238 citations · 1.5k across the 41 of their papers we have counts for
13 papers · 1 filter
The Euclidean theory as a limit of an inhomogeneous Bose gas
Cristina Caraci, Antti Knowles, Alessio Ranallo +1
We prove that the grand canonical Gibbs state of an interacting two-dimensional quantum Bose gas confined by a trapping potential converges to the complex Euclidean field theory wi…
The Euclidean theory as a limit of an interacting Bose gas
Jürg Fröhlich, Antti Knowles, Benjamin Schlein +1
We prove that the complex Euclidean field theory with local quartic self-interaction in two dimensions arises as a limit of an interacting Bose gas at positive temperature, when th…
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…
A microscopic derivation of time-dependent correlation functions of the cubic nonlinear Schrödinger equation
Jürg Fröhlich, Antti Knowles, Benjamin Schlein +1
We give a microscopic derivation of time-dependent correlation functions of the cubic nonlinear Schrödinger equation (NLS) from many-body quantum theory. The starting point of…