Local entanglement and quantum phase transition in a one-dimensional transverse field Ising model

In this paper, we study the entanglement between two neighboring sites and the rest of the system in a simple quantum phase transition of a one-dimensional transverse field Ising model. We find that the entanglement shows interesting scaling and singular behaviors around the critical point, and thus...

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Bibliographic Details
Published in:Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2006-09, Vol.74 (3), Article 032308
Main Authors: Su, Shi-Quan, Song, Jun-Liang, Gu, Shi-Jian
Format: Article
Language:English
Subjects:
ATOMIC AND MOLECULAR PHYSICS
ISING MODEL
ONE-DIMENSIONAL CALCULATIONS
PHASE TRANSFORMATIONS
QUANTUM ENTANGLEMENT
QUANTUM MECHANICS
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Summary:In this paper, we study the entanglement between two neighboring sites and the rest of the system in a simple quantum phase transition of a one-dimensional transverse field Ising model. We find that the entanglement shows interesting scaling and singular behaviors around the critical point, and thus can be used as a convenient marker for the transition point.
ISSN:1050-2947
1094-1622
DOI:10.1103/PhysRevA.74.032308