Signatures of the Pair-Coherent State

摘要

We explore in detail the possibility of generating a pair-coherent state inthe non-degenerate parametric oscillator when decoherence is included. Suchstates are predicted in the transient regime in parametric oscillation wherethe pump mode is adiabatically eliminated. Two specific signatures are examinedto indicate whether the state of interest has been generated, the Schrodingercat state - like signatures, and the fidelity. Solutions in a transient regimereveal interference fringes which are indicative of the formation of aSchrodinger cat state. The fidelity indicates the purity of our prepared statecompared to the ideal pair-coherent state.