Multiple photon resonances
A detailed theoretical analysis is presented of the interaction of intense near-resonant monochromatic radiation with an N-level anharmonic oscillator. In particular, the phenomenon of multiple photon resonance, the process by which an N-level system resonantly absorbs two or more photons simultaneously, is investigated. Starting from the Schroedinger equation, diagrammatic techniques are developed that allow the resonant process to be analyzed quantitatively, in analogy with well-known two-level coherent phenomena. In addition, multiple photon Stark shifts of the resonances, shifts absent in two-level theory, are obtained from the diagrams. Insights into the nature of multiple photon resonances are gained by comparing the quantum mechanical system with classical coupled pendulums whose equations of motion possess identical eigenvalues and eigenvectors. In certain limiting cases, including that of the resonantly excited N-level harmonic oscillator and that of the equally spaced N-level system with equal matrix elements, analytic results are derived. The influence of population relaxation and phase-disrupting collisions on the multiple photon process are also analyzed, the latter by extension of the diagrammatic technique to the density matrix equations of motion. 11 figures.
- Research Organization:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 6417187
- Report Number(s):
- LA-7623-MS; TRN: 79-011136
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ATOMS
EXCITATION
PHOTONS
INTERACTIONS
ABSORPTION
ANALYTICAL SOLUTION
ELECTROMAGNETIC RADIATION
LASERS
RESONANCE
SCHROEDINGER EQUATION
SPECTRAL SHIFT
STARK EFFECT
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
ENERGY-LEVEL TRANSITIONS
EQUATIONS
MASSLESS PARTICLES
RADIATIONS
WAVE EQUATIONS
658000* - Mathematical Physics- (-1987)
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics
640305 - Atomic
Molecular & Chemical Physics- Atomic & Molecular Theory- (-1987)