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Keywords:

extension problem, Science & Technology, Physical Sciences, Physics, Mathematical, Physics, EXTENSION PROBLEM, 01 Mathematical Sciences, 02 Physical Sciences, Mathematical Physics, 49 Mathematical sciences, 51 Physical sciences

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.