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      Work statistics for sudden quenches in interacting quantum many-body systems.

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          Abstract

          Work in isolated quantum systems is a random variable and its probability distribution function obeys the celebrated fluctuation theorems of Crooks and Jarzynski. In this study, we provide a simple way to describe the work probability distribution function for sudden quench processes in quantum systems with large Hilbert spaces. This description can be constructed from two elements: the level density of the initial Hamiltonian, and a smoothed strength function that provides information about the influence of the perturbation over the eigenvectors in the quench process, and is especially suited to describe quantum many-body interacting systems. We also show how random models can be used to find such smoothed work probability distribution and apply this approach to different one-dimensional spin-1/2 chain models. Our findings provide an accurate description of the work distribution of such systems in the cases of intermediate and high temperatures in both chaotic and integrable regimes.

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          Author and article information

          Journal
          Phys Rev E
          Physical review. E
          American Physical Society (APS)
          2470-0053
          2470-0045
          Nov 2019
          : 100
          : 5-1
          Affiliations
          [1 ] Instituto de Física, Universidade Federal do Rio de Janeiro, 21941-972 Rio de Janeiro, Brazil.
          [2 ] Departamento de Física "J. J. Giambiagi" and IFIBA, FCEyN, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina.
          Article
          10.1103/PhysRevE.100.052136
          31869952
          bc728ee7-e1f9-481a-8e61-f24a44698dd0
          History

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