A Lindblad model for a spin chain coupled to heat baths

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.

20 pages

References in corpus (2)

• Transport in open spin chains: A Monte Carlo wave-function approach
• Five Lectures On Dissipative Master Equations

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• Quantum-to-Classical Reduction of Quantum Master Equations
• Repeated interaction processes in the continuous-time limit, applied to quadratic fermionic systems
• Markovian approximation for Pauli Fierz operators
• Hierarchy of degenerate stationary states in a boundary-driven dipole-conserving spin chain