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 journalArticle

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 languageEnglish (US)
Article number1550021
JournalJournal of Nonlinear Optical Physics and Materials
Volume24
Issue number2
DOIs
StatePublished - Jun 7 2015

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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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