Spectral gap, and split property in quantum spin chains

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    10 Citations (Scopus)


    In this article, we consider a class of ground states with spectral gap for quantum spin chains on an integer lattice and we prove that the factorization lemma of Hastings ["Topology and phases in fermionic systems," J. Stat. Mech.: Theory Exp.2008, L01001] implies split property (weak statistical independence) of left and right semi-infinite subsystems.

    Original languageEnglish
    Article number017091JMP
    JournalJournal of Mathematical Physics
    Issue number1
    Publication statusPublished - Jan 1 2010

    All Science Journal Classification (ASJC) codes

    • Statistical and Nonlinear Physics
    • Mathematical Physics


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