Fluctuations and stochastic processes in one-dimensional many-body quantum systems
Quantum Gases
2010-07-16 v2 Quantum Physics
Abstract
We study the fluctuation properties of a one-dimensional many-body quantum system composed of interacting bosons, and investigate the regimes where quantum noise or, respectively, thermal excitations are dominant. For the latter we develop a semiclassical description of the fluctuation properties based on the Ornstein-Uhlenbeck stochastic process. As an illustration, we analyze the phase correlation functions and the full statistical distributions of the interference between two one-dimensional systems, either independent or tunnel-coupled and compare with the Luttinger-liquid theory.
Cite
@article{arxiv.0910.5337,
title = {Fluctuations and stochastic processes in one-dimensional many-body quantum systems},
author = {H. -P. Stimming and N. J. Mauser and J. Schmiedmayer and I. E. Mazets},
journal= {arXiv preprint arXiv:0910.5337},
year = {2010}
}
Comments
4 pages (revtex4), 4 color figures. Text substantially rewritten, two figures added