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

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

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.

Keywords: the ground state energy level crossing fidelity Yangian

Received: 24 October 2011
Revised: 27 April 2012
Accepted manuscript online:

PACS:	71.10.Hf	(Non-Fermi-liquid ground states, electron phase diagrams and phase transitions in model systems)
	32.80.Xx	(Level crossing and optical pumping)
	03.67.-a	(Quantum information)
	02.20.-a	(Group theory)

Fund: 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).

Cite this article:

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 2012 Chin. Phys. B 21 057101

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

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