Large deviations in quantum lattice systems: one-phase region
Marco Lenci, Luc Rey-Bellet
TL;DR
This paper establishes large deviation upper bounds and discusses lower bounds for quantum lattice systems' Gibbs-KMS states, covering general interactions and observables in high temperature and one-dimensional regimes.
Contribution
It provides the first comprehensive large deviation bounds for quantum lattice systems with general interactions and observables in specific regimes.
Findings
Established large deviation upper bounds for quantum Gibbs states.
Discussed potential lower bounds for these states.
Applicable to high temperature and one-dimensional systems.
Abstract
We give large deviation upper bounds, and discuss lower bounds, for the Gibbs-KMS state of a system of quantum spins or an interacting Fermi gas on the lattice. We cover general interactions and general observables, both in the high temperature regime and in dimension one.
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