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pro vyhledávání: '"Deuchert, Andreas"'
Autor:
Caporaletti, Marco, Deuchert, Andreas
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 upper bound for the grand canonical free energy was proved in arXiv:2305.1
Externí odkaz:
http://arxiv.org/abs/2310.12314
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. Our main result is an upper bound for the grand canonical free energy in
Externí odkaz:
http://arxiv.org/abs/2305.19173
Publikováno v:
Calculus of Variations and PDE 62, 203 (2023)
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 also provide an asymptotic formula for the BCS critical temperature a
Externí odkaz:
http://arxiv.org/abs/2210.09356
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 shown in arXiv:2009.00992 that the one-particle density matrix of Gibbs
Externí odkaz:
http://arxiv.org/abs/2203.17204
Publikováno v:
Prob. Math. Phys. 4 (2023) 1-89
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 provide an asymptotic formula for the BCS critical temperature as a funct
Externí odkaz:
http://arxiv.org/abs/2105.05623
Autor:
Deuchert, Andreas, Seiringer, Robert
Publikováno v:
Journal of Functional Analysis 281, Issue 6, 109096 (2021)
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 approximated by the minimum of the Hartree free energy functional - a natu
Externí odkaz:
http://arxiv.org/abs/2009.00992
Autor:
Li, Xiang, Yakaboylu, Enderalp, Bighin, Giacomo, Schmidt, Richard, Lemeshko, Mikhail, Deuchert, Andreas
Inspired by the possibility to experimentally manipulate and enhance chemical reactivity in helium nanodroplets, we investigate the effective interaction and the resulting correlations between two diatomic molecules immersed in a bath of bosons. By a
Externí odkaz:
http://arxiv.org/abs/1912.02658
Publikováno v:
Forum Math. Sigma 8, e20 (2020)
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 $\rho$ and inverse temperature $\beta$ differs from the one of the non-interacting system
Externí odkaz:
http://arxiv.org/abs/1910.03372
Autor:
Deuchert, Andreas, Seiringer, Robert
Publikováno v:
Archive for Rational Mechanics and Analysis, 236(3), 1217-1271 (2020)
We consider a dilute, homogeneous Bose gas at positive temperature. The system is investigated in the Gross-Pitaevskii (GP) limit, where the scattering length $a$ is so small that the interaction energy is of the same order of magnitude as the spectr
Externí odkaz:
http://arxiv.org/abs/1901.11363
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