Perturbation Analysis of Quantum Reset Models

Abstract

This paper is devoted to the analysis of Lindblad operators of Quantum Reset Models, describing the effective dynamics of tri-partite quantum systems subject to stochastic resets. We consider a chain of three independent subsystems, coupled by a Hamiltonian term. The two subsystems at each end of the chain are driven, independently from each other, by a reset Lindbladian, while the center system is driven by a Hamiltonian. Under generic assumptions on the coupling term, we prove the existence of a unique steady state for the perturbed reset Lindbladian, analytic in the coupling constant. We further analyze the large times dynamics of the corresponding CPTP Markov semigroup that describes the approach to the steady state. We illustrate these results with concrete exemples corresponding to realistic open quantum systems.

38 pages, published version

References in corpus (3)

• Composite quantum collision models
• Implications of non-Markovian dynamics for the Landauer bound
• Entanglement and its dynamics in open, dissipative systems

Cited by in corpus (6)

• Signatures of Liouvillian exceptional points in a quantum thermal machine
• Instability in the quantum restart problem
• Stochastic resetting in discrete-time quantum dynamics: steady states and correlations in few-qubit systems
• Adiabatic Lindbladian Evolution with Small Dissipators
• Entropy Production of Quantum Reset Models
• Two-Time Measurement of Entropy Transfer in Markovian Quantum Dynamics