## Simple criterion for nonclassical two-mode states

JOSA B, Vol. 15, Issue 3, pp. 1187-1191 (1998)

http://dx.doi.org/10.1364/JOSAB.15.001187

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### Abstract

A sufficient condition for nonclassical two-mode states in terms of three probabilities, (n_{2}+1)p(n_{1}−1, n_{2}+1)2n_{1}p(n_{1}, n_{2})+(n_{1}+1)p(n_{1}+1, n_{2}−1)2n_{2}p(n_{1}, n_{2})<1, is established as a new type II criterion. This criterion is applied to the two-mode coherent state, the two-mode squeezed vacuum state, and the pair coherent state to show how easily it can be used. It is also applied to the photon-added two-mode thermal state and the mixing of two two-photon states by a symmetric beam splitter to show that the type II criterion is superior to its type I counterpart in at least these two examples.

© 1998 Optical Society of America

**OCIS Codes**

(030.5260) Coherence and statistical optics : Photon counting

(270.0270) Quantum optics : Quantum optics

(270.5290) Quantum optics : Photon statistics

**Citation**

Ching Tsung Lee, "Simple criterion for nonclassical two-mode states," J. Opt. Soc. Am. B **15**, 1187-1191 (1998)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-15-3-1187

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