Abundance of translation invariant pure states on quantum spin chains

M. Fannes; B. Nachtergaele; R. F. Werner

doi:10.1007/BF00406552

Abundance of translation invariant pure states on quantum spin chains

M. Fannes
, B. Nachtergaele
, R. F. Werner

Institute of Theoretical Physics

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

Abstract

We construct a set of translation invariant pure states of a quantum spin chain, which is w*-dense in the set of all translation invariant states of the chain. Each of the approximating states has exponential decay of correlations, and is the unique ground state of a finite range Hamiltonian with a spectral gap above the ground state energy.

Original language	English
Pages (from-to)	249-258
Number of pages	10
Journal	Lett. Math. Phys.
Volume	25
Issue number	3
DOIs	https://doi.org/10.1007/BF00406552
Publication status	Published - 1992

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10.1007/BF00406552

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title = "Abundance of translation invariant pure states on quantum spin chains",

abstract = "We construct a set of translation invariant pure states of a quantum spin chain, which is w*-dense in the set of all translation invariant states of the chain. Each of the approximating states has exponential decay of correlations, and is the unique ground state of a finite range Hamiltonian with a spectral gap above the ground state energy.",

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AB - We construct a set of translation invariant pure states of a quantum spin chain, which is w*-dense in the set of all translation invariant states of the chain. Each of the approximating states has exponential decay of correlations, and is the unique ground state of a finite range Hamiltonian with a spectral gap above the ground state energy.

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JO - Lett. Math. Phys.

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