Gibbs measure as quantum ground states

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6 Citations (Scopus)


We study certain quantum spin systems which are equivalent to stochastic Ising models. We show that any translationally invariant quantum ground state is given by integration of Gibbs measure. The existence of mass gap is shown to be the same as exponentially fast convergence of stochastic models to invariant states.

Original languageEnglish
Pages (from-to)79-89
Number of pages11
JournalCommunications in Mathematical Physics
Issue number1
Publication statusPublished - Dec 1990
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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