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Fluctuations and Stochastic Processes in One-Dimensional Many-Body Quantum Systems

2009/10/31 by Hans Peter Stimming, H. -P. Stimming, N. J. Mauser +4 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics #Quantum #Quantum many-body systems #Quantum mechanics #Quantum, superfluid, helium dynamics #Statistical physics #cond-mat.quant-gas #quant-ph

paper · pdf · doi:10.1103/physrevlett.105.015301

published as Phys. Rev. Lett. 105, 015301 (2010) · 4 pages (revtex4), 4 color figures. Text substantially rewritten, two figures added

openalex publication_date 2010/07/01 · arxiv created 2010/07/15 · arxiv updated 2010/07/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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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