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

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We 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.
26pages, no figure

Keywords

Mathematical Physics, 82B10

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/166836

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0808.1537
 http://arxiv.org/abs/0808.1537

Collections

arXiv