title: Fluctuations and stochastic processes in one-dimensional many-body quantum systems.
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.
authors.affiliation: Wolfgang Pauli Institute c/o Universität Wien, Nordbergstrasse 15, 1090 Vienna, Austria.
authors.forename: H-P
authors.initials: HP
authors.lastname: Stimming
authors.forename: N J
authors.initials: NJ
authors.lastname: Mauser
authors.forename: J
authors.initials: J
authors.lastname: Schmiedmayer
authors.forename: I E
authors.initials: IE
authors.lastname: Mazets