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Perturbation Analysis of Quantum Reset Models.

Géraldine Haack1, Alain Joye2

  • 1Department of Applied Physics, University of Geneva, Chemin de Pinchat 22, 1227 Carouge, Genève Switzerland.

Journal of Statistical Physics
|November 1, 2021
PubMed
Summary
This summary is machine-generated.

This study analyzes quantum reset models with Lindblad operators, revealing a unique steady state for tri-partite quantum systems. The research details the dynamics of these systems approaching equilibrium under stochastic resets.

Keywords:
Spectral analysis of Lindbladians; Markovian quantum dynamics; Quantum reset models

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Area of Science:

  • Quantum mechanics
  • Open quantum systems
  • Stochastic processes

Background:

  • Quantum reset models describe systems undergoing discrete, random resets.
  • Lindblad operators are crucial for modeling open quantum systems.
  • Tri-partite systems offer a complex platform for studying quantum dynamics.

Purpose of the Study:

  • To analyze Lindblad operators within Quantum Reset Models.
  • To investigate the dynamics of tri-partite quantum systems with stochastic resets.
  • To establish the existence and properties of steady states in such systems.

Main Methods:

  • Analysis of Lindblad operators for quantum reset models.
  • Modeling a chain of three coupled quantum subsystems.
  • Perturbation theory and analysis of CPTP Markov semigroups.

Main Results:

  • Proof of a unique steady state for the perturbed reset Lindbladian under generic coupling assumptions.
  • The steady state is analytic in the coupling constant.
  • Characterization of the large-time dynamics and approach to the steady state.

Conclusions:

  • The findings provide a theoretical framework for understanding quantum systems with stochastic resets.
  • The results are applicable to realistic open quantum systems.
  • This work advances the study of non-equilibrium quantum dynamics.