47 citations · 205 across the 22 of their papers we have counts for
23 papers
Random field approximation and local counting statistics for the weakly interacting thermal Bose gas
Andreas Deuchert, Marcin Napiórkowski, Błażej Ruba
We study weakly interacting bosons on the three-dimensional torus at temperatures proportional to the critical temperature for Bose--Einstein condensation. We show that, as the exp…
Large Deviations for the Bose--Einstein Condensate of the Ideal Gas in the Canonical Ensemble
Andreas Deuchert, Xuanyu Li
We consider a non-interacting Bose gas governed by a general one-particle Hamiltonian in the canonical ensemble. Our main results are large-deviation estimates for the number of pa…
A new upper bound on the specific free energy of dilute Bose gases
Giulia Basti, Chiara Boccato, Serena Cenatiempo +1
We prove an upper bound for the free energy (per unit volume) of the dilute Bose gas in the thermodynamic limit, showing that the free energy at density and inverse temperature…
Dynamics and equilibrium states of infinite systems of lattice bosons
Andreas Deuchert, Jonas Lampart, Marius Lemm
We consider the dynamics of systems of lattice bosons with infinitely many degrees of freedom. We show that their dynamics defines a group of automorphisms on a --algebra intr…
A note on spontaneous symmetry breaking in the mean-field Bose gas
Andreas Deuchert, Phan Thanh Nam, Marcin Napiorkowski
We consider the homogeneous Bose gas in the three-dimensional unit torus, where particles interact via a two-body potential of the form . The system is studied at…
The Gibbs state of the mean-field Bose gas
Andreas Deuchert, Phan Thành Nam, Marcin Napiórkowski
We consider the homogeneous mean-field Bose gas at temperatures proportional to the critical temperature of its Bose-Einstein condensation phase transition. We prove a trace norm a…
Upper bound for the grand canonical free energy of the Bose gas in the Gross-Pitaevskii limit for general interaction potentials
Marco Caporaletti, Andreas Deuchert
We consider a homogeneous Bose gas in the Gross--Pitaevskii limit at temperatures that are comparable to the critical temperature for Bose--Einstein condensation. Recently, an uppe…
Upper bound for the grand canonical free energy of the Bose gas in the Gross-Pitaevskii limit
Chiara Boccato, Andreas Deuchert, David Stocker
We consider a homogeneous Bose gas in the Gross-Pitaevskii limit at temperatures that are comparable to the critical temperature for Bose-Einstein condensation in the ideal gas. Ou…
Microscopic Derivation of Ginzburg-Landau Theory and the BCS Critical Temperature Shift in General External Fields
Andreas Deuchert, Christian Hainzl, Marcel Maier
We consider the Bardeen-Cooper-Schrieffer (BCS) free energy functional with weak and macroscopic external electric and magnetic fields and derive the Ginzburg-Landau functional. We…
Dynamics of mean-field bosons at positive temperature
Marco Caporaletti, Andreas Deuchert, Benjamin Schlein
We study the time evolution of an initially trapped weakly interacting Bose gas at positive temperature, after the trapping potential has been switched off. It has been recently sh…
Microscopic Derivation of Ginzburg-Landau Theory and the BCS Critical Temperature Shift in a Weak Homogeneous Magnetic Field
Andreas Deuchert, Christian Hainzl, Marcel Maier
Starting from the Bardeen-Cooper-Schrieffer (BCS) free energy functional, we derive the Ginzburg-Landau functional in the presence of a weak homogeneous magnetic field. We also pro…
Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons
Andreas Deuchert, Robert Seiringer
We consider a system of N trapped bosons with repulsive interactions in a combined semiclassical mean-field limit at positive temperature. We show that the free energy is well appr…
The free energy of the two-dimensional dilute Bose gas. II. Upper bound
Simon Mayer, Robert Seiringer
We prove an upper bound on the free energy of a two-dimensional homogeneous Bose gas in the thermodynamic limit. We show that for and the free energy per…
Intermolecular forces and correlations mediated by a phonon bath
Xiang Li, Enderalp Yakaboylu, Giacomo Bighin +3
Inspired by the possibility to experimentally manipulate and enhance chemical reactivity in helium nanodroplets, we investigate the effective interaction and the resulting correlat…
The free energy of the two-dimensional dilute Bose gas. I. Lower bound
Andreas Deuchert, Simon Mayer, Robert Seiringer
We prove a lower bound for the free energy (per unit volume) of the two-dimensional Bose gas in the thermodynamic limit. We show that the free energy at density and inverse tem…
Gross-Pitaevskii Limit of a Homogeneous Bose Gas at Positive Temperature
Andreas Deuchert, Robert Seiringer
We consider a dilute, homogeneous Bose gas at positive temperature. The system is investigated in the Gross-Pitaevskii (GP) limit, where the scattering length is so small that…
Theory of the Rotating Polaron: Spectrum and Self-Localization
Enderalp Yakaboylu, Bikashkali Midya, Andreas Deuchert +2
We study a quantum impurity possessing both translational and internal rotational degrees of freedom interacting with a bosonic bath. Such a system corresponds to a `rotating polar…
Bose-Einstein Condensation in a Dilute, Trapped Gas at Positive Temperature
Andreas Deuchert, Robert Seiringer, Jakob Yngvason
We consider an interacting, dilute Bose gas trapped in a harmonic potential at a positive temperature. The system is analyzed in a combination of a thermodynamic and a Gross-Pitaev…
Emergence of non-abelian magnetic monopoles in a quantum impurity problem
Enderalp Yakaboylu, Andreas Deuchert, Mikhail Lemeshko
Recently it was shown that molecules rotating in superfluid helium can be described in terms of the angulon quasiparticles (Phys. Rev. Lett. 118, 095301 (2017)). Here we demonstrat…
A lower bound for the BCS functional with boundary conditions at infinity
Andreas Deuchert
We consider a many-body system of fermionic atoms interacting via a local pair potential and subject to an external potential within the framework of BCS theory. We measure the fre…
Persistence of translational symmetry in the BCS model with radial pair interaction
Andreas Deuchert, Alissa Geisinger, Christian Hainzl +1
We consider the two-dimensional BCS functional with a radial pair interaction. We show that the translational symmetry is not broken in a certain temperature interval below the cri…
Note on a Family of Monotone Quantum Relative Entropies
Andreas Deuchert, Christian Hainzl, Robert Seiringer
Given a convex function and two hermitian matrices and , Lewin and Sabin study in [M. Lewin, J. Sabin, {\it A Family of Monotone Quantum Relative Entropies}, Lett. Math.…
Dynamics and symmetries of a repulsively bound atom pair in an infinite optical lattice
Andreas Deuchert, Kaspar Sakmann, Alexej I. Streltsov +2
We investigate the dynamics of two bosons trapped in an infinite one-dimensional optical lattice potential within the framework of the Bose-Hubbard model and derive an exact expres…