Entanglement and quantum phase transition in the Heisenberg-Ising model

doi:10.1088/1674-1056/22/2/020308

中国物理B ›› 2013, Vol. 22 ›› Issue (2): 20308-020308.doi: 10.1088/1674-1056/22/2/020308

Entanglement and quantum phase transition in the Heisenberg-Ising model

谭小东, 金柏琪, 高微

School of Physics and Electronic Information Engineering, Wenzhou University, Wenzhou 325035, China

收稿日期:2012-05-24 修回日期:2012-07-18 出版日期:2013-01-01 发布日期:2013-01-01

Entanglement and quantum phase transition in the Heisenberg-Ising model

Tan Xiao-Dong (谭小东), Jin Bai-Qi (金柏琪), Gao Wei (高微)

School of Physics and Electronic Information Engineering, Wenzhou University, Wenzhou 325035, China

Received:2012-05-24 Revised:2012-07-18 Online:2013-01-01 Published:2013-01-01
Contact: Jin Bai-Qi E-mail:jinbq@wzu.edu.cn

摘要/Abstract

摘要： We use the quantum renormalization-group (QRG) method to study the entanglement and quantum phase transition (QPT) in the one-dimensional spin-1/2 Heisenberg-Ising model [Lieb E, Schultz T and Mattis D 1961 Ann. Phys. (N.Y.) 16 407]. We find the quantum phase boundary of this model by investigating the evolution of concurrence in terms of QRG iterations. We also investigate the scaling behavior of system close to the quantum critical point, which shows that the minimum value of the first derivative of concurrence and the position of the minimum scale with an exponent of the system size. And the first derivative of concurrence between two blocks diverges at the quantum critical point, which is directly associated with the divergence of the correlation length.

关键词: quantum renormalization-group, quantum phase transition, Heisenberg-Ising model

Abstract: We use the quantum renormalization-group (QRG) method to study the entanglement and quantum phase transition (QPT) in the one-dimensional spin-1/2 Heisenberg-Ising model [Lieb E, Schultz T and Mattis D 1961 Ann. Phys. (N.Y.) 16 407]. We find the quantum phase boundary of this model by investigating the evolution of concurrence in terms of QRG iterations. We also investigate the scaling behavior of system close to the quantum critical point, which shows that the minimum value of the first derivative of concurrence and the position of the minimum scale with an exponent of the system size. And the first derivative of concurrence between two blocks diverges at the quantum critical point, which is directly associated with the divergence of the correlation length.

Key words: quantum renormalization-group, quantum phase transition, Heisenberg-Ising model

中图分类号: (Entanglement measures, witnesses, and other characterizations)

03.67.Mn

03.65.Ud (Entanglement and quantum nonlocality) 73.43.Nq (Quantum phase transitions) 75.10.Pq (Spin chain models)

谭小东, 金柏琪, 高微. Entanglement and quantum phase transition in the Heisenberg-Ising model[J]. 中国物理B, 2013, 22(2): 20308-020308.

Tan Xiao-Dong (谭小东), Jin Bai-Qi (金柏琪), Gao Wei (高微). Entanglement and quantum phase transition in the Heisenberg-Ising model[J]. Chin. Phys. B, 2013, 22(2): 20308-020308.

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Entanglement and quantum phase transition in the Heisenberg-Ising model

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