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Hamiltonian models of multiphoton processes and four--photon squeezed states via nonlinear canonical transformations

Silvio De Siena·Antonio Di Lisi·Fabrizio Illuminati
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Abstract

We introduce nonlinear canonical transformations that yield effective Hamiltonians of multiphoton down conversion processes, and we define the associated non-Gaussian multiphoton squeezed states as the coherent states of the multiphoton Hamiltonians. We study in detail the four-photon processes and the associated non-Gaussian four-photon squeezed states. The realization of squeezing, the behavior of the field statistics, and the structure of the phase space distributions show that these states realize a natural four-photon generalization of the two-photon squeezed states.

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Silvio De Siena, Antonio Di Lisi, Fabrizio Illuminati. 2002-01-28. Hamiltonian models of multiphoton processes and four--photon squeezed states via nonlinear canonical transformations. https://arxiv.org/abs/quant-ph/0201124

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