Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Rademacher, Simone"'
Autor:
Lemm, Marius, Rademacher, Simone
Quantum many-body chaos concerns the scrambling of quantum information among large numbers of degrees of freedom. It rests on the prediction that out-of-time-ordered correlators (OTOCs) of the form $\langle [A(t),B]^2\rangle$ can be connected to clas
Externí odkaz:
http://arxiv.org/abs/2312.01736
We prove fundamental properties of empirical measures induced by measurements performed on quantum $N$-body systems. More precisely, we consider measurements performed on the ground state of an interacting, trapped Bose gase in the Gross--Pitaevskii
Externí odkaz:
http://arxiv.org/abs/2312.00541
We consider a system of $N$ bosons on the three-dimensional unit torus. The particles interact through repulsive pair interactions of the form $N^{3\beta-1} v (N^\beta x)$ for $\beta \in (0,1)$. We prove the next order correction to Bogoliubov theory
Externí odkaz:
http://arxiv.org/abs/2309.12233
Autor:
Nam, Phan Thành, Rademacher, Simone
We consider N bosons on the unit torus $\Lambda = [0,1]^3$ in the Gross-Pitaevski regime where the interaction potential scales as $N^2 V (N(x -y))$. We prove that the thermal equilibrium at low temperatures exhibits the Bose-Einstein condensation in
Externí odkaz:
http://arxiv.org/abs/2307.10622
Autor:
Rademacher, Simone
We consider the ground state of a Bose gas of N particles on the three-dimensional unit torus in the mean-field regime that is known to exhibit Bose-Einstein condensation. Bounded one-particle operators with law given through the interacting Bose gas
Externí odkaz:
http://arxiv.org/abs/2301.00430
Autor:
Rademacher, Simone
We consider the regularized Landau-Pekar equations with positive speed of sound and prove the existence of subsonic traveling waves. We provide a definition of the effective mass for the regularized Landau-Pekar equations based on the energy-velocity
Externí odkaz:
http://arxiv.org/abs/2211.08198
Autor:
Rademacher, Simone
We consider the many-body time evolution of weakly interacting bosons in the mean field regime for initial coherent states. We show that bounded k-particle operators, corresponding to dependent random variables, satisfy both, a law of large numbers a
Externí odkaz:
http://arxiv.org/abs/2112.04817
Autor:
Rademacher, Simone, Seiringer, Robert
Publikováno v:
Journal of Statistical Physics 188, Article number: 9 (2022)
We study the many-body dynamics of an initially factorized bosonic wave function in the mean-field regime. We prove large deviation estimates for the fluctuations around the condensate. We derive an upper bound extending a recent result to more gener
Externí odkaz:
http://arxiv.org/abs/2112.01999
Publikováno v:
J. Phys. A: Math. Theor. 55 015201 (2022)
We provide a definition of the effective mass for the classical polaron described by the Landau-Pekar equations. It is based on a novel variational principle, minimizing the energy functional over states with given (initial) velocity. The resulting f
Externí odkaz:
http://arxiv.org/abs/2107.03720
We consider the many-body quantum evolution of a factorized initial data, in the mean-field regime. We show that fluctuations around the limiting Hartree dynamics satisfy large deviation estimates, that are consistent with central limit theorems that
Externí odkaz:
http://arxiv.org/abs/2010.13754