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Acta Physica Sinica

Enhancement of three-mode Gaussian state light field nonlocality

Benyuan Zhou, Huang Hui, Gao‐xiang Li, (1)华中师范大学物理科学与技术学院，武汉 430079; (2)华中师范大学物理科学与技术学院，武汉 430079；空军雷达学院物理教研室，武汉 430019

Published Jan 1, 2009• 0 citations
Publisher

Abstract

Here we propose a scheme for enhancing the nonlocality of three-mode Gaussian state light fields. It is found that three-mode Gaussian State can become non-Gaussian by the non-Gaussian operation of an IPS process, It is vertified that nonlocality of Gaussian state can be enhanced by Bell inquality.
DOI
10.7498/aps.58.1679

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We address the nonlocality of fully inseparable three-mode Gaussian states generated either by bilinear three-mode Hamiltonians or by a sequence of bilinear two-mode Hamiltonians. Two different tests revealing nonlocality are considered, in which the dichotomic Bell operator is represented by the displaced parity and by the pseudospin operator respectively. Three-mode states are also considered as a conditional source of two-mode non-Gaussian states, whose nonlocality properties are analysed. We found that the non-Gaussian character of the conditional states allows violation of Bell's inequalities (by parity and pseudospin tests) stronger than with a conventional twin-beam state. However, the non-Gaussian character is not sufficient to reveal nonlocality through a dichotomized quadrature measurement strategy.
Local unitary operations cannot affect the quantum correlations between two systems sharing an entangled state although they do influence the outcomes of local measurements. By considering local squeezing operations we introduce an extended family of observables allowing violation of the Clauser-Horne-Shimony-Holt Bell inequality for two-mode Gaussian systems. We show that local squeezing can enable or enhance the identification of nonlocal two-mode states. In particular, we show that local squeezing followed by photon--no-photon discrimination can suffice to reveal nonlocality in a broad ensemble of pure and mixed two-mode Gaussian states.
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