Photon-added nonlinear coherent states for a one-mode field in a Kerr medium
R. Román-Ancheyta, Carlos A. González-Gutiérrez, J. Récamier
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.
arXiv:1311.4129•Journal of the Optical Society of America B•Dec 5, 2013•31 citations