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Quantum heat distribution in thermal relaxation processes.

D S P Salazar1, A M S Macêdo2, G L Vasconcelos3

  • 1Unidade de Educação a Distância e Tecnologia, Universidade Federal Rural de Pernambuco, 52171-900 Recife, Pernambuco, Brazil.

Physical Review. E
|April 3, 2019
PubMed
Summary
This summary is machine-generated.

This study analyzes heat exchange in open quantum systems during thermal relaxation with changing temperatures. It provides a new formula for heat distribution, applicable to various quantum systems and validated in the semiclassical limit.

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Area of Science:

  • Quantum thermodynamics
  • Statistical mechanics
  • Open quantum systems

Background:

  • Understanding heat exchange in quantum systems is crucial for developing quantum technologies.
  • Thermal relaxation processes in open quantum systems are often complex and depend on environmental interactions.

Purpose of the Study:

  • To analyze the heat exchange distribution in open quantum systems undergoing thermal relaxation.
  • To derive a general expression for the heat moment generating function applicable to time-dependent effective temperatures.

Main Methods:

  • Utilized a two-point measurement scheme to analyze heat exchange.
  • Derived an expression for the heat moment generating function based on the system's partition function and thermalization function.

Main Results:

  • Developed a formula for heat distribution in open quantum systems with time-dependent effective temperatures.
  • Derived closed-form expressions for heat distribution in free bosonic and fermionic modes.
  • Showed that such processes can arise from maximizing entropy production.

Conclusions:

  • The derived formula for heat distribution is broadly applicable to various quantum systems.
  • The findings are consistent with previous results in the semiclassical limit, validating the approach.
  • This work provides a theoretical framework for understanding heat exchange in non-equilibrium quantum thermodynamics.