Perturbation Analysis of Quantum Reset Models

Géraldine Haack (1) , Alain Joye (2)

1 UNIGE - Université de Genève = University of Geneva
2 IF - Institut Fourier

This paper is devoted to the analysis of Lindblad operators describing the effective dynamics of tri-partite quantum systems derived from repeated-collision models, known as Quantum Reset Models. We consider a chain of three independent subsystems, coupled by an 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 an 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.

Domaines: Physique mathématique [math-ph]

Géraldine Haack, Alain Joye. Perturbation Analysis of Quantum Reset Models. Journal of Statistical Physics, 2021, 183, pp.17. ⟨10.1007/s10955-021-02752-y⟩. ⟨hal-02960881⟩