108 citations · 365 across the 21 of their papers we have counts for
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Interacting loop ensembles and Bose gases
Jürg Fröhlich, Antti Knowles, Benjamin Schlein +1
We study interacting Bose gases in thermal equilibrium on a lattice. We establish convergence of the grand canonical Gibbs states of such gases to their mean-field (classical field…
A path-integral analysis of interacting Bose gases and loop gases
Jürg Fröhlich, Antti Knowles, Benjamin Schlein +1
We review some recent results on interacting Bose gases in thermal equilibrium. In particular, we study the convergence of the grand-canonical equilibrium states of such gases to t…
The mean-field limit of quantum Bose gases at positive temperature
Jürg Fröhlich, Antti Knowles, Benjamin Schlein +1
We prove that the grand canonical Gibbs state of an interacting quantum Bose gas converges to the Gibbs measure of a nonlinear Schrödinger equation in the mean-field limit, where t…