We consider the ground state of the quantum Ising model with transverse field h in one dimension in a finite volume Λm:={−m,−m+1,…,m+L}. For h sufficiently large we prove a bound for the entanglement of the interval Λ0:={0,…,L} relative to its complement Λm∖Λ0 which is uniform in m and L. The bound is established by means of a suitable cluster expansion.

Uniform Bound of the Entanglement for the Ground State of the Quantum Ising Model with Large Transverse Magnetic Field

Campanino, M.
Writing – Original Draft Preparation
;
2020

Abstract

We consider the ground state of the quantum Ising model with transverse field h in one dimension in a finite volume Λm:={−m,−m+1,…,m+L}. For h sufficiently large we prove a bound for the entanglement of the interval Λ0:={0,…,L} relative to its complement Λm∖Λ0 which is uniform in m and L. The bound is established by means of a suitable cluster expansion.
2020
Campanino, M. ; Gianfelice, M.;
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/754421
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