Abundance of translation invariant pure states on quantum spin chains |
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| Authors: | M. Fannes B. Nachtergaele R. F. Werner |
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| Affiliation: | (1) Inst. Theor. Fysica, Universiteit Leuven, B-3001 Leuven, Belgium;(2) Present address: Bevoegdverklaard Navorser, NFWO, Belgium;(3) Dept. of Physics, Princeton University, 08544-708 Princeton, NJ, U.S.A.;(4) Present address: Universiteit Leuven, B-3001 Leuven, Belgium;(5) Fachbereich Physik, Universität Osnabrück, Pf. 4469, Osnabrück, Germany |
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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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| Keywords: | 46L30 46L50 82B10 |
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