  We present a protocol to generate a large degree of squeezing of a boson
(light) field mode strongly coupled to a two-level system in the dispersive
regime. Our protocol exploits the strong dispersive coupling to introduce a
time dependent frequency change of the boson field. With an appropriately timed
sequence of sudden frequency changes, the quantum noise fluctuations in one
quadrature of the field can be reduced well below the standard quantum limit,
with a correspondingly increased uncertainty in the orthogonal quadrature. Even
in the presence of realistic noise and imperfections, the protocol should be
capable of generating substantial squeezing with present experimental
capabilities.
