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Chinese Physics Letters

Generation of Squeezed States in Forward Three-Wave Mixing

Yajun Lü, Ling-An Wu, Meijuan Wu, Shiqun Li

Published Feb 1, 1998• 6 citations
Publisher

Abstract

We present a study of the generation of squeezed states through nonlinear three-wave mixing in media with an intensity-dependent index of refraction. In the semiclassical model, perfect squeezing for combination modes can be generated. Using the Fokker-Planck equation approach, the effects of pump (including squeezed pump) and loss are discussed. It is shown that the fluctuations of the pump place no fundamental limit to the degree of squeezing obtainable but losses do give an absolute limit.

DOI
10.1088/0256-307x/15/2/012

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We present a study of the generation of squeezed states through nonlinear three-wave mixing in media with an intensity-dependent index of refraction. In the semiclassical model, perfect squeezing for combination modes can be generated. Using the Fokker-Planck equation approach, the effects of pump (including squeezed pump) and loss are discussed. It is shown that the fluctuations of the pump place no fundamental limit to the degree of squeezing obtainable but losses do give an absolute limit.
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The deleterious effects of nonlinear dispersion on squeezed light in two-photon devices when absorption losses are included have been analyzed making use of the variables called two-mode quadrature-phase amplitudes. The uncertainties in the quadrature amplitudes have been computed from a generalized Fokker-Planck equation. The dependence of squeezing on the nonlinear coupling, the modulation (including the case of high modulations), the pumping phase (where nonlinear dispersion causes an intensity-dependent shift in the minimum squeezing), and the absorption losses have been studied.
An investigation is carried out of higher-order squeezing in a class of three- and four-wave mixing processes that can be modeled by a master equation. In (2N)th-order squeezing, as defined by Hong and Mandel, the Nth-power of the variance of a field quadrature falls below the value it would have for a coherent state. Higher-order squeezing is of interest because (i) it occurs in many processes in which ordinary (or second-order) squeezing occurs, and (ii) it allows a much larger fractional noise reduction to be achieved than ordinary squeezing. The master equation we use models a degenerate three- or four-wave process and takes into account the losses in the signal mode. We convert the master equation into a Fokker-Planck equation for the Wigner distribution function and solve it for a wide range of initial signal states (including thermal, coherent, Fock states, and mixtures of these). Results are presented for the enhancement of fourth- and sixth-order squeezing over second-order squeezing. Differences in the character of higher-order squeezing for different input states are pointed out. The role of losses in limiting the amount of achievable squeezing in all orders is especially investigated.