## Photon-added nonlinear coherent states for a one-mode field in a Kerr medium |

JOSA B, Vol. 31, Issue 1, pp. 38-44 (2014)

http://dx.doi.org/10.1364/JOSAB.31.000038

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### Abstract

We construct deformed photon-added nonlinear coherent states (DPANCSs) by application of the deformed creation operator upon the nonlinear coherent states obtained as eigenstates of the deformed annihilation operator and by application of a deformed displacement operator upon the vacuum state. We evaluate some statistical properties like the Mandel parameter, Husimi, and Wigner functions for these states and analyze their differences; we give closed analytical expressions for them. We found a profound difference in the statistical properties of the DPANCSs obtained from the two abovementioned generalizations.

© 2013 Optical Society of America

**OCIS Codes**

(270.5290) Quantum optics : Photon statistics

(270.6570) Quantum optics : Squeezed states

**ToC Category:**

Quantum Optics

**History**

Original Manuscript: August 15, 2013

Revised Manuscript: November 7, 2013

Manuscript Accepted: November 13, 2013

Published: December 6, 2013

**Citation**

R. Román-Ancheyta, C. González Gutiérrez, and J. Récamier, "Photon-added nonlinear coherent states for a one-mode field in a Kerr medium," J. Opt. Soc. Am. B **31**, 38-44 (2014)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-31-1-38

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