2 citations · 2 across the 8 of their papers we have counts for
8 papers
Probabilistic representation and limit theorems for particle numbers of quasi-free states
Fanch Coudreuse, Simone Rademacher, Oliver Tse
We study the particle number distribution of locally interacting bosonic quasi- free states, which arise in various areas of mathematical physics. We show that the particle number…
Exponential concentration of fluctuations in mean-field boson dynamics
Matias Gabriel Ginzburg, Simone Rademacher, Giacomo De Palma
We study the mean-field dynamics of a system of interacting bosons starting from an initially condensated state. For a broad class of mean-field Hamiltonians, including models…
Failure of the mean-field Hartree approximation for a bosonic many-body system with non-Hermitian Hamiltonian
Matias Ginzburg, Simone Rademacher, Giacomo De Palma
Mean-field Hartree theory is a central tool for reducing many-body dynamics to an effective one-particle evolution. This approximation has been employed when the Hamiltonian govern…
On Bose-Einstein condensates in disordered media
Marius Lemm, Simone Rademacher, Jingxuan Zhang
We consider the quantum dynamics of interacting bosons in the mean-field regime when they are subjected to a disordered potential, which is either random or quasi-periodic. Startin…
Dispersive estimates and long-time validity for Bogoliubov dynamics of interacting Bose gases
Phan Thành Nam, Simone Rademacher, Avy Soffer
We consider the Bogoliubov approximation for the many-body quantum dynamics of weakly interacting Bose gases and establish a uniform-in-time validity of the Bogoliubov theory. The…
Local enhancement of the mean-field approximation for bosons
Marius Lemm, Simone Rademacher, Jingxuan Zhang
We study the quantum many-body dynamics of a Bose-Einstein condensate (BEC) on the lattice in the mean-field regime. We derive a local enhancement of the mean-field approximation:…
Out-of-time-ordered correlators of mean-field bosons via Bogoliubov theory
Marius Lemm, Simone Rademacher
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 (O…
Ground state of Bose gases interacting through singular potentials
Lea Boßmann, Nikolai Leopold, Sören Petrat +1
We consider a system of bosons on the three-dimensional unit torus. The particles interact through repulsive pair interactions of the form for .…