Quantum phase transition and entanglement in Heisenberg XX spin chain with impurity

doi:10.1088/1674-1056/19/5/050304

中国物理B ›› 2010, Vol. 19 ›› Issue (5): 50304-050304.doi: 10.1088/1674-1056/19/5/050304

Quantum phase transition and entanglement in Heisenberg XX spin chain with impurity

陈士荣, 夏云杰, 满忠晓

Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Department of Physics, Qufu Normal University, Qufu 273165, China

收稿日期:2009-09-09 修回日期:2009-11-12 出版日期:2010-05-15 发布日期:2010-05-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No.~10774088), the Key Program of the National Natural Science Foundation of China (Grant No.~10534030).

Quantum phase transition and entanglement in Heisenberg XX spin chain with impurity

Chen Shi-Rong(陈士荣), Xia Yun-Jie(夏云杰)^†, and Man Zhong-Xiao(满忠晓)

Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Department of Physics, Qufu Normal University, Qufu 273165, China

Received:2009-09-09 Revised:2009-11-12 Online:2010-05-15 Published:2010-05-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No.~10774088), the Key Program of the National Natural Science Foundation of China (Grant No.~10534030).

摘要/Abstract

摘要： In this paper, we study the quantum phase transition and the effect of impurity on the thermal entanglement between any two lattices in three-qubit Heisenberg XX chain in a uniform magnetic field. We show that the quantum phase transition always appears when impurity parameter is an arbitrary constant and unequal to zero, the external magnetic field and impurity parameters have a great effect on it. Also, there exists a relation between the quantum phase transition and the entanglement. By modulating the temperature, magnetic field and the impurity parameters, the entanglement between any two lattices can exhibit platform-like behaviour, which can be used to realize entanglement switch.

关键词: Heisenberg XX chain, thermal entanglement, impurity lattice, quantum phase transition

Abstract: In this paper, we study the quantum phase transition and the effect of impurity on the thermal entanglement between any two lattices in three-qubit Heisenberg XX chain in a uniform magnetic field. We show that the quantum phase transition always appears when impurity parameter is an arbitrary constant and unequal to zero, the external magnetic field and impurity parameters have a great effect on it. Also, there exists a relation between the quantum phase transition and the entanglement. By modulating the temperature, magnetic field and the impurity parameters, the entanglement between any two lattices can exhibit platform-like behaviour, which can be used to realize entanglement switch.

Key words: Heisenberg XX chain, thermal entanglement, impurity lattice, quantum phase transition

中图分类号: (Quantum phase transitions)

73.43.Nq

75.10.Jm (Quantized spin models, including quantum spin frustration) 75.10.Pq (Spin chain models) 03.65.Ud (Entanglement and quantum nonlocality) 75.30.Hx (Magnetic impurity interactions)

陈士荣, 夏云杰, 满忠晓. Quantum phase transition and entanglement in Heisenberg XX spin chain with impurity[J]. 中国物理B, 2010, 19(5): 50304-050304.

Chen Shi-Rong(陈士荣), Xia Yun-Jie(夏云杰), and Man Zhong-Xiao(满忠晓). Quantum phase transition and entanglement in Heisenberg XX spin chain with impurity[J]. Chin. Phys. B, 2010, 19(5): 50304-050304.

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Quantum phase transition and entanglement in Heisenberg XX spin chain with impurity

Quantum phase transition and entanglement in Heisenberg XX spin chain with impurity

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