Induced modification of geometric phase of a qubit coupled to an XY spin chain by the Dzyaloshinsky–Moriya interaction

doi:10.1088/1674-1056/22/3/030308

中国物理B ›› 2013, Vol. 22 ›› Issue (3): 30308-030308.doi: 10.1088/1674-1056/22/3/030308

Induced modification of geometric phase of a qubit coupled to an XY spin chain by the Dzyaloshinsky–Moriya interaction

张爱萍^{a b c}, 李福利^{a b}

a Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter of Ministry of Education,Xi'an Jiaotong University, Xi'an 710049, China;
b Department of Applied Physics, Xi'an Jiaotong University, Xi'an 710049, China;
c Department of Physics, Xi'an University of Architecture and Technology, Xi'an 710055, China

收稿日期:2012-07-11 修回日期:2012-08-16 出版日期:2013-02-01 发布日期:2013-02-01
基金资助:
Project supported by the National Basic Research Program of China (Grant No. 2010CB923102), the Special Prophase Project on the National Basic Research Program of China (Grant No. 2011CB311807), and the National Natural Science Foundation of China (Grant No. 11074199).

Induced modification of geometric phase of a qubit coupled to an XY spin chain by the Dzyaloshinsky–Moriya interaction

Zhang Ai-Ping (张爱萍)^{a b c}, Li Fu-Li (李福利)^{a b}

a Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter of Ministry of Education,Xi'an Jiaotong University, Xi'an 710049, China;
b Department of Applied Physics, Xi'an Jiaotong University, Xi'an 710049, China;
c Department of Physics, Xi'an University of Architecture and Technology, Xi'an 710055, China

Received:2012-07-11 Revised:2012-08-16 Online:2013-02-01 Published:2013-02-01
Contact: Zhang Ai-Ping E-mail:apzhang163@163.com
Supported by:
Project supported by the National Basic Research Program of China (Grant No. 2010CB923102), the Special Prophase Project on the National Basic Research Program of China (Grant No. 2011CB311807), and the National Natural Science Foundation of China (Grant No. 11074199).

摘要/Abstract

摘要： We consider a qubit symmetrically and transversely coupled to an XY spin chain with Dzyaloshinsky-Moriya (DM) interaction in the presence of a transverse magnetic field. An analytical expression for the geometric phase of the qubit is obtained in the weak coupling limit. We find that the modification of the geometrical phase induced by the spin chain environment is greatly enhanced by the DM interaction in the weak coupling limit around the quantum phase transition point of the spin chain.

关键词: geometric phase, quantum phase transition, XY spin chain, Dzyaloshinsky-Moriya interaction

Abstract: We consider a qubit symmetrically and transversely coupled to an XY spin chain with Dzyaloshinsky–Moriya (DM) interaction in the presence of a transverse magnetic field. An analytical expression for the geometric phase of the qubit is obtained in the weak coupling limit. We find that the modification of the geometrical phase induced by the spin chain environment is greatly enhanced by the DM interaction in the weak coupling limit around the quantum phase transition point of the spin chain.

Key words: geometric phase, quantum phase transition, XY spin chain, Dzyaloshinsky–Moriya interaction

中图分类号: (Phases: geometric; dynamic or topological)

03.65.Vf

03.65.Yz (Decoherence; open systems; quantum statistical methods) 75.10.Pq (Spin chain models)

张爱萍, 李福利. Induced modification of geometric phase of a qubit coupled to an XY spin chain by the Dzyaloshinsky–Moriya interaction[J]. 中国物理B, 2013, 22(3): 30308-030308.

Zhang Ai-Ping (张爱萍), Li Fu-Li (李福利). Induced modification of geometric phase of a qubit coupled to an XY spin chain by the Dzyaloshinsky–Moriya interaction[J]. Chin. Phys. B, 2013, 22(3): 30308-030308.

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Induced modification of geometric phase of a qubit coupled to an XY spin chain by the Dzyaloshinsky–Moriya interaction

Induced modification of geometric phase of a qubit coupled to an XY spin chain by the Dzyaloshinsky–Moriya interaction

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