Abstract
We study the evolution of the photon-added coherent state | α, m⟩ (introduced by Agarwal and Tara [Phys.Rev. A43, 492 (1991)]) due to a time dependence of thefrequency of the electromagnetic field oscillator in a cavity or avibrational frequency of an ion inside an electromagnetic trap. Wegive explicit expressions for the photon distribution function, meanvalues and variances of the quadrature components and of the photonnumber, the Wigner and Q-functions, etc. We show that theparametric excitation leads to strong oscillations of the photon(phonon) distribution function and changes the subpoissonian photonstatistics to the superpoissonian one. Besides, it enables to achievea larger squeezing coefficient than in the usual squeezedstates.
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