Spontaneously induced atom–radiation entanglement in an ensemble of trapped two-level atoms

Abstract

Analysis of the effects of the spontaneously induced correlation on atom–radiation entanglement in an ensemble of two-level atoms initially prepared in the upper energy level and then trapped in a cavity containing a source of a squeezed radiation employing the method of evaluating the coherent-state propagator is presented. It is found that the cavity radiation exhibits squeezing which is directly attributed to the squeezed radiation initially present in the cavity. The intensity of the cavity radiation increases with the squeeze parameter and interaction time. It is also shown that a substantial degree of entanglement between the atomic state and radiation mode exits at a particular time which depends on the coupling constant and squeeze parameter. It is understood that although the squeezed radiation is directly accountable for the cavity squeezing, it significantly destroys the atom–radiation entanglement induced by the correlation between spontaneously emitted radiation and the atoms.

Keywords:

• two-level atoms
• quadrature squeezing
• atom–radiation entanglement
• photon statistics

Acknowledgement

I thank Dr Fesseha Kassahun for introducing me to the method of evaluating the coherent-state propagator.