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

De Siena, Silvio; Di Lisi, Antonio; Illuminati, Fabrizio

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

Authors

De Siena, Silvio

Di Lisi, Antonio

Illuminati, Fabrizio

Description

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.
4 pages, 6 figures