Steered coherence and entanglement in the Heisenberg XX chain under twisted boundary conditions

doi:10.1088/1674-1056/abe1a9

中国物理B ›› 2021, Vol. 30 ›› Issue (7): 70303-070303.doi: 10.1088/1674-1056/abe1a9

Steered coherence and entanglement in the Heisenberg XX chain under twisted boundary conditions

Yu-Hang Sun(孙宇航) and Yu-Xia Xie(谢玉霞)^†

School of Science, Xi'an University of Posts and Telecommunications, Xi'an 710121, China

收稿日期:2020-10-31 修回日期:2021-01-08 接受日期:2021-02-01 出版日期:2021-06-22 发布日期:2021-06-22
通讯作者: Yu-Xia Xie E-mail:yuxia1124@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11675129).

Steered coherence and entanglement in the Heisenberg XX chain under twisted boundary conditions

Yu-Hang Sun(孙宇航) and Yu-Xia Xie(谢玉霞)^†

School of Science, Xi'an University of Posts and Telecommunications, Xi'an 710121, China

Received:2020-10-31 Revised:2021-01-08 Accepted:2021-02-01 Online:2021-06-22 Published:2021-06-22
Contact: Yu-Xia Xie E-mail:yuxia1124@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11675129).

摘要/Abstract

摘要： We study steered coherence (SC) and entanglement in a three-spin Heisenberg XX model under twisted boundary conditions and show that their strengths can be significantly enhanced by tuning the twist angle. The optimal twist angle θ_opt for achieving the maximum l₁ norm of SC is π in the region of weak field B and decreases gradually from π to 0 when B increases after a critical value, while for the relative entropy of SC, θ_opt equals π in the weak field region and 0 otherwise. The entanglement and the critical temperature above which the entanglement vanishes can also be significantly enhanced by tuning the twist angle from 0 to π.

关键词: quantum coherence, entanglement, twisted boundary conditions

Abstract: We study steered coherence (SC) and entanglement in a three-spin Heisenberg XX model under twisted boundary conditions and show that their strengths can be significantly enhanced by tuning the twist angle. The optimal twist angle θ_opt for achieving the maximum l₁ norm of SC is π in the region of weak field B and decreases gradually from π to 0 when B increases after a critical value, while for the relative entropy of SC, θ_opt equals π in the weak field region and 0 otherwise. The entanglement and the critical temperature above which the entanglement vanishes can also be significantly enhanced by tuning the twist angle from 0 to π.

Key words: quantum coherence, entanglement, twisted boundary conditions

中图分类号: (Decoherence; open systems; quantum statistical methods)

03.65.Yz

64.70.Tg (Quantum phase transitions) 75.10.Pq (Spin chain models)

Yu-Hang Sun(孙宇航) and Yu-Xia Xie(谢玉霞). Steered coherence and entanglement in the Heisenberg XX chain under twisted boundary conditions[J]. 中国物理B, 2021, 30(7): 70303-070303.

Yu-Hang Sun(孙宇航) and Yu-Xia Xie(谢玉霞). Steered coherence and entanglement in the Heisenberg XX chain under twisted boundary conditions[J]. Chin. Phys. B, 2021, 30(7): 70303-070303.

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Steered coherence and entanglement in the Heisenberg XX chain under twisted boundary conditions

Steered coherence and entanglement in the Heisenberg XX chain under twisted boundary conditions

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