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A Wigner Quasiprobability Distribution of Work.

Federico Cerisola1,2,3,4, Franco Mayo1,2, Augusto J Roncaglia1,2

  • 1Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires C1428EGA, Argentina.

Entropy (Basel, Switzerland)
|October 28, 2023
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Summary
This summary is machine-generated.

We introduce a quasiprobability distribution for work based on the Wigner function, enabling coherent measurement of work in quantum systems. This method reveals non-classical features and provides operational definitions for experimental verification.

Keywords:
quantum coherencequantum thermodynamicswork statistics

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Area of Science:

  • Quantum mechanics
  • Statistical mechanics
  • Quantum information theory

Background:

  • The accurate quantification of work in quantum systems is a fundamental challenge.
  • Existing methods often lack operational definitions or struggle with quantum coherence.

Purpose of the Study:

  • To introduce a novel quasiprobability distribution for work based on the Wigner function.
  • To provide an operationally defined and experimentally measurable approach to work statistics in quantum systems.
  • To explore the connection between quantum coherence and non-classical features in work distributions.

Main Methods:

  • Defining a quasiprobability distribution for work using the Wigner function of a coupled quantum measurement apparatus.
  • Analyzing the properties of this quasidistribution, including its relation to work statistics and experimental measurability.
  • Investigating the influence of quantum coherence on the Wigner function and the resulting work distribution.

Main Results:

  • A Wigner function-based quasiprobability distribution for work is established.
  • This distribution offers a clear operational definition for direct experimental measurement.
  • Quantum coherence in the energy eigenbasis is linked to non-classical Wigner function features like negativity and interference fringes.
  • The standard two-point measurement work distribution and average energy differences can be derived from this quasiprobability distribution.

Conclusions:

  • The proposed Wigner function-based quasiprobability distribution provides a powerful tool for characterizing work in quantum systems.
  • It bridges theoretical concepts with experimental capabilities, allowing for direct measurement of work statistics.
  • The study highlights the fundamental role of quantum coherence in manifesting non-classical phenomena in quantum thermodynamics.