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 | |
| State | Published - 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)
Cite this
Degenerate parametric amplification of squeezed photons : Explicit solutions, statistics, means and variances. / Acosta-Humánez, P. B.; Kryuchkov, S. I.; Suazo, E.; Suslov, Sergei.
In: Journal of Nonlinear Optical Physics and Materials, Vol. 24, No. 2, 1550021, 07.06.2015.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Degenerate parametric amplification of squeezed photons
T2 - Explicit solutions, statistics, means and variances
AU - Acosta-Humánez, P. B.
AU - Kryuchkov, S. I.
AU - Suazo, E.
AU - Suslov, Sergei
PY - 2015/6/7
Y1 - 2015/6/7
N2 - 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.
AB - 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.
KW - degenerate parametric amplifier
KW - differential Galois theory
KW - Ermakov-type system
KW - Ince equation
KW - interaction picture
KW - Kovacic algorithm
KW - Time-dependent Schrödinger equation
KW - Wigner function
UR - http://www.scopus.com/inward/record.url?scp=84938685319&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84938685319&partnerID=8YFLogxK
U2 - 10.1142/S0218863515500216
DO - 10.1142/S0218863515500216
M3 - Article
AN - SCOPUS:84938685319
VL - 24
JO - Journal of Nonlinear Optical Physics and Materials
JF - Journal of Nonlinear Optical Physics and Materials
SN - 0218-8635
IS - 2
M1 - 1550021
ER -