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Nonequilibrium potential and fluctuation theorems for quantum maps.

Gonzalo Manzano1,2, Jordan M Horowitz3, Juan M R Parrondo1

  • 1Departamento de Física Atómica, Molecular y Nuclear and GISC, Universidad Complutense Madrid, 28040 Madrid, Spain.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 15, 2015
PubMed
Summary
This summary is machine-generated.

We developed a general fluctuation theorem for quantum maps, unifying various quantum dynamics like decoherence and thermalization. This new theorem extends existing concepts to quantum nonequilibrium processes and clarifies environmental influences on open quantum systems.

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Area of Science:

  • Quantum Physics
  • Statistical Mechanics
  • Information Theory

Background:

  • Fluctuation theorems are crucial for understanding nonequilibrium statistical mechanics.
  • Existing theorems often apply to specific quantum processes or classical systems.
  • Open quantum systems exhibit complex dynamics influenced by their environment.

Purpose of the Study:

  • To derive a general fluctuation theorem applicable to a wide range of quantum dynamics.
  • To unify existing fluctuation theorems within a single framework.
  • To extend fluctuation theorems to quantum nonequilibrium processes and elucidate environmental effects.

Main Methods:

  • Derivation of a general fluctuation theorem for quantum maps.
  • Application of the theorem to various quantum dynamics, including unitary evolution and decoherence.
  • Analysis of open quantum systems and their environmental interactions.

Main Results:

  • A unified framework for quantum fluctuation theorems is established.
  • The generalized theorem encompasses unitary evolution, decoherence, and thermalization.
  • The Hatano-Sasa theorem is extended to quantum nonequilibrium scenarios.
  • New insights into the role of the environment in open quantum system dynamics are provided.

Conclusions:

  • The derived general fluctuation theorem offers a powerful tool for studying quantum open systems.
  • It simplifies and unifies diverse quantum dynamical processes under a single theoretical umbrella.
  • The work advances the understanding of thermodynamics and information flow in nonequilibrium quantum systems.