Uniqueness of the ground state in weak perturbations of non-interacting gapped quantum lattice systems

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

We consider a general weak perturbation of a non-interacting quantum lattice system with a non-degenerate gapped ground state. We prove that in a finite volume the dependence of the ground state on the boundary condition exponentially decays with the distance to the boundary, which implies in particular that the infinite-volume ground state is unique. Also, equivalent forms of boundary conditions for ground states of general finite quantum systems are discussed.

Original languageEnglish
Pages (from-to)119-144
Number of pages26
JournalJournal of Statistical Physics
Volume118
Issue number1-2
DOIs
Publication statusPublished - 2005
Externally publishedYes

Keywords

  • Ground state
  • Quantum lattice system

Fingerprint

Dive into the research topics of 'Uniqueness of the ground state in weak perturbations of non-interacting gapped quantum lattice systems'. Together they form a unique fingerprint.

Cite this