We have studied a higher-order squeezing and a higher-order sub-Poissonian photon
statistics in photon-added coherent states. We obtained analytic forms of the degree of …

A new state of electromagnetic field is introduced. It is a type of the correlated two-mode
states but in finite dimensions. Based on the resonant ion–cavity interaction, we propose a …

We propose a scheme for generating a nonlinear finite-dimensional pair coherent state of
the vibrational motion of an ion in a two-dimensional trap. It is a type of the correlated two …

We define the excited K-quantum nonlinear coherent state and prove that it is indeed a K-
quantum nonlinear coherent state characterized by another nonlinear function whose …

We propose using eight lasers with appropriate orientations and conditions to generate
stable trio coherent states of an ion in a three-dimensional isotropic trap. Seven lasers …

Intermediate states of electromagnetic field are reviewed. It is a type of the correlated two-
mode states (converter state). Based on the resonant ion-cavity interaction, we propose a …

We introduce a novel class of higher-order, three-mode states called K-dimensional trio
coherent states. We study their mathematical properties and prove that they form a complete …

We study the Hillery-type, ie $ N $-th power, amplitude squeezing in the fan-state $|\xi; 2k, f>
_ {F} $ characterized by $\xi\in\mathcal {C} $, $ k= 1, 2, 3,... $ and $ f $ a nonlinear operator …

Squeezing properties of the Hillery-type $ N $-powered amplitude are investigated in the
linear and nonlinear fan-state. For a given $ k $, squeezing may appear to the even power …

A scheme of generating recently introduced fan-states|\alpha, 2k> _F (\alpha is complex, k=
1, 2, 3,...) is proposed basing on a\Lambda-type atom-cavity field interaction. We show that …