Spectral gap, and split property in quantum spin chains

Taku Matsui

doi:10.1063/1.3285046

Spectral gap, and split property in quantum spin chains

Taku Matsui

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

In this article, we consider a class of ground states with spectral gap for quantum spin chains on an integer lattice and we prove that the factorization lemma of Hastings ["Topology and phases in fermionic systems," J. Stat. Mech.: Theory Exp.2008, L01001] implies split property (weak statistical independence) of left and right semi-infinite subsystems.

Original language	English
Article number	017091JMP
Journal	Journal of Mathematical Physics
Volume	51
Issue number	1
DOIs	https://doi.org/10.1063/1.3285046
Publication status	Published - Jan 1 2010

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.3285046

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Spectral gap, and split property in quantum spin chains

Abstract

All Science Journal Classification (ASJC) codes

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