 (2022).
[Published Version] View | Files available | DOI | arXiv
 
2021 | Preprint | IST-REx-ID: 9791 | OA
The effective mass problem for the Landau-Pekar equations
D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, ArXiv (n.d.).
[Preprint] View | Files available | Download Preprint (ext.) | arXiv
 
2024 | Journal Article | IST-REx-ID: 14931 | OA
Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion
A.B. Lauritsen, R. Seiringer, Journal of Functional Analysis 286 (2024).
[Published Version] View | DOI | Download Published Version (ext.) | arXiv