Entangled Finite Dimensional Pair Coherent States and Their Applications

Abstract

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 scheme to generate these states revealing their connection with the converter state. The practical feasibility of this method is also discussed. We discuss nonclassicality of a finite dimensional pair coherent states in terms of sub-Poissonian photon statistics as well as the negativity of the Wigner function after deriving the analytic expression for the Wigner function. We explore a superposition of two finite dimensional pair coherent states. We show that such states possess inherent nonclassical properties such as sub-Poissonian distribution, anti-correlation between the two modes and violation of Cauchy-Schwarz inequalities. The s-parameterized characteristic function (CF) is considered. The phase distribution in the framework of Pegg and Barnett formalism, W -function and Q-function are discussed. Furthermore, a two-level atom in interaction with a two-mode quantized electromagnetic fields besides a frequency converter interaction initially prepared in an entangled two-mode coherent state is presented. Exact solution of the wave function in the Schrödinger picture is obtained. Some statistical aspects of this model are presented. The results are employed to perform a careful investigation of the temporal evolution of the atomic inversion, entropy squeezing and variance squeezing. General conclusions reached are illustrated by numerical results.

Depiction of an External Classical Field Effects on a Four-Level W-Configuration Atom Embedded in a Coherent Cavity Field

“…The Jaynes-Cummings model has been greatly expanded over the years, allowing for more intricate interactions between atoms and fields, as well as multiple modes of the field [6,7]. Through the addition of multiple atoms, external terms and nonlinear interactions [8][9][10][11][12]. In essence, the generalization of the Jaynes-Cummings model has enabled scientists to explore a variety of possibilities that were previously not available.…”

Quantum Control of a Nonlinear Time-Dependent Interaction of a Damped Three-Level Atom

“…It plays a fundamental rule in quantum optics due to the experimental realization of the nonclassical effects. It is experimentally realizable and has undergone many theoretical studies [2].…”

Atomic non-locality dynamics of two moving atoms in a hybrid nonlinear system: concurrence, uncertainty-induced non-locality and Bell inequality

“…Another important and widely used concept is the entanglement pair coherent state (PCS), which is very useful for primary tasks in quantum information theory [29][30][31], such as teleportation, Bell nonlocality, and non-classical features of sub-Poissonian distribution and squeezing [32,33]. PCSs can be realized by different nonlinear processes in a two-photon medium [32].…”