## Quasi-probability distributions and decoherence of Hermite-excited squeezed thermal states |

JOSA B, Vol. 31, Issue 9, pp. 2163-2174 (2014)

http://dx.doi.org/10.1364/JOSAB.31.002163

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### Abstract

We theoretically put forward the Hermite-excited squeezed thermal states (HESTS) by applying operator Hermite polynomials on squeezed thermal states. Starting from the normally ordered density operator of squeezed thermal states and operator Hermite polynomials, the normalization factor is obtained, which is related to the Legendre polynomials. Several phase-space distribution functions, i.e., the Q function, P function, Wigner function (WF), and R function, are analytically derived. And the non-Gaussianity and nonclassicality are mainly reflected by the negativity of non-Gaussian WF and the existence of nonclassical depth. In addition, by deriving the normally ordered density operator and WF of HESTS in the laser channel, the decoherence effect is studied and discussed. Finally, the quantity in measuring non-Gaussianity is calculated to further quantitatively measure the non-Gaussianity of the resulting states.

© 2014 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: March 31, 2014

Revised Manuscript: July 24, 2014

Manuscript Accepted: July 28, 2014

Published: August 26, 2014

**Citation**

Zhen Wang, Heng-mei Li, and Hong-chun Yuan, "Quasi-probability distributions and decoherence of Hermite-excited squeezed thermal states," J. Opt. Soc. Am. B **31**, 2163-2174 (2014)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-31-9-2163

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