On Spectral Gap,U(1) Symmetry and Split Property in Quantum Spin Chains

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dc.creatorMatsui, Taku
dc.date2008-08-11
dc.date.accessioned2026-07-07T09:56:01Z
dc.date.available2026-07-07T09:56:01Z
dc.descriptionWe consider a class of ground states for quantum spin chains on an integer lattice. First we show that presence of the spectral gap between the ground state energy and the rest of spectrum implies the split property of certain subsystems.As a corollary, we show that gapless excitation exists for spinless Fermion if the pure gauge invariant ground state is non-trivial and translationally invariant.
dc.description26pages, no figure
dc.identifierhttps://arxiv.org/abs/0808.1537
dc.identifierhttp://arxiv.org/abs/0808.1537
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166836
dc.subjectMathematical Physics
dc.subject82B10
dc.titleOn Spectral Gap,U(1) Symmetry and Split Property in Quantum Spin Chains
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