Harmonic behavior of the multiple quantum resonances of a two-level atom driven by a fully-amplitude-modulated field
- 1 August 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 40 (3) , 1447-1455
- https://doi.org/10.1103/physreva.40.1447
Abstract
We present a detailed theoretical treatment of the response of a two-level atom to a fully-amplitude-modulated, narrow-band optical field. Specifically, we calculate the resonance behavior of modulated fluorescence and susceptibility components from the scalar continued-fraction solution of the optical Bloch equations. In the limit of vanishing damping the resonances are generally doubly branched: One set of branches reproduces the resonances of the time-averaged fluorescence, while the second set is different for each harmonic component. However, each branch is uniquely associated with an odd multiple quantum resonance. In analogy with magnetic resonance work, we derive analytical expressions for the generalized Bloch-Siegert shifts of the additional resonances. We discuss also the possibility of experimental verification of the theory.Keywords
This publication has 29 references indexed in Scilit:
- Analytical expressions for the positions of the longitudinal and transverse resonances in radio-frequency spectroscopyJournal of Physics B: Atomic and Molecular Physics, 1974
- Theory of the Bloch-Siegert shiftJournal of Physics B: Atomic and Molecular Physics, 1974
- Analytical expressions for the Bloch-Siergert shiftJournal of Physics B: Atomic and Molecular Physics, 1974
- Power series expansion for the RF resonance shiftJournal of Physics B: Atomic and Molecular Physics, 1973
- A quantum calculation of the higher order terms in the Bloch-Siegert shiftJournal of Physics B: Atomic and Molecular Physics, 1973
- Misalignment effects in magnetic resonanceJournal of Physics B: Atomic and Molecular Physics, 1973
- Saturation effects in RF spectroscopy. I. General theoryJournal of Physics B: Atomic and Molecular Physics, 1972
- Saturation effects in RF spectroscopy. II. Multiple quantum transitionsJournal of Physics B: Atomic and Molecular Physics, 1972
- Quantum-Electrodynamical Theory of Atoms Interacting with High-Intensity Radiation FieldsPhysical Review A, 1971
- Solution of the Schrödinger Equation with a Hamiltonian Periodic in TimePhysical Review B, 1965