Effects of cavityfield statistics on atomic entanglement in the JaynesCummings model.pdf

Effects of cavity-field statistics on atomic entanglement in the Jaynes-Cummings model 1 2 3 Biplab Ghosh , A. S. Majumdar and N. Nayak S. N. Bose National Centre for Basic Sciences, Salt Lake, Kolkata 700 098, India 6 0 Abstract 0 2 We study the entanglement properties of a pair of two-level atoms y going through a cavity one after another. The initial joint state of two a successive atoms that enter the cavity is unentangled. Interactions M mediated by the cavity photon field result in the final two-atom state 9 being of a mixed entangled type. We consider the field statistics of 1 the Fock state field, and the thermal field, respectively, inside the cavity. The entanglement of formation of the joint two-atom state is 2 v calculated for both these cases as a function of the Rabi-angle gt. We 9 present a comparitive study of two-atom entanglement for low and 3 high mean photon number cases corresponding to the different fields 0 3 statistics. 0 6 0 I. Introduction / h p - Quantum entanglement has been widely observed within the framework of t n quantum optical systems such as cavity quantum electrodynamics. Many a beautiful experiments have been carried out in recent years and several types u q of entangled states have been created. Practical realization of various fea- : v tures of quantum entanglement are obtained in atom-photon interac