Nonlinear Circular States and Their Non-Classical Properties

Amin Motamedinasab

O. Abbasi, Mohammad Kazem Tavassoly

Regiane Ragi, B. Baseia, Salomon Sylvain Mizrahi

Here we investigate some general properties of the so-called even circular state (ECS) produced in a cavity, consisting of a superposition of N coherent states |α k ⟩ ( k = 1,2,..., N ) with the same |α k |. Several special states may emerge from this kind of superposition: in particular, when 1<<( e |α k | 2 / N ) N <<4 N a Fock state with N quanta is produced, whereas when ( e |α k | 2 / N ) N <<1 one gets a vacuum state. We analyse the atomic scattering the ECSs produce when two-level atoms go through the cavity and also the non-classical depth of these states.

J. Récamier, M. Gorayeb, Wolf Luis Mochán +1 more

Seyedeh Robabeh Miry, M. Shahpari, Mohammad Kazem Tavassoly

V. Chithiika Ruby, Murugaian Senthilvelan

In this paper, we construct nonlinear coherent states for the generalized isotonic oscillator and study their non-classical properties in detail. By transforming the deformed ladder operators suitably, which generate the quadratic algebra, we obtain Heisenberg algebra. From the algebra, we define two non-unitary and one unitary displacement type operators. While the action of one of the non-unitary type operators reproduces the original nonlinear coherent states, the other one fails to produce a new set of nonlinear coherent states (dual pair). We show that these dual states are not normalizable. For the nonlinear coherent states, we evaluate the parameter A3 and examine the non-classical nature of the states through quadratic and amplitude-squared squeezing effect. Further, we derive analytical formula for the P-function, Q-function, and the Wigner function for the nonlinear coherent states. All of them confirm the non-classicality of the nonlinear coherent states. In addition to the above, we obtain the harmonic oscillator type coherent states from the unitary displacement operator.