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.
Campanino, M., Gianfelice, M. (2020). Uniform Bound of the Entanglement for the Ground State of the Quantum Ising Model with Large Transverse Magnetic Field. JOURNAL OF STATISTICAL PHYSICS, 178(5), 1248-1267 [10.1007/s10955-020-02501-7].
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.File in questo prodotto:
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