Gibbs measure as quantum ground states |
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| Authors: | T Matsui |
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| Institution: | (1) CNRS Luminy, Case 907, F-13288 Marseille, France;(2) Present address: Department of Mathematics, Tokyo Metropolitan University, Tokyo, Japan |
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| Abstract: | 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. |
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