Semiclassical work and quantum work identities in Weyl representation

O. Brodier; K. Mallick; A. M. Ozorio De Almeida

doi:10.1088/1751-8121/ab8110

Semiclassical work and quantum work identities in Weyl representation

O. Brodier
, K. Mallick
, A. M. Ozorio De Almeida

Research output: Contribution to journal › Article › peer-review

Abstract

We derive a semiclassical nonequilibrium work identity by applying the Wigner-Weyl quantization scheme to the Jarzynski identity for a classical Hamiltonian. This allows us to extend the concept of work to the leading order in ℏ. We propose a geometric interpretation of this semiclassical Jarzynski relation in terms of trajectories in a complex phase space and illustrate it with the exactly solvable case of the quantum harmonic oscillator.

Original language	English
Article number	325001
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	53
Issue number	32
DOIs	https://doi.org/10.1088/1751-8121/ab8110
Publication status	Published - 14 Aug 2020
Externally published	Yes

Keywords

Jarzynski identity
Weyl quantization
quantum thermodynamics
semiclassics

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10.1088/1751-8121/ab8110

Cite this

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title = "Semiclassical work and quantum work identities in Weyl representation",

abstract = "We derive a semiclassical nonequilibrium work identity by applying the Wigner-Weyl quantization scheme to the Jarzynski identity for a classical Hamiltonian. This allows us to extend the concept of work to the leading order in ℏ. We propose a geometric interpretation of this semiclassical Jarzynski relation in terms of trajectories in a complex phase space and illustrate it with the exactly solvable case of the quantum harmonic oscillator.",

keywords = "Jarzynski identity, Weyl quantization, quantum thermodynamics, semiclassics",

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AU - Mallick, K.

AU - Ozorio De Almeida, A. M.

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Y1 - 2020/8/14

N2 - We derive a semiclassical nonequilibrium work identity by applying the Wigner-Weyl quantization scheme to the Jarzynski identity for a classical Hamiltonian. This allows us to extend the concept of work to the leading order in ℏ. We propose a geometric interpretation of this semiclassical Jarzynski relation in terms of trajectories in a complex phase space and illustrate it with the exactly solvable case of the quantum harmonic oscillator.

AB - We derive a semiclassical nonequilibrium work identity by applying the Wigner-Weyl quantization scheme to the Jarzynski identity for a classical Hamiltonian. This allows us to extend the concept of work to the leading order in ℏ. We propose a geometric interpretation of this semiclassical Jarzynski relation in terms of trajectories in a complex phase space and illustrate it with the exactly solvable case of the quantum harmonic oscillator.

KW - Jarzynski identity

KW - Weyl quantization

KW - quantum thermodynamics

KW - semiclassics

UR - https://www.scopus.com/pages/publications/85091233069

U2 - 10.1088/1751-8121/ab8110

DO - 10.1088/1751-8121/ab8110

M3 - Article

AN - SCOPUS:85091233069

SN - 1751-8113

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JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 32

M1 - 325001

ER -

Semiclassical work and quantum work identities in Weyl representation

Abstract

Keywords

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