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Gradient Echo Quantum Memory in Warm Atomic Vapor
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Published on: November 11, 2013

Structure of completely positive quantum master equations with memory kernel.

Heinz-Peter Breuer1, Bassano Vacchini

  • 1Physikalisches Institut, Universität Freiburg, Hermann-Herder-Strasse 3, D-79104 Freiburg, Germany. breuer@physik.uni-freiburg.de

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 13, 2009
PubMed
Summary
This summary is machine-generated.

This study extends semi-Markov processes to quantum dynamics, creating quantum master equations with memory kernels. This provides conditions for complete positivity in quantum dynamical maps, aiding the study of open quantum systems.

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Area of Science:

  • Quantum physics
  • Probability theory

Background:

  • Semi-Markov processes are established in classical probability.
  • Understanding non-Markovian quantum dynamics is crucial for open quantum systems.

Purpose of the Study:

  • To extend semi-Markov processes to the quantum regime.
  • To develop quantum master equations with memory kernels.
  • To establish conditions for complete positivity of quantum dynamical maps.

Main Methods:

  • Developing a quantum extension of semi-Markov processes.
  • Formulating quantum master equations incorporating memory kernels.
  • Analyzing explicit examples of the developed dynamics.

Main Results:

  • Successfully extended semi-Markov processes to quantum dynamics.
  • Derived quantum master equations with memory kernels.
  • Provided explicit conditions for complete positivity of quantum dynamical maps.
  • Gained insights into the structural characterization of non-Markovian quantum dynamics.

Conclusions:

  • The developed quantum semi-Markov processes offer a novel framework for studying open quantum systems.
  • The memory kernels in quantum master equations are key to understanding non-Markovian dynamics.
  • The established conditions for complete positivity are vital for theoretical and experimental advancements.