Semiclassical analysis of long-wavelength multiphoton processes: The periodically driven harmonic oscillator

Journal Article · Fri Nov 01 04:00:00 EST 2002 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.66.053402· OSTI ID:20632316

Fox, Ronald F; Vela-Arevalo, Luz V ^[1]

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1. Center for Nonlinear Sciences and School of Physics, Georgia Institute of Technology, Atlanta, Georgia, 30332-0430 (United States)

The problem of multiphoton processes for intense, long-wavelength irradiation of atomic and molecular electrons is presented. The recently developed method of quasiadiabatic time evolution is used to obtain a nonperturbative analysis. When applied to the standard vector potential coupling, an exact auxiliary equation is obtained that is in the electric dipole coupling form. This is achieved through application of the Goeppert-Mayer gauge. While the analysis to this point is general and aimed at microwave irradiation of Rydberg atoms, a Floquet analysis of the auxiliary equation is presented for the special case of the periodically driven harmonic oscillator. Closed form expressions for a complete set of Floquet states are obtained. These are used to demonstrate that for the oscillator case there are no multiphoton resonances.

• OSTI ID: 20632316
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 66; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ATOMS
COUPLING
ELECTRIC DIPOLES
ELECTRONS
HARMONIC OSCILLATORS
IRRADIATION
MULTI-PHOTON PROCESSES
OPTICS
OSCILLATORS
PERIODICITY
POTENTIALS
RESONANCE
RYDBERG STATES
SEMICLASSICAL APPROXIMATION
VECTORS
WAVELENGTHS