Nonclassical properties of coherent states and excited coherent states for continuous spectra

New nonlinear coherent states and some of their nonclassical properties

We construct a displacement operator type nonlinear coherent state and examine some of its properties. In particular it is shown that this nonlinear coherent state exhibits nonclassical properties like squeezing and sub-Poissonian behaviour. PACS No: 42.50Dv, 42.50p ∗E-mail : [email protected] †E-mail : [email protected]

An Entanglement Study of Superposition of Qutrit Spin-Coherent States

Considering generalized concurrence as the criterion of entanglement, we study entanglement properties of superposition of two qutrit coherent states, as a function of their amplitudes. These states may attain maximum entanglement or no entanglement at all, depending on the choice of the parameters involved. The states revealing maximum entanglement also display the maximum violations of the Be...

Gazeau- Klouder Coherent states on a sphere

In this paper, we construct the Gazeau-Klauder coherent states of a two- dimensional harmonic oscillator on a sphere based on two equivalent approaches. First, we consider the oscillator on the sphere as a deformed (non-degenerate) one-dimensional oscillator. Second, the oscillator on the sphere is considered as the usual (degenerate) two--dimensional oscillator. Then, by investigating the quan...

Coherent states for the hydrogen atom : discrete and continuous spectra

We construct the systems of generalised coherent states for the discrete and continuous spectra of the hydrogen atom. These systems are expressed in elementary functions and are invariant under the SO(3, 2) (discrete spectrum) and SO(4, 1) (continuous spectrum) subgroups of the dynamical symmetry group SO(4, 2) of the hydrogen atom. Both systems of coherent states are particular cases of the ke...

Nonclassical Properties of Superpositions of Coherent and Squeezed States for Electromagnetic Fields in Time-Varying Media