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Laser & Optoelectronics Progress

Entanglement Characteristics of Squeezed Vacuum State After Beam Splitter

魏天丽 Tianli Wei, 吴德伟 Dewei Wu, 李响 Xiang Li, 朱浩男 Haonan Zhu, 王湘林 Xianglin Wang

Published Jan 1, 2019• 0 citations
Publisher
DOI
10.3788/lop56.152701

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Based on phase space method,we study entanglement and statistical properties of squeezed vacuum state after an beam splitter.We adopt the criterion of logarithmic negativity to study the entanglement properties of the output light field.The results show that the maximum entanglement is found for the symmetrical beam splitter and the amount of entanglement increases with the squeezing parameter.In addition,we also use the Wigner-Weyl rules to study the statistical properties of light field in one of the output ports.It is found that the nonclassicality of the output field will change by adjusting the relative parameter of the input light field and the beam splitter.

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Properties of the entanglement at the outputs of a cascade beam-splitter are investigated for two single-mode squeezed vacuum state inputs. It is shown that the entanglement depends on the squeezing amplitudes of the input states and the reflection coefficients of the cascade beam-splitter and the composite phase shift Δ between the cascade beam-splitter and the input fields has a great effect on the entanglement. In particular, the properties of the entanglement of a cascade beam-splitter differ from those of only one beam-splitter. A further method for manipulating entanglement by adjusting the parameters of the cascade beam-splitter and the input fields is proposed.
By analyzing the action of a beam splitter on squeezed vacuum states (SVSs), it is found that, if the two input light beams of the beam splitter have the same squeezing amplitude and phase, the output state is a two-mode SVS. If the two input light beams of the beam splitter have the same squeezing amplitude but a phase difference of π, the output state is a direct product state of two single-mode SVSs. In the two-mode SVS, each mode has the same photon number with both even and odd photons, while the single-mode SVS which contains only even-number photon in the photon number-state representation. Based on these results, a scheme to divert the entanglement of entangled SVS from its initial locations to another location is suggested. In this scheme, the two SVSs are utilized as the quantum channel. The process of the entanglement diversion is achieved by using the 50/50 symmetric beam splitters and the photon detectors with the help of classical information.
Based on phase space method,we study entanglement and statistical properties of squeezed vacuum state after an beam splitter.We adopt the criterion of logarithmic negativity to study the entanglement properties of the output light field.The results show that the maximum entanglement is found for the symmetrical beam splitter and the amount of entanglement increases with the squeezing parameter.In addition,we also use the Wigner-Weyl rules to study the statistical properties of light field in one of the output ports.It is found that the nonclassicality of the output field will change by adjusting the relative parameter of the input light field and the beam splitter.