Equilibrium Analysis of a Dissipative Fermion System

Abstract

A model of an open system of fermion particles submitted to a constant magnetic field and immersed in a reservoir of phonons is considered within this article. The focus is set on the large time behavior of this system, the purpose being to illustrate the methods of Quantum Markov Semigroup Theory. After providing sufficient conditions to ensure the existence of the semigroup, this report goes through the construction of stationary states, the analysis of the equilibrium via detailed balance conditions. Ergodic behavior of the system is obtained as a byproduct of the above.