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