Spectral gap, and split property in quantum spin chains

Research output: Contribution to journalArticle

8 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 languageEnglish
Article number017091JMP
JournalJournal of Mathematical Physics
Volume51
Issue number1
DOIs
Publication statusPublished - Jan 1 2010

Fingerprint

Quantum Spin Chain
Statistical Independence
Spectral Gap
factorization
integers
Ground State
Lemma
Factorization
Subsystem
topology
theorems
Topology
Imply
Integer
ground state
Class

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Spectral gap, and split property in quantum spin chains. / Matsui, Taku.

In: Journal of Mathematical Physics, Vol. 51, No. 1, 017091JMP, 01.01.2010.

Research output: Contribution to journalArticle

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