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) |
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Article number | 1550021 |
Journal | Journal of Nonlinear Optical Physics and Materials |
Volume | 24 |
Issue number | 2 |
DOIs | |
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)