  The generated magnitude of quadrature squeezing in a cavity-coupled ensemble,
which is continuously driven using a coherent off-axis field, is theoretically
explored. Using a truncated set of equations-of-motion derived from a Dicke
Hamiltonian, steady-state quadrature squeezing of the cavity field is
numerically calculated to approach a limit of -3 dB, while frequency-modulated
quadrature squeezing approaches a limit of -14 dB, in the absence of
pure-dephasing, and as a function of the ensemble's size and detuning. The
impact of pure-dephasing on steady-state quadrature squeezing is shown to be
mitigated by increased detuning of the driving field, while frequency-modulated
squeezing is only shielded in a regime where the cumulative coupling and
driving rates are in excess of the pure-dephasing rate. Spin-squeezed
entanglement is also calculated to occur simultaneously with weakly-driven
frequency-modulated quadrature squeezing.

Quantum Physics