Degenerate parametric amplification of squeezed photons: Explicit solutions, statistics, means and variances

P. B. Acosta-Humánez; S. I. Kryuchkov; E. Suazo; Sergei Suslov

doi:10.1142/S0218863515500216

Degenerate parametric amplification of squeezed photons: Explicit solutions, statistics, means and variances

P. B. Acosta-Humánez, S. I. Kryuchkov, E. Suazo, Sergei Suslov

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

In the Schrödinger picture, we find explicit solutions for two models of degenerate parametric oscillators in the case of multi-parameter squeezed input photons. The corresponding photon statistics and Wigner's function are also derived in coordinate representation. Their time evolution is investigated in detail. The unitary transformation and an extension of the squeeze/evolution operator are briefly discussed.

Original language	English (US)
Article number	1550021
Journal	Journal of Nonlinear Optical Physics and Materials
Volume	24
Issue number	2
DOIs	https://doi.org/10.1142/S0218863515500216
State	Published - Jun 7 2015

Keywords

degenerate parametric amplifier
differential Galois theory
Ermakov-type system
Ince equation
interaction picture
Kovacic algorithm
Time-dependent Schrödinger equation
Wigner function

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Electronic, Optical and Magnetic Materials
Physics and Astronomy (miscellaneous)

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10.1142/S0218863515500216

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AU - Acosta-Humánez, P. B.

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AU - Suazo, E.

AU - Suslov, Sergei

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KW - Time-dependent Schrödinger equation

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