Entanglement Dynamics of Disordered Quantum XY Chains

Houssam Abdul-Rahman, Bruno Nachtergaele, Robert Sims, Günter Stolz

Research output: Contribution to journalArticle

Abstract

We consider the dynamics of the quantum XY chain with disorder under the general assumption that the expectation of the eigenfunction correlator of the associated one-particle Hamiltonian satisfies a decay estimate typical of Anderson localization. We show that, starting from a broad class of product initial states, entanglement remains bounded for all times. For the XX chain, we also derive bounds on the particle transport which, in particular, show that the density profile of initial states that consist of fully occupied and empty intervals only have significant dynamics near the edges of those intervals, uniformly for all times.

Original languageEnglish (US)
Pages (from-to)649-674
Number of pages26
JournalLetters in Mathematical Physics
Volume106
Issue number5
DOIs
StatePublished - May 1 2016

Keywords

  • disordered systems
  • many-body localization
  • quantum entanglement
  • XY spin chain

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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