Squeezing with Nonlinear Optics
The earliest experiments on nonclassical light sources were able to produce photon-antibunching, or sub-Poissonian light, from single-atom resonance fluorescence . However, the most useful experimental techniques for generating squeezing [2,3] have relied on nonlinear optical  techniques. There are a variety of possible methods , depending on the type of nonlinearity, and number of interacting modes involved. The choice of optical nonlinearity reduces to either three-wave or four-wave mixing, which correspond to quadratic or cubic nonlinear response functions respectively. Each of these has advantages and disadvantages. Three wave mixing requires a pump field at twice the frequency of the field-mode being squeezed. While this is a complication, it is also an advantage in some respects; any sidebands induced on the pump due to phase noise have a large frequency offset from the squeezed fields. On the other hand, four-wave mixing does not require any frequency-doubling step, which has advantages in terms of simplicity. This was also the first method , used to obtain squeezing with quadrature noise below the vacuum level.
KeywordsNonlinear Optic Phase Noise Operator Equation Noise Source Cavity Mode
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