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
Original Manuscript: August 15, 2013
Revised Manuscript: November 7, 2013
Manuscript Accepted: November 13, 2013
Published: December 6, 2013
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)