Anomalous Behavior of Magnetic Susceptibility Obtained by Quench Experiments in Isolated Quantum Systems

Yuuya Chiba, Kenichi Asano, and Akira Shimizu
Phys. Rev. Lett. 124, 110609 – Published 20 March 2020
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Abstract

We examine how the magnetic susceptibility obtained by the quench experiment on isolated quantum systems is related to the isothermal and adiabatic susceptibilities defined in thermodynamics. Under the conditions similar to the eigenstate thermalization hypothesis, together with some additional natural ones, we prove that for translationally invariant systems the quench susceptibility as a function of wave vector k is discontinuous at k=0. Moreover, its values at k=0 and the k0 limit coincide with the adiabatic and the isothermal susceptibilities, respectively. We give numerical predictions on how these particular behaviors can be observed in experiments on the XYZ spin chain with tunable parameters, and how they deviate when the conditions are not fully satisfied.

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  • Received 6 November 2019
  • Accepted 26 February 2020

DOI:https://doi.org/10.1103/PhysRevLett.124.110609

© 2020 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & ThermodynamicsAtomic, Molecular & OpticalCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Yuuya Chiba1,2,*, Kenichi Asano3,†, and Akira Shimizu1,2,‡

  • 1Komaba Institute for Science, The University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo 153-8902, Japan
  • 2Department of Basic Science, The University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo 153-8902, Japan
  • 3Center for Education in Liberal Arts and Sciences, Osaka University, Toyonaka, Osaka 560-0043, Japan

  • *chiba@as.c.u-tokyo.ac.jp
  • asano@celas.osaka-u.ac.jp
  • shmz@as.c.u-tokyo.ac.jp

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Issue

Vol. 124, Iss. 11 — 20 March 2020

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