Sudden birth and sudden death of thermal fidelity in a two-qubit system

doi:10.1088/1674-1056/21/5/057101

中国物理B ›› 2012, Vol. 21 ›› Issue (5): 57101-057101.doi: 10.1088/1674-1056/21/5/057101

Sudden birth and sudden death of thermal fidelity in a two-qubit system

秦立国¹,田立君¹,姜颖¹,张宏标²

1. Department of Physics, Shanghai University, Shanghai 200444, China;
2. Institute of Theoretical Physics, Northeast Normal University, Changchun 130024, China

收稿日期:2011-10-24 修回日期:2012-04-27 出版日期:2012-04-01 发布日期:2012-04-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11075101), the Science & Technology Committee of Shanghai Municipality, China (Grant Nos. 08dj1400202 and 09PJ1404700), the Training Fund of NENU's Scientific Innvovation Project, China (Grant No. NENU-STC08018), and the Ph.D. Program Foundation of Ministry of Education of China (Grant No. 20093108110004).

Sudden birth and sudden death of thermal fidelity in a two-qubit system

Qin Li-Guo(秦立国)^a), Tian Li-Jun(田立君)^a)†, Jiang Ying(姜颖)^a), and Zhang Hong-Biao(张宏标)^b)

a. Department of Physics, Shanghai University, Shanghai 200444, China;
b. Institute of Theoretical Physics, Northeast Normal University, Changchun 130024, China

Received:2011-10-24 Revised:2012-04-27 Online:2012-04-01 Published:2012-04-01
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11075101), the Science & Technology Committee of Shanghai Municipality, China (Grant Nos. 08dj1400202 and 09PJ1404700), the Training Fund of NENU's Scientific Innvovation Project, China (Grant No. NENU-STC08018), and the Ph.D. Program Foundation of Ministry of Education of China (Grant No. 20093108110004).

摘要/Abstract

摘要： We study the energy level crossing and the thermal fidelity in a two-qubit system with the presence of a transverse inhomogeneous magnetic field. With the help of contour plots, we clearly identify the ground states of the system in different regions of parameter space, and discuss the corresponding energy level crossing. The fidelity between the ground state of the system and the state of the system at temperature T is calculated. The result shows that the fidelity is very sensitive to the magnetic field anisotropic factor, indicating that this factor may be used as a controller of the fidelity. The influence of the Yangian transition operators on the fidelity of the system is discussed. We find that the Yangian operators can change the fidelity dramatically and give rise to sudden birth and sudden death phenomena of the thermal fidelity. This makes the corresponding Yangian operators possible candidates for switchers to turn the fidelity on and off.

关键词: the ground state, energy level crossing, fidelity, Yangian

Abstract: We study the energy level crossing and the thermal fidelity in a two-qubit system with the presence of a transverse inhomogeneous magnetic field. With the help of contour plots, we clearly identify the ground states of the system in different regions of parameter space, and discuss the corresponding energy level crossing. The fidelity between the ground state of the system and the state of the system at temperature T is calculated. The result shows that the fidelity is very sensitive to the magnetic field anisotropic factor, indicating that this factor may be used as a controller of the fidelity. The influence of the Yangian transition operators on the fidelity of the system is discussed. We find that the Yangian operators can change the fidelity dramatically and give rise to sudden birth and sudden death phenomena of the thermal fidelity. This makes the corresponding Yangian operators possible candidates for switchers to turn the fidelity on and off.

Key words: the ground state, energy level crossing, fidelity, Yangian

中图分类号: (Non-Fermi-liquid ground states, electron phase diagrams and phase transitions in model systems)

71.10.Hf

32.80.Xx (Level crossing and optical pumping) 03.67.-a (Quantum information) 02.20.-a (Group theory)

秦立国, 田立君, 姜颖, 张宏标. Sudden birth and sudden death of thermal fidelity in a two-qubit system[J]. 中国物理B, 2012, 21(5): 57101-057101.

Qin Li-Guo(秦立国), Tian Li-Jun(田立君), Jiang Ying(姜颖), and Zhang Hong-Biao(张宏标) . Sudden birth and sudden death of thermal fidelity in a two-qubit system[J]. Chin. Phys. B, 2012, 21(5): 57101-057101.

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Sudden birth and sudden death of thermal fidelity in a two-qubit system

Sudden birth and sudden death of thermal fidelity in a two-qubit system

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