Eigenstate thermalization hypothesis and quantum Jarzynski relation for pure initial states

F. Jin, R. Steinigeweg, H. De Raedt, K. Michielsen, M. Campisi, and J. Gemmer
Phys. Rev. E 94, 012125 – Published 18 July 2016

Abstract

Since the first suggestion of the Jarzynski equality many derivations of this equality have been presented in both the classical and the quantum context. While the approaches and settings differ greatly from one another, they all appear to rely on the condition that the initial state is a thermal Gibbs state. Here, we present an investigation of work distributions in driven isolated quantum systems, starting from pure states that are close to energy eigenstates of the initial Hamiltonian. We find that, for the nonintegrable quantum ladder studied, the Jarzynski equality is fulfilled to a good accuracy.

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  • Received 8 March 2016
  • Revised 17 May 2016

DOI:https://doi.org/10.1103/PhysRevE.94.012125

©2016 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

F. Jin1,*, R. Steinigeweg2,†, H. De Raedt3, K. Michielsen1,4, M. Campisi5,‡, and J. Gemmer2,§

  • 1Institute for Advanced Simulation, Jülich Supercomputing Centre, Forschungszentrum Jülich, D-52425 Jülich, Germany
  • 2Department of Physics, University of Osnabrück, D-49069 Osnabrück, Germany
  • 3Zernike Institute for Advanced Materials, University of Groningen, NL-9747AG Groningen, The Netherlands
  • 4RWTH Aachen University, D-52056 Aachen, Germany
  • 5NEST, Scuola Normale Superiore & Istituto Nanoscienze-CNR, I-56126 Pisa, Italy

  • *f.jin@fz-juelich.de
  • rsteinig@uos.de
  • michele.campisi@sns.it
  • §jgemmer@uos.de

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Issue

Vol. 94, Iss. 1 — July 2016

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