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Adrián A Budini1

  • 1Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Centro Atómico Bariloche, Avenida E. Bustillo Km 9.5, (8400) Bariloche, Argentina and Universidad Tecnológica Nacional (UTN-FRBA), Fanny Newbery 111, (8400) Bariloche, Argentina.

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Area of Science:

  • Quantum mechanics
  • Quantum information theory
  • Open quantum systems

Background:

  • Phenomenological post-Markovian quantum master equations are widely used.
  • Previous derivations often rely on perturbative approximations.
  • Understanding non-Markovian dynamics is crucial for quantum technologies.

Purpose of the Study:

  • To derive commonly used post-Markovian quantum master equations without perturbative approximations.
  • To investigate the conditions leading to non-Markovian effects in quantum systems.
  • To formulate a non-Markovian quantum jump approach.

Main Methods:

  • Modeling a system coupled to an environment with classical configurational fluctuations.
  • Utilizing bipartite Markovian Lindblad dynamics with an ancilla system.
  • Tracing out environmental degrees of freedom.

Main Results:

  • Successfully derived Shabani-Lidar equation and its approximated kernel master equation without perturbation.
  • Identified conditions for non-Markovian system dynamics unraveling via measurement trajectories.
  • Formulated a non-Markovian quantum jump approach.
  • Demonstrated environment-to-system information backflow in non-commuting systems.

Conclusions:

  • The derived master equations offer a non-perturbative route to study open quantum systems.
  • Non-Markovian effects, including information backflow, can arise even with exponential memory functions.
  • The study provides a framework for simulating non-Markovian dynamics using quantum jump methods.