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Communications in Theoretical Physics

Continuous Variable Entanglement of Two Mesoscopic Josephson Junctions Induced by a Thermal Radiation Field

Ping Chang, Shao Bin, Zhao-Ming Wang, Zou Jian

Published Jun 1, 2008• 1 citation
Publisher

Abstract

The continuous-variable (CV) entanglement between two mesoscopic Josephson junctions is studied and the time-dependent characteristic function in Wigner representation for the Josephson junction subsystem driven by a single-mode thermal field is analytically obtained. It is found that an initial lowest energy state of the junction subsystem can evolve into a two-mode entangled Gaussian state through the interaction with the thermal radiation field. Furthermore, we investigate the influence of the temperature on the entanglement of the junctions and find that the CV entanglement of the two junctions shows the critical behavior with respect to the temperature.

DOI
10.1088/0253-6102/49/6/59

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The continuous-variable (CV) entanglement between two mesoscopic Josephson junctions is studied and the time-dependent characteristic function in Wigner representation for the Josephson junction subsystem driven by a single-mode thermal field is analytically obtained. It is found that an initial lowest energy state of the junction subsystem can evolve into a two-mode entangled Gaussian state through the interaction with the thermal radiation field. Furthermore, we investigate the influence of the temperature on the entanglement of the junctions and find that the CV entanglement of the two junctions shows the critical behavior with respect to the temperature.
Continuous–variable entanglement in the interacting system of a mesoscopic Josephson junction with a squeezed field is investigated. It is shown that when the cavity field is initially prepared in a squeezed vacuum state and the junction in its lowest energy state, the coupling system can evolve into a two-mode Gaussian state. The time-dependent characteristic function in the Wigner representation for the system is analytically obtained, and the squeezing degree of the initial cavity field turns out to have not only an apparent enhancing but also a weakening effect on the entanglement of the coupling system under suitable parameter conditions.
We consider a composite system of two remote mesoscopic Josephson junctions interacting locally with a two-mode non-classical cavity field and investigate entanglement transfer from a bipartite continuous-variable (CV) system to a pair of localized mesoscopic Josephson junctions. We obtain analytically the time-dependent characteristic functions in the Wigner representation for the two CV subsystems, where two cases are considered for the zero and finite temperatures. Furthermore, we analyse the influences of the temperature on the period recovery of the entanglement.
连续变量(CV ) 在二个 mesoscopic Josephson 连接之间的纠纷被学习，在为由一个单个模式的热领域驾驶的 Josephson 连接分系统的 Wigner 表示的时间依赖者特征函数是获得的经分解。连接分系统的一个起始的最低精力状态能通过和热放射领域的相互作用演变为一个二模式的纠缠的 Gaussian 状态，这被发现。而且，我们在连接的纠纷上调查温度的影响并且发现二个连接的 CV 纠纷关于温度显示出批评行为。