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Quantifying Athermality and Quantum Induced Deviations from Classical Fluctuation Relations.

Zoë Holmes1, Erick Hinds Mingo1, Calvin Y-R Chen1

  • 1Controlled Quantum Dynamics Theory Group, Imperial College London, London SW7 2BW, UK.

Entropy (Basel, Switzerland)
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Summary
This summary is machine-generated.

This study explores quantum information theory to understand non-classical effects in fluctuation relations. It reveals how initial system athermality and energy supply coherence impact these relations, enhancing free energy suppression.

Keywords:
Crooks equalityathermalitybinomial statescoherencefluctuation relationgeneralised coherent statesphoton added thermal statephoton subtracted thermal statequantum thermodynamics

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Area of Science:

  • Quantum Information Theory
  • Statistical Mechanics
  • Quantum Thermodynamics

Background:

  • Classical fluctuation relations govern systems in thermal equilibrium.
  • Non-classical phenomena like quantum coherence and athermality can alter these relations.
  • Quantum information theory provides a framework to analyze these deviations.

Purpose of the Study:

  • To elucidate the quantum information theoretic framework for non-classical fluctuation relations.
  • To explore deviations from classical fluctuation relations due to system athermality and energy supply coherence.
  • To analyze the impact of photon addition/subtraction and binomial energy states on thermodynamic quantities.

Main Methods:

  • Development of Crooks-like equalities for oscillator systems in photon-added/subtracted thermal states.
  • Derivation of a Jarzynski-like equality for average work extraction.
  • Formulation of a Crooks-like equality for a binomial energy supply state.

Main Results:

  • Demonstrated how photon addition/subtraction amplifies free energy suppression by increasing informational content.
  • Derived a novel Crooks-like equality for a binomial energy supply, highlighting contributions from energy and coherence to irreversibility.
  • Showcased the richer feature-set of the binomial state equality compared to previous coherent state equalities.

Conclusions:

  • Quantum information theory offers a powerful lens to study non-classical thermodynamics.
  • System athermality and energy supply coherence significantly influence fluctuation relations and irreversibility.
  • Photon manipulation and specific energy states can be leveraged to enhance thermodynamic control and efficiency.