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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