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Abundance of translation invariant pure states on quantum spin chains

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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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Author notes

  1. M. Fannes

    Present address: Bevoegdverklaard Navorser, NFWO, Belgium

  2. B. Nachtergaele

    Present address: Universiteit Leuven, B-3001, Leuven, Belgium

Authors and Affiliations

  1. Inst. Theor. Fysica, Universiteit Leuven, B-3001, Leuven, Belgium

    M. Fannes

  2. Dept. of Physics, Princeton University, 08544-708, Princeton, NJ, U.S.A.

    B. Nachtergaele

  3. Fachbereich Physik, Universität Osnabrück, Pf. 4469, Osnabrück, Germany

    R. F. Werner

Authors
  1. M. Fannes
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  2. B. Nachtergaele
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  3. R. F. Werner
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Fannes, M., Nachtergaele, B. & Werner, R.F. Abundance of translation invariant pure states on quantum spin chains. Lett Math Phys 25, 249–258 (1992). https://doi.org/10.1007/BF00406552

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  • DOI: https://doi.org/10.1007/BF00406552

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