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Acta Physica Sinica

Entangled coherent states in symmetry phase spaceand their nonclassical effects

Xiaoyan Zhang, Ji‐Suo Wang

Published Jan 1, 2011• 4 citations
Publisher

Abstract

We discuss the entangled coherent states in symmetry phase space by introducing orthogonal basis, calculate their entanglement by means of concurrence, and investigate their squeezing effects of single-mode and two-mode and antibunching effects. The calculations indicate that the entangled coherent state in symmetry phase space is closely related to nonclassical effect.

DOI
10.7498/aps.60.090304

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We discuss the entangled coherent states in symmetry phase space by introducing orthogonal basis, calculate their entanglement by means of concurrence, and investigate their squeezing effects of single-mode and two-mode and antibunching effects. The calculations indicate that the entangled coherent state in symmetry phase space is closely related to nonclassical effect.
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Quantum entanglement and squeezing are kinds of important nonclassical phenomena of quantum systems. In this paper entangling and squeezing properties of entangled coherent states are studied analytically and numerically. The realtions between two nonclassical effects of squeezing and entanglement are investigated in detail. It is found that the degree of squeezing can be increased or decreased through changing the degree of entanglement. And it is shown that squeezing properties of single-mode squeezing is very different from that of two-mode squeezing.
Abstract Two-mode nonlinear semi-coherent states and their even and odd superpositions are defined. Their non-classical properties, including photon statistics and squeezing, are then evaluated. We use the Mandel parameter and the second-order coherence function to study sub-Poissonian photon statistics and the photon antibunching effect. By calculating the variance of two-mode quadrature operators, we evaluate the squeezing effect for the introduced states. Next, we examine entanglement using concurrence. We have found that all states display non-classical properties within certain ranges of the parameters involved. The calculation of concurrence demonstrates that all states are entangled within specific ranges of parameters.