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Evolution Equations for Quantum Semi-Markov Dynamics.

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  • 1Dipartimento di Fisica "Aldo Pontremoli", Università degli Studi di Milano, via Celoria 16, 20133 Milan, Italy.

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Summary
This summary is machine-generated.

This study explores quantum semi-Markov processes, revealing how approximations lead to Markovian dynamics. It analyzes dephasing in open quantum systems, connecting local and non-local descriptions.

Keywords:
divisibilitymaster equationsmemory kernelnon-Markovianity

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Area of Science:

  • Quantum Physics
  • Open Quantum Systems
  • Quantum Information Theory

Background:

  • Investigating open quantum system dynamics is crucial for understanding quantum phenomena.
  • The distinction between local and non-local descriptions of quantum evolution presents theoretical challenges.
  • Quantum semi-Markov processes offer a generalized framework for quantum dynamics.

Purpose of the Study:

  • To explore the connection between local and non-local descriptions of open quantum system dynamics.
  • To analyze the emergence of dephasing terms in quantum semi-Markov processes.
  • To investigate approximated dynamics and their Markovian nature.

Main Methods:

  • Utilizing a novel connection between local and non-local descriptions.
  • Analyzing quantum semi-Markov processes, a generalization of classical semi-Markov processes.
  • Examining Redfield-like approximated dynamics through coarse-graining in time.

Main Results:

  • Demonstrated the emergence of a dephasing term when transitioning between local and non-local descriptions.
  • Showcased this phenomenon through several illustrative examples.
  • Proved that time-coarse-grained approximations invariably result in Markovian evolution for these dynamics.

Conclusions:

  • The study establishes a clear link between different descriptions of open quantum system dynamics.
  • Approximated dynamics in quantum semi-Markov processes are shown to be inherently Markovian.
  • This work provides insights into the behavior of quantum systems in both Markovian and non-Markovian regimes.