Generalized eigenstate typicality in translation-invariant quasifree fermionic models

Jonathon Riddell and Markus P. Müller
Phys. Rev. B 97, 035129 – Published 16 January 2018

Abstract

We demonstrate a generalized notion of eigenstate thermalization for translation-invariant quasifree fermionic models: the vast majority of eigenstates satisfying a finite number of suitable constraints (e.g., fixed energy and particle number) have the property that their reduced density matrix on small subsystems approximates the corresponding generalized Gibbs ensemble. To this end, we generalize analytic results by H. Lai and K. Yang [Phys. Rev. B 91, 081110(R) (2015)] and illustrate the claim numerically by example of the Jordan-Wigner transform of the XX spin chain.

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  • Received 19 October 2017
  • Revised 3 January 2018

DOI:https://doi.org/10.1103/PhysRevB.97.035129

©2018 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & ThermodynamicsCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Jonathon Riddell1,* and Markus P. Müller2,1,3,4

  • 1Department of Applied Mathematics, University of Western Ontario, London, Ontario N6A 5BY, Canada
  • 2Institute for Quantum Optics and Quantum Information, Austrian Academy of Sciences, Boltzmanngasse 3, A-1090 Vienna, Austria
  • 3Department of Philosophy, University of Western Ontario, London, Ontario N6A 5BY, Canada
  • 4Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada

  • *riddeljp@mcmaster.ca

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Vol. 97, Iss. 3 — 15 January 2018

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