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Chinese Journal of Quantum Electronics

Quantum nonlocality and entanglement for a two-mode squeezed vacuum state in a phase damping channel

Lu Huai-Xin

Published Jan 1, 2005• 0 citations
OpenAlex

Abstract

We study dynamics of quantum nonlocality and entanglement for a two-mode squeezed vacuum state in a phase damping channel. After getting the explicit expression of the density evolution operator of the system, we uncover the nonlocality of the state by introducing appropriate Bell operator based on the 'pseudospin operator'. The property of the entanglement for the state is also clear from the calculation of relative entropy of entanglement.

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We study dynamics of quantum nonlocality and entanglement for a two-mode squeezed vacuum state in a phase damping channel. After getting the explicit expression of the density evolution operator of the system, we uncover the nonlocality of the state by introducing appropriate Bell operator based on the 'pseudospin operator'. The property of the entanglement for the state is also clear from the calculation of relative entropy of entanglement.
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 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.
I investigate the decoherence of two-mode squeezed vacuum states by analyzing the relative entropy of entanglement. I consider two sources of decoherence: (i) the phase damping and (ii) the amplitude damping due to the coupling to the thermal environment. In particular, I give the exact value of the relative entropy of entanglement for the phase damping model. For the amplitude damping model, I give an upper bound for the relative entropy of entanglement, which turns out to be a good approximation for the entanglement measure in the usual experimental situations.
We study a system consisting of two identical non-interacting single-mode cavity fields coupled to a common vacuum environment and provide general, explicit, and exact solutions to its master equation by means of the characteristic function method. We analyze the entanglement dynamics of two-mode squeezed thermal state in this model and show that its entanglement dynamics is strongly determined by the two-mode squeezing parameter and the purity. In particular, we find that two-mode squeezed thermal state with the squeezing parameter is extremely fragile and almost does not survive in a common vacuum environment. We investigate the time evolution of nonlocality for two-mode squeezed thermal state in such an environment. It is found that the evolved state loses its nonlocality in the beginning of the evolution, but after a time, the revival of nonlocality can occur.
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.
Quantum entanglement and nonlocality properties of a family of two-mode Gaussian pure states have been investigated. The results show that the entanglement of these states is determined by both the two-mode squeezing parameter and the difference of the two single-mode squeezing parameters. For the same two-mode squeezing parameter, these states show larger entanglement than the usual two-mode squeezed vacuum state. The violation of Bell inequality depends strongly on all the squeezing parameters of these states and disappears completely in the limit of large squeezing. In particular, these states can exhibit much stronger violation of local realism than two-mode squeezed vacuum state in the range of experimentally available squeezing values.