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Quasiprobability Thermodynamic Uncertainty Relation.

Kohei Yoshimura1,2, Ryusuke Hamazaki1,3

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Physical Review Letters
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Summary
This summary is machine-generated.

This study introduces a quantum thermodynamic uncertainty relation using quasiprobabilities. Anomalous quasiprobability behaviors, like negativity, are key to surpassing classical limits in quantum systems.

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Area of Science:

  • Quantum Thermodynamics
  • Statistical Mechanics
  • Quantum Information Theory

Background:

  • The thermodynamic uncertainty relation connects fluctuations and dissipation in classical systems.
  • Existing quantum extensions focus on charge exchange and initial coherence.
  • Classical systems are limited by joint probability distributions.

Purpose of the Study:

  • To derive a quantum extension of the thermodynamic uncertainty relation using quasiprobabilities.
  • To explore the role of anomalous quasiprobability behaviors in enhancing thermodynamic efficiencies.
  • To investigate the connection between quasiprobability negativity and dissipationless currents.

Main Methods:

  • Derivation of a quantum thermodynamic uncertainty relation.
  • Quantification of dynamical fluctuations using Terletsky-Margenau-Hill quasiprobability.
  • Analysis of a model exhibiting dissipationless heat currents.

Main Results:

  • The derived inequality complements existing quantum thermodynamic uncertainty relations by focusing on observable changes.
  • Quasiprobability negativity or enhanced escape rates are necessary for output-to-dissipation ratios exceeding classical limits.
  • Basis independence and requirements stronger than quantum coherence were demonstrated.

Conclusions:

  • Anomalous quasiprobability behaviors are crucial for achieving non-classical thermodynamic efficiencies.
  • Dissipationless heat currents are possible in quantum systems but depend on specific quasiprobability properties.
  • Quantum coherence alone does not guarantee enhanced thermodynamic performance without anomalous quasiprobability features.