Exploring the global entanglement and quantum phase transition in the spin 1/2 XXZ model with Dzyaloshinskii–Moriya interaction

Exploring the global entanglement and quantum phase transition in the spin 1/2 XXZ model with... We study the global entanglement and quantum phase transition with the anisotropy parameter and Dzyaloshinskii–Moriya (DM) interaction by methodology of quantum renormalization group within a spin 1/2 XXZ model. It has been shown that the global entanglement can develop two different fixed values, which can exhibit quantum phase transition at the critical point, and DM interaction not only can control the occurrence of the critical point, but also can recover the spoiled three-block entanglement. The behavior of the three-block global entanglement of this large 1D spin 1/2 XXZ model with DM interaction can be revealed in this paper. It turns out that the critical exponent had a relation with the correlation length in the neighborhood of the critical point. Furthermore, the scaling behavior and nonanalytic phenomenon in the spin chains are disclosed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Exploring the global entanglement and quantum phase transition in the spin 1/2 XXZ model with Dzyaloshinskii–Moriya interaction

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Publisher
Springer Journals
Copyright
Copyright © 2015 by Springer Science+Business Media New York
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-015-1159-x
Publisher site
See Article on Publisher Site

Abstract

We study the global entanglement and quantum phase transition with the anisotropy parameter and Dzyaloshinskii–Moriya (DM) interaction by methodology of quantum renormalization group within a spin 1/2 XXZ model. It has been shown that the global entanglement can develop two different fixed values, which can exhibit quantum phase transition at the critical point, and DM interaction not only can control the occurrence of the critical point, but also can recover the spoiled three-block entanglement. The behavior of the three-block global entanglement of this large 1D spin 1/2 XXZ model with DM interaction can be revealed in this paper. It turns out that the critical exponent had a relation with the correlation length in the neighborhood of the critical point. Furthermore, the scaling behavior and nonanalytic phenomenon in the spin chains are disclosed.

Journal

Quantum Information ProcessingSpringer Journals

Published: Nov 3, 2015

References

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