On the Fluctuations of Macroscopic Observables in Quantum Nonequilibrium Steady States
arXiv:math-ph/0701070
Abstract
The fluctuations of macroscopic observables in quantum systems which are in a nonequilibrium steady state are studied rigorously in the thermodynamic limit. In particular, the nonequilibrium steady state (NESS) of a quantum spin system that is composed of two infinite reservoirs at different temperatures coupled in a bounded region is considered. Under suitable assumptions on the interaction and the asymptotics of the fluctuations, a nonequilibrium central limit theorem for the fluctuations of the NESS expectation value of the empirical average of observables is proven by showing the analyticity of the corresponding moment generating function in a neighbourhood of the origin using the cluster expansion method. Furthermore, the large deviation principle is proven for a class of observables by establishing the existence and differentiability of the corresponding moment generating function.
21 pages
References in corpus (6)
- Large Deviation of the Density Profile in the Steady State of the Open Symmetric Simple Exclusion Process
- Exact Free Energy Functional for a Driven Diffusive Open Stationary Nonequilibrium System
- Entropy production in quantum spin systems
- Dissipative Transport: Thermal Contacts and Tunnelling Junctions
- Large deviations for quantum spin systems
- Large deviations for ideal quantum systems