Quantum work statistics of charged Dirac particles in time-dependent fields

Deffner, Sebastian; Saxena, Avadh

doi:10.1103/PhysRevE.92.032137

Title: Quantum work statistics of charged Dirac particles in time-dependent fields

Journal Article · Mon Sep 28 04:00:00 UTC 2015 · Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

DOI: https://doi.org/10.1103/PhysRevE.92.032137 · OSTI ID:1233562

Deffner, Sebastian ^[1]; Saxena, Avadh ^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

The quantum Jarzynski equality is an important theorem of modern quantum thermodynamics. We show that the Jarzynski equality readily generalizes to relativistic quantum mechanics described by the Dirac equation. After establishing the conceptual framework we solve a pedagogical, yet experimentally relevant, system analytically. As a main result we obtain the exact quantum work distributions for charged particles traveling through a time-dependent vector potential evolving under Schrödinger as well as under Dirac dynamics, and for which the Jarzynski equality is verified. Thus, special emphasis is put on the conceptual and technical subtleties arising from relativistic quantum mechanics.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1233562

Report Number(s):: LA--UR-15-24887

Journal Information:: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, Journal Name: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics Journal Issue: 3 Vol. 92; ISSN 1539-3755; ISSN PLEEE8

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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