92-73 Fannes M., Nachtergaele B., Werner , R.F.
Abundance of translation invariant pure states on quantum spin chains (35K, Plain TeX) Jun 17, 92
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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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