The q-Analogues of Squeezed States and Some Properties

Song Tong-Qiang, Hong-Yi Fan

A. I. Solomon

Song Tong-Qiang, Hong-Yi Fan

The construction of two f -analogues of the two-mode squeezed vacuum and coherent squeezed vacuum states are derived using deformation quantization methods. The statistical properties of these states are studied and the method of integration within an ordered product is used to derive several new completeness relations.

Christopher C. Gerry

The properties of states generated by the application of the two-mode squeeze operator to the pair coherent states are studied. These states are the two-mode analogues of the single-mode squeezed states generated by the application of the single-mode squeeze operator to an ordinary coherent state. In the present case there are correlations between the modes and strong non-classical properties are to be expected. We study the statistical properties of the photon number distributions, squeezing, violations of the Cauchy-Schwartz inequality, quasiprobability distributions and the phase distributions.

A. D. Jannussis, Vasileios Bartzis

Jing‐Bo Xu, Cai Shoufu, Gao Mu +1 more

We study the mathematical and physical properties of the states which are generated by excitation on a q -analogue of the coherent state. With the help of a q -analogue of the Laguerre polynomial, the squeezing and the statistical properties of the field in such the state are also discussed.