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Chinese Physics B

Dynamical nonlocality of the entangled coherent state in the phase damping model

Huai-Xin Lu, Yingde Li

Published Jan 1, 2009• 4 citations
Publisher

Abstract

This paper studies the dynamics of nonlocality for a bosonic entangled coherent state in a phase damping model. The density operator of the system is solved by using a superoperator method. The dynamics of nonlocality for the bosonic entangled coherent state is uncovered by the Bell operator based on the pseudospin operator of a light field. The dynamics of the nonlocality for this state has also been studied by other Bell operators. The result of the numerical calculations of the Bell function shows that the quantum nonlocality heavily depends on the chosen Bell operator.

DOI
10.1088/1674-1056/18/1/007

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This paper studies the dynamics of nonlocality for a bosonic entangled coherent state in a phase damping model. The density operator of the system is solved by using a superoperator method. The dynamics of nonlocality for the bosonic entangled coherent state is uncovered by the Bell operator based on the pseudospin operator of a light field. The dynamics of the nonlocality for this state has also been studied by other Bell operators. The result of the numerical calculations of the Bell function shows that the quantum nonlocality heavily depends on the chosen Bell operator.
In this paper, we have studied the dynamics of nonlocality for a hybrid entangled state in a thermal reservoir. The density operator of the system is obtained by using a superoperator method. The dynamics of nonlocality for the mixed hybrid entangled state is uncovered by using the Bell operator based on the ‘pseudospin operator’ for a light field (Chen Z B, Pan J W, Hou G and Zhang Y D 2002 Phys. Rev. Lett. 88 040406). The dynamics of nonlocality has also been studied using other Bell operators.
The quantum nonlocal correlation between an atom and coherent field is described quantitatively in terms of multi-photon and phase damping processes. Especially, considering a two-level atom interacts with a single-mode quantized field in a coherent state inside a phase-damped cavity, and taking into account the number of multi-photon transitions and phase damping effect, the entanglement is investigated during the time evolution as a function of involved' parameters in the system. The results show that the enhancement of the transitions are very useful in generating a high amount of entanglement. Due to the significance of how a system is quantum correlated with its environment in the construction of a scalable quantum computer, the entanglement dynamics between the bipartite system with its environment is evaluated and investigated during the dissipative process. Finally, the physical interpretation of the correlation behaviors between the subsystems is explained through the statistical properties of the field.
In this paper we investigate the quantum decoherence and the dynamics of nonlocality of two-mode single-photon subtracted squeezed vacuum state(TSSV).We numerically calculate the relative entropy of the entanglement and analyze in detail the linear entropy of the entanglement.Then we calculate the Bell-CHSH inequality based upon pseudospin operators and find that the Bell inequality is always violated.Therefore,we are sure that the decoherence can only decrease the amount of the entanglement but can not eliminate the entanglement of TSSV completely.
By using the criterion for violating Bell-CHSH inequality proposed by Horodecki,we have studied the quantum nonlocality of two kinds of entangled coherent states.Some formulas for evaluating the maximal expectation values of Bell-CHSH type operators of these entangled coherent states are derived.It is shown that the quantum nonlocality has relations with the strength and phase of coherent state.When some relations of the strength and phase are satisfied the nonlocality of entangled coherent states may disappear.