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Chinese Physics Letters

Continuous–Variable Entanglement in a Coupled Field–Mesoscopic Josephson Junction System

Tian-Hai Zeng, Shao Bin, Chang Ping, Zou Jian

Published Sep 27, 2006• 6 citations
Publisher

Abstract

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.

DOI
10.1088/0256-307x/23/10/006

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在有一块挤压的地的一个 mesoscopicJosephson 连接的交往的系统的连续变量的纠纷被调查。洞地什么时候开始处于它的最低精力状态处于一个挤压的真空状态和连接被准备，被看那，联合系统能演变为一个二模式的 Gaussian 状态。在为系统的 Wigner 表示的时间家属特征函数是获得的经分解，并且起始的洞域的压榨的度结果有在合适的参数条件下面的在联合系统的纠纷上的不仅明显的提高而且变弱的效果。

Chinese Physics Letters•Jan 1, 2006•0 citations
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.
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.
We discuss the generation and evolution of entangled light in a correlated spontaneous emission laser. The master equation for the two-mode field in a cavity is derived and solved analytically. The time-dependent characteristic function in the Wigner representation for the two-mode field is obtained. It shows that the two-mode field in the cavity evolves in a two-mode Gaussian state. The entanglement degree of the two-mode field in the cavity increases initially, then decreases, and finally vanishes as the field evolves from an initial vacuum. The period of the entanglement is extended as the intensity of the driving field is increased. It is found that the entanglement still exists even when the two-mode squeezing disappears. During the entanglement period, the intensity of the field is amplified. The entanglement for the initial field being a two-mode squeezed vacuum and the entanglement of the output field are also discussed.
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.
在有一块挤压的地的一个 mesoscopicJosephson 连接的交往的系统的连续变量的纠纷被调查。洞地什么时候开始处于它的最低精力状态处于一个挤压的真空状态和连接被准备，被看那，联合系统能演变为一个二模式的 Gaussian 状态。在为系统的 Wigner 表示的时间家属特征函数是获得的经分解，并且起始的洞域的压榨的度结果有在合适的参数条件下面的在联合系统的纠纷上的不仅明显的提高而且变弱的效果。