Gibbs measure as quantum ground states

T. Matsui

doi:10.1007/BF02097657

Gibbs measure as quantum ground states

T. Matsui

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

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.

Original language	English
Pages (from-to)	79-89
Number of pages	11
Journal	Communications in Mathematical Physics
Volume	135
Issue number	1
DOIs	https://doi.org/10.1007/BF02097657
Publication status	Published - Dec 1990
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF02097657

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title = "Gibbs measure as quantum ground states",

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.",

author = "T. Matsui",

year = "1990",

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AU - Matsui, T.

PY - 1990/12

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AB - 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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IS - 1

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Gibbs measure as quantum ground states

Abstract

All Science Journal Classification (ASJC) codes

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