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

2002/01/28 by Silvio De Siena, De Siena, Silvio, Antonio Di Lisi +3
Chemistry · Physics and Astronomy · #FOS: Physical sciences #Laser-Matter Interactions and Applications #Molecular spectroscopy and chirality #Quantum Physics (quant-ph) #Quantum optics and atomic interactions #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0201124

4 pages, 6 figures

arxiv created 2002/01/28 · openalex publication_date 2002/01/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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