## Statistical properties of coherent photon-added two-mode squeezed vacuum and its inseparability |

JOSA B, Vol. 30, Issue 3, pp. 518-529 (2013)

http://dx.doi.org/10.1364/JOSAB.30.000518

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### Abstract

We investigate the statistical properties and inseparability of the field states generated by any order nonlocal coherent photon addition (CPA) to the two-mode squeezed vacuum (TMSV). It is shown that the normalization factor of the CPA-TMSV is a Legendre polynomial, a compact expression. The statistical properties are discussed according to the analytical expressions of cross-correlation function, antibunching effect, and the negativity of its Wigner function. The inseparability is presented by using Shchukin–Vogel criteria and the Einstein–Podolsky–Rosen correlation. It is found that the symmetrical CPA-TMSV may possess stronger correlation than the single-mode photon-addition case. The lower bound of entanglement of the CPA-TMSV is considered, which indicates the logarithmic negativity is invalid for verifying the entanglement when the squeezing parameter is less than a threshold value, a period function of

© 2013 Optical Society of America

**OCIS Codes**

(270.0270) Quantum optics : Quantum optics

(270.6570) Quantum optics : Squeezed states

**ToC Category:**

Quantum Optics

**History**

Original Manuscript: November 1, 2012

Revised Manuscript: December 18, 2012

Manuscript Accepted: January 7, 2013

Published: February 8, 2013

**Citation**

Li-Yun Hu and Zhi-Ming Zhang, "Statistical properties of coherent photon-added two-mode squeezed vacuum and its inseparability," J. Opt. Soc. Am. B **30**, 518-529 (2013)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-30-3-518

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