Entropy and variance squeezing of two coupled modes interacting with a two-level atom: Frequency converter type

Journal Article · Wed Feb 15 04:00:00 EST 2006 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2005.09.004· OSTI ID:20766988

Khalil, E M ^[1]; Abdalla, M Sebawe ^[2]; Obada, A S.-F. ^[1]

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1. Mathematics Department, Faculty of Science, Al-Azher University, Nassr City 11884, Cairo (Egypt)
2. Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451 (Saudi Arabia)

A modified Jaynes-Cummings model which consists of a two-level atom interacting with two modes of the electromagnetic field is introduced. More precisely we have considered a Hamiltonian model that includes two types of interaction: One is the field-field (frequency converter type) and the other is the atom-field interaction. By invoking a canonical transformation an exact solution of the wave function in the Schroedinger picture is obtained. The result presented in this context is used to discuss the atomic inversion as well as the entropy squeezing and variance squeezing phenomena. We have shown that the existence of the second field coupling parameter reduces the amount of squeezing in all quadratures, while the effect of the detuning parameter would lead to the superstructure phenomenon which becomes more pronounced upon increasing the mean photon numbers, in the states which are taken to be converter states.

• OSTI ID: 20766988
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 2 Vol. 321; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ATOMS
CANONICAL TRANSFORMATIONS
ELECTROMAGNETIC FIELDS
ENTROPY
EXACT SOLUTIONS
FREQUENCY CONVERTERS
HAMILTONIANS
INTERACTIONS
PHOTONS
QUADRATURES
SCHROEDINGER PICTURE
WAVE FUNCTIONS