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arXiv · 0910.5337

Fluctuations and stochastic processes in one-dimensional many-body quantum systems

H. -P. Stimming·N. J. Mauser·J. Schmiedmayer·I. E. Mazets
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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.

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H. -P. Stimming, N. J. Mauser, J. Schmiedmayer, I. E. Mazets. 2010-07-15. Fluctuations and stochastic processes in one-dimensional many-body quantum systems. https://doi.org/10.1103/physrevlett.105.015301

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