Onset of Fokker-Planck dynamics within a Closed Finite Spin System
Quantum Physics
2015-06-12 v1 Statistical Mechanics
Abstract
Relaxation according to Fokker-Planck equations is a standard scenario in classical statistical mechanics. It is however not obvious how such an equilibration may emerge within a closed, finite quantum system. We present an analytical and numerical analysis of a system comprising sixteen spins in which spatial inhomogeneities of the magnetization relax approximately in accord with a standard Fokker-Planck equation for a Brownian particle in a parabolic potential.
Keywords
Cite
@article{arxiv.1211.3265,
title = {Onset of Fokker-Planck dynamics within a Closed Finite Spin System},
author = {Hendrik Niemeyer and Daniel Schmidke and Jochen Gemmer},
journal= {arXiv preprint arXiv:1211.3265},
year = {2015}
}