Quantitative Bounds on the Rate of Approach to Equilibrium for some One-Dimensional Stochastic Non-Linear Schrödinger Equations

Wednesday, 27 December, 2017

Published in: 

arXiv:1712.09588

We establish quantitative bounds on the rate of approach to equilibrium for a system with infinitely many degrees of freedom evolving according to a one-dimensional focusing nonlinear Schr\"odinger equation with diffusive forcing. Equilibrium is described by a generalized grand canonical ensemble. Our analysis also applies to the easier case of defocusing nonlinearities

Author(s): 

Eric A. Carlen
Jürg Fröhlich
Joel Lebowitz
Wei-Min Wang