Exact treatment of the Jaynes-Cummings model under the action of an external classical field

Journal Article · Thu Sep 15 00:00:00 EDT 2011 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2011.05.005· OSTI ID:21583331

Khalil, E M ^[1]; Obada, A S.-F. ^[1]

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1. Mathematics Department, Faculty of Science, Al-Azher University, Nassr City 11884, Cairo (Egypt)

We consider the usual Jaynes-Cummings model (JCM), in the presence of an external classical field. Under a certain canonical transformation for the Pauli operators, the system is transformed into the usual JCM. Using the equations of motion in the Heisenberg picture, exact solutions for the time-dependent dynamical operators are obtained. In order to calculate the expectation values of these operators, the wave function has been constructed. It has been shown that the classical field augments the atomic frequency {omega}{sub 0} and mixes the original atomic states. Changes of squeezing from one quadrature to another is also observed for a strong value of the coupling parameter of the classical field. Furthermore, the system in this case displays partial entanglement and the state of the field losses its purity. - Highlights: > The time-dependent JCM, in the presence of the classical field, is still one of the essential problems in the quantum optics. > A new approach is applied through a certain canonical transformation. > The classical field augments the atomic frequency {omega}{sub 0} and mixes the original atomic states.

• OSTI ID: 21583331
• Journal Information: Annals of Physics (New York), Vol. 326, Issue 9; Other Information: DOI: 10.1016/j.aop.2011.05.005; PII: S0003-4916(11)00093-5; Copyright (c) 2011 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CANONICAL TRANSFORMATIONS
COUPLING
EQUATIONS OF MOTION
EXACT SOLUTIONS
HEISENBERG PICTURE
QUADRATURES
QUANTUM ENTANGLEMENT
TIME DEPENDENCE
WAVE FUNCTIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
MATHEMATICAL SOLUTIONS
PARTIAL DIFFERENTIAL EQUATIONS
TRANSFORMATIONS