A Lindblad model for a spin chain coupled to heat baths

TL;DR

This paper develops a Lindblad model for a spin chain coupled to heat baths, deriving explicit quantum master equations and analyzing their properties like equilibrium states and entropy production.

Contribution

It provides an explicit Lindblad generator for the XY spin chain coupled to multiple heat baths, advancing the understanding of open quantum system dynamics.

Findings

Derivation of explicit Lindblad operators for the model

Analysis of approach to equilibrium and local states

Investigation of entropy production and detailed balance

Abstract

We study a XY model which consists of a spin chain coupled to heat baths. We give a repeated quantum interaction Hamiltonian describing this model. We compute the explicit form of the associated Lindblad generator in the case of the spin chain coupled to one, two and several heat baths. We further study the properties of quantum master equation such as approach to equilibrium, local equilibrium states, entropy production and quantum detailed balance condition.