A uniform area law for the entanglement of eigenstates in the disordered XY chain

Houssam Abdul-Rahman, Günter Stolz

Research output: Contribution to journalArticle

Abstract

We consider the isotropic or anisotropic XY spin chain in the presence of a transversal random magnetic field, with parameters given by random variables. It is shown that eigenfunction correlator localization of the corresponding effective one-particle Hamiltonian implies a uniform area law bound in expectation for the bipartite entanglement entropy of all eigenstates of the XY chain, i.e., a form of many-body localization at all energies. Here, entanglement with respect to arbitrary connected subchains of the chain can be considered. Applications where the required eigenfunction correlator bounds are known include the isotropic XY chain in random field as well as the anisotropic chain in strong or strongly disordered random field.

Original languageEnglish (US)
Article number121901
JournalJournal of Mathematical Physics
Volume56
Issue number12
DOIs
StatePublished - Dec 1 2015

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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