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 Scientific Lab., NM (USA)
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 6417187
- Report Number(s):
- LA-7623-MS
- Country of Publication:
- United States
- Language:
- English
Similar Records
Nonperturbative modeling of two-photon absorption in a three-state system
B-spline expansion bases for excited states and discretized scattering states
Two-photon excitation dynamics in bound two-body Coulomb systems including ac Stark shift and ionization
Journal Article
·
Sun Nov 21 23:00:00 EST 2004
· Journal of Chemical Physics
·
OSTI ID:20658061
B-spline expansion bases for excited states and discretized scattering states
Journal Article
·
Tue Dec 31 23:00:00 EST 1974
· Journal of Chemical Physics
·
OSTI ID:4146141
Two-photon excitation dynamics in bound two-body Coulomb systems including ac Stark shift and ionization
Journal Article
·
Mon May 15 00:00:00 EDT 2006
· Physical Review. A
·
OSTI ID:20787246
Related Subjects
640305 -- Atomic
Molecular & Chemical Physics-- Atomic & Molecular Theory-- (-1987)
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
658000* -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ABSORPTION
ANALYTICAL SOLUTION
ATOMS
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC RADIATION
ELEMENTARY PARTICLES
ENERGY-LEVEL TRANSITIONS
EQUATIONS
EXCITATION
INTERACTIONS
LASERS
MASSLESS PARTICLES
PHOTONS
RADIATIONS
RESONANCE
SCHROEDINGER EQUATION
SPECTRAL SHIFT
STARK EFFECT
WAVE EQUATIONS
Molecular & Chemical Physics-- Atomic & Molecular Theory-- (-1987)
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
658000* -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ABSORPTION
ANALYTICAL SOLUTION
ATOMS
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC RADIATION
ELEMENTARY PARTICLES
ENERGY-LEVEL TRANSITIONS
EQUATIONS
EXCITATION
INTERACTIONS
LASERS
MASSLESS PARTICLES
PHOTONS
RADIATIONS
RESONANCE
SCHROEDINGER EQUATION
SPECTRAL SHIFT
STARK EFFECT
WAVE EQUATIONS