Dynamics of quantum Fisher information in a two-level system coupled to multiple bosonic reservoirs

doi:10.1088/1674-1056/24/11/114201

中国物理B ›› 2015, Vol. 24 ›› Issue (11): 114201-114201.doi: 10.1088/1674-1056/24/11/114201

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Dynamics of quantum Fisher information in a two-level system coupled to multiple bosonic reservoirs

王国友^{a b}, 郭有能^c, 曾可^c

a College of Science, Hunan University of Technology, Zhuzhou 412008, China;
b Key Laboratory of Low-dimensional Quantum Structures and Quantum Control of Ministry of Education, and Department of Physics, Hunan Normal University, Changsha 410081, China;
c Department of Electronic and Communication Engineering, Changsha University, Changsha 410003, China

收稿日期:2015-04-12 修回日期:2015-05-26 出版日期:2015-11-05 发布日期:2015-11-05
通讯作者: Guo You-Neng E-mail:guoxuyan2007@163.com
基金资助:
Project supported by the Hunan Provincial Innovation Foundation for Postgraduate, China (Grant No. CX2014B194) and the Scientific Research Foundation of Hunan Provincial Education Department, China (Grant No. 13C039).

Dynamics of quantum Fisher information in a two-level system coupled to multiple bosonic reservoirs

Wang Guo-You (王国友)^{a b}, Guo You-Neng (郭有能)^c, Zeng Ke (曾可)^c

a College of Science, Hunan University of Technology, Zhuzhou 412008, China;
b Key Laboratory of Low-dimensional Quantum Structures and Quantum Control of Ministry of Education, and Department of Physics, Hunan Normal University, Changsha 410081, China;
c Department of Electronic and Communication Engineering, Changsha University, Changsha 410003, China

Received:2015-04-12 Revised:2015-05-26 Online:2015-11-05 Published:2015-11-05
Contact: Guo You-Neng E-mail:guoxuyan2007@163.com
Supported by:
Project supported by the Hunan Provincial Innovation Foundation for Postgraduate, China (Grant No. CX2014B194) and the Scientific Research Foundation of Hunan Provincial Education Department, China (Grant No. 13C039).

摘要/Abstract

摘要： We consider the optimal parameter estimation for a two-level system coupled to multiple bosonic reservoirs. By using quantum Fisher information (QFI), we investigate the effect of the Markovian reservoirs’ number N on QFI in both weak and strong coupling regimes for a two-level system surrounded by N zero-temperature reservoirs of field modes initially in the vacua. The results show that the dynamics of QFI non-monotonically decays to zero with revival oscillations at some time in the weak coupling regime depending on the reservoirs’ parameters. Furthermore, we also present the relations between the QFI flow, the flows of energy and information, and the sign of the decay rate to gain insight into the physical processes characterizing the dynamics.

关键词: quantum Fisher information, parameter estimation, decay rate

Abstract: We consider the optimal parameter estimation for a two-level system coupled to multiple bosonic reservoirs. By using quantum Fisher information (QFI), we investigate the effect of the Markovian reservoirs’ number N on QFI in both weak and strong coupling regimes for a two-level system surrounded by N zero-temperature reservoirs of field modes initially in the vacua. The results show that the dynamics of QFI non-monotonically decays to zero with revival oscillations at some time in the weak coupling regime depending on the reservoirs’ parameters. Furthermore, we also present the relations between the QFI flow, the flows of energy and information, and the sign of the decay rate to gain insight into the physical processes characterizing the dynamics.

Key words: quantum Fisher information, parameter estimation, decay rate

中图分类号: (Quantum state engineering and measurements)

42.50.Dv

王国友, 郭有能, 曾可. Dynamics of quantum Fisher information in a two-level system coupled to multiple bosonic reservoirs[J]. 中国物理B, 2015, 24(11): 114201-114201.

Wang Guo-You (王国友), Guo You-Neng (郭有能), Zeng Ke (曾可). Dynamics of quantum Fisher information in a two-level system coupled to multiple bosonic reservoirs[J]. Chin. Phys. B, 2015, 24(11): 114201-114201.

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Dynamics of quantum Fisher information in a two-level system coupled to multiple bosonic reservoirs

Dynamics of quantum Fisher information in a two-level system coupled to multiple bosonic reservoirs

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