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Two-mode squeezing in Raman couplers

Jaromı́r Fiurášek, Jan Peřina

Published Feb 1, 2000• 0 citations
OpenAlex

Abstract

We investigate two-mode squeezing of compound Stokes-anti-Stokes modes propagating in a Raman coupler with a broad reservoir phonon system. Three types of squeezing: principal squeezing, generalized squeezing and sum squeezing are examined and their relations are identified. The definition of generalized squeezing is extended to an arbitrary number of modes, and a multimode uncertainty product is introduced. The quantum statistical properties of the optical fields propagating in the coupler are treated within the framework of the generalized superposition of the coherent signal and quantum noise. According to this model, generalized squeezing appears whenever the Glauber-Sudarshan quasidistribution does not exist as an ordinary function.

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We investigate two-mode squeezing of compound Stokes-anti-Stokes modes propagating in a Raman coupler with a broad reservoir phonon system. Three types of squeezing: principal squeezing, generalized squeezing and sum squeezing are examined and their relations are identified. The definition of generalized squeezing is extended to an arbitrary number of modes, and a multimode uncertainty product is introduced. The quantum statistical properties of the optical fields propagating in the coupler are treated within the framework of the generalized superposition of the coherent signal and quantum noise. According to this model, generalized squeezing appears whenever the Glauber-Sudarshan quasidistribution does not exist as an ordinary function.
We investigate two-mode squeezing of compound Stokes-anti-Stokes modes propagating in a Raman coupler with a broad reservoir phonon system. Three types of squeezing: principal squeezing, generalized squeezing and sum squeezing are examined and their relations are identified. The definition of generalized squeezing is extended to an arbitrary number of modes, and a multimode uncertainty product is introduced. The quantum statistical properties of the optical fields propagating in the coupler are treated within the framework of the generalized superposition of the coherent signal and quantum noise. According to this model, generalized squeezing appears whenever the Glauber-Sudarshan quasidistribution does not exist as an ordinary function.
Statistical properties of optical fields in nonlinear couplers composed of two waveguides in which Raman or Brillouin processes (with classical pumping) are in operation and which are mutually connected through the mutual Stokes and/or anti-Stokes linear interactions are investigated within the framework of a generalized superposition of coherent fields and quantum noise. Heisenberg equations describing the couplers are solved both analytically under special conditions and numerically in general cases. Regimes for nonclassical properties of optical fields, such as sub-Poissonian photon-number statistics, negative reduced moments of integrated intensity and squeezing of quadrature fluctuations are discussed for the cases of single and compound fields. General results are compared with those from the short-length approximation.
We study a generalized notion of two-mode squeezing for the Stokes and anti-Stokes fields in a model of a cavity Raman laser, which leads to a significant reduction in decoherence or quantum noise. The model comprises a lossless cavity with classical pump, unsaturated medium, and arbitrary homogeneous broadening and dispersion. Allowing for arbitrary linear combinations of the two modes in the definition of quadrature variables, we find that there always exists a combination of the two output modes that exhibits quadrature squeezing with noise reduction below the vacuum level. The number of noise photons for this combination mode is proportional to the square root of the number of Stokes noise photons.
We investigate nonlinear couplers whose operation is based on Raman or Brillouin scattering. A quantum approach is used. Strong coherent laser pumping is assumed and linearized Heisenberg-Langevin equations of motion are solved. The influence of linear coupling constants, losses and phase mismatches on the dynamical behaviour of the coupler is discussed. Quantum statistical properties of optical modes involved in the interaction are investigated within the framework of the generalized superposition of coherent signal and quantum noise. Most attention is devoted to the possibility of generation of non-classical light. It is shown that such light can be generated only in compound modes according to our model and influence of various parameters on the generation is discussed. Optimal conditions for the generation of squeezed light are found.
We investigate the dynamics of a two-mode stimulated Raman scattering model including propagation and the quantum correlations that develop between the Stokes and anti-Stokes fields. For example, under certain conditions two-mode squeezed states can result. We report results for quadrature squeezing and sum squeezing. Quadrature squeezing only occurs when the anti-Stokes coupling constant is larger than the Stokes coupling constant. The amount of squeezing increases as the damping of the material polarization is increased. \textcopyright{} 1996 The American Physical Society.