Non equilibrium stationary states of a dissipative kicked linear chain of spins

TL;DR

This paper investigates non-equilibrium stationary states in a dissipative spin chain subjected to periodic kicks, revealing stationary entanglement and analyzing effects of temperature through an approximate master equation.

Contribution

It introduces an approximation to the master equation for analyzing non-equilibrium states in a dissipative spin chain under periodic kicks, including effects of finite temperature.

Findings

System reaches non-equilibrium stationary states under periodic kicks.

Stationary entanglement emerges between kicked qubits with simultaneous kicks.

Finite temperature effects are analyzed using the derived master equation.

Abstract

We consider a linear chain made of spins of one half in contact with a dissipative environment for which periodic delta-kicks are applied to the qubits of the linear chain in two different configurations: kicks applied to a single qubit and simultaneous kicks applied to two qubits of the linear chain. In both cases the system reaches a non-equilibrium stationary condition in the long time limit. We study the transient to the quasi stationary states and their properties as function of the kick parameters in the single kicked qubit case and report the emergence of stationary entanglement between the kicked qubits when simultaneous kicks are applied. For doing our study we have derived an approximation to a master equation which serves us to analyze the effects of a finite temperature and the zero temperature environment.