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The generated magnitude of quadrature squeezing in a cavity-coupled ensemble,which is continuously driven using a coherent off-axis field, is theoreticallyexplored. Using a truncated set of equations-of-motion derived from a DickeHamiltonian, steady-state quadrature squeezing of the cavity field isnumerically calculated to approach a limit of -3 dB, while frequency-modulatedquadrature squeezing approaches a limit of -14 dB, in the absence ofpure-dephasing, and as a function of the ensemble's size and detuning. Theimpact of pure-dephasing on steady-state quadrature squeezing is shown to bemitigated by increased detuning of the driving field, while frequency-modulatedsqueezing is only shielded in a regime where the cumulative coupling anddriving rates are in excess of the pure-dephasing rate. Spin-squeezedentanglement is also calculated to occur simultaneously with weakly-drivenfrequency-modulated quadrature squeezing.

Driven quadrature and spin squeezing in a cavity-coupled ensemble of two-level states