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Quantum jump model for a system with a finite-size environment.

S Suomela1, A Kutvonen1, T Ala-Nissila1,2

  • 1Department of Applied Physics and COMP Centre of Excellence, Aalto University School of Science, P.O. Box 11100, 00076 Aalto, Finland.

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Measuring thermodynamic properties of open quantum systems is challenging. A new quantum jump model accounts for finite environments, validating fluctuation relations in quantum thermodynamics.

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Area of Science:

  • Quantum thermodynamics
  • Quantum measurement
  • Statistical mechanics

Background:

  • Measuring thermodynamic properties of open quantum systems is experimentally challenging.
  • Calorimetric detection is a proposed method for measuring work and fluctuation relations.
  • Standard stochastic methods fail when the environment has a finite size, affecting system dynamics.

Purpose of the Study:

  • To develop a quantum jump model applicable to systems interacting with finite-size environments.
  • To address the limitations of standard stochastic approaches in open quantum systems.
  • To investigate fluctuation relations in the context of finite environments.

Main Methods:

  • Development of a novel quantum jump model.
  • Modeling quantum systems coupled to a finite-size environment.
  • Application of the model to study fluctuation relations.

Main Results:

  • A quantum jump model suitable for finite-size environments was successfully developed.
  • The model was used to analyze common fluctuation relations.
  • The study proved that the fluctuation relations are satisfied within this model.

Conclusions:

  • The developed quantum jump model provides a viable framework for studying open quantum systems with finite environments.
  • This approach overcomes the limitations of standard stochastic methods.
  • The findings confirm the validity of fluctuation relations in these more realistic quantum systems.