Perturbations of ground states in weakly interacting quantum spin systems

We consider a general weak bounded finite range perturbation of a general free quantum spin Hamiltonian on a lattice. We prove that if the free Hamiltonian has a nondegenerate ground state and a spectral gap, then the perturbation also has a ground state, and estimate the localization of the spectru...

Full description

Saved in:
Bibliographic Details
Published in:Journal of mathematical physics 2004-06, Vol.45 (6), p.2134-2152
Main Author: Yarotsky, D. A.
Format: Article
Language:English
Subjects:
Physics
Quantum theory
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We consider a general weak bounded finite range perturbation of a general free quantum spin Hamiltonian on a lattice. We prove that if the free Hamiltonian has a nondegenerate ground state and a spectral gap, then the perturbation also has a ground state, and estimate the localization of the spectrum in the corresponding ground state representation.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.1705718