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Dynamical and thermodynamical approaches to open quantum systems.

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This study explores non-Markovian dynamics in open quantum systems using traditional and novel thermodynamic approaches. The findings compare these methods, offering new insights into quantum system evolution.

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Area of Science:

  • Quantum Physics
  • Thermodynamics
  • Statistical Mechanics

Background:

  • Open quantum systems exhibit complex dynamics influenced by their environment.
  • Traditional methods often involve tracing out environmental degrees of freedom.
  • Non-equilibrium thermodynamics offers alternative frameworks for system description.

Purpose of the Study:

  • To investigate non-Markovian dynamics of open quantum systems from two distinct perspectives.
  • To compare the traditional tracing-out method with a thermodynamical approximation based on maximal entropy.
  • To analyze the influence of information and Renyi entropies on these approximations.

Main Methods:

  • Utilizing the time-convolutionless master equation for both traditional and approximated reduced density operators.
  • Applying the principle of maximal entropy for thermodynamical approximation.
  • Employing information and Renyi entropies to derive different approximations.
  • Analyzing the dynamics of two interacting qubits in a thermal environment as a specific case study.

Main Results:

  • Both traditional and thermodynamical approaches are governed by the time-convolutionless master equation.
  • Different choices of entropy (information vs. Renyi) lead to distinct approximations.
  • The study provides a comparative analysis of the two methodologies using a concrete quantum system example.

Conclusions:

  • The thermodynamical approach offers a viable alternative for studying open quantum system dynamics.
  • The choice of entropy significantly impacts the accuracy and nature of the approximated dynamics.
  • This work highlights the interplay between quantum information theory and non-equilibrium thermodynamics.