Malaysian Journal of Mathematical Sciences, February 2016, Vol. 10(S)
Special Issue: The 3rd International Conference on Mathematical Applications in Engineering 2014 (ICMAE'14)
Evolution of the Two-Mode Entangled States with An Atomic Coupler
Mahmoud, G. S., Messikh, A., and T. Hj. Hassan
Corresponding Email: [email protected]
Received date: -
Accepted date: -
Abstract:
We develop a model to investigate the behavior of atomic coupler consists of two waveguides, each of which includes a localized or a trapped atom with a two-mode pair coherent state source. The waveguides are placed close enough to each other to allow energy exchange between them. The two atoms, in the different waveguides, are located adjacent to each other. In each waveguide, one mode propagates along and interacts with the atom inside in a standard way as the Jaynes-Cummings model (JCM). The atom-mode system, in each waveguide, interacts with the other one via the evanescent wave. Pair coherent states (PCS) are one of the most important states in quantum information theory since it includes sufficient entanglement causing the violation of the Bell inequality. Moreover, the PCS possesses prominent nonclassical properties such as sub-Poissonian statistics, correlation in the number fluctuations, squeezing and violations of the Cauchy Schwartz inequalities.
Keywords: Atomic Quantum Coupler, Entanglement, Pair Coherent State
