Adiabatic representation for the coherent dynamics ofN-level systems in intense laser fields
- 1 May 1991
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 43 (9) , 5012-5021
- https://doi.org/10.1103/physreva.43.5012
Abstract
The exact adiabatic representation scheme of Nguyen-Dang [J. Chem. Phys. 90, 2657 (1989)] is applied to time evolution of the general laser-driven two- and three-level systems. It leads to exact formal results that do not assume a specific shape of the pulse and do not invoke the rotating-wave approximation (RWA). These results are a generalization of the corresponding RWA results because the former depend on an effective pulse area that varies with the detuning and involves a Rabi frequency modulated by a phase cphi(t). In addition, the exact adiabatic representation scheme is applied to N-level systems exhibiting various dynamic symmetries and, as in the previous cases, leads to results that do not invoke the RWA and depend on an effective pulse area. Time-reversal analysis on two- and three-level systems leads to quantization of the effective pulse area for time-symmetric pulses. This quantization leads to localized asymptotic population distributions.Keywords
This publication has 21 references indexed in Scilit:
- Adiabatic time evolution of atoms and molecules in intense radiation fieldsThe Journal of Chemical Physics, 1989
- Coherent propagation of intense ultrashort laser pulses in a molecular multilevel mediumThe Journal of Chemical Physics, 1988
- Three-state systems driven by resonant optical pulses of different shapesJournal of the Optical Society of America B, 1988
- Adiabatic excitation of multilevel systemsPhysical Review A, 1985
- Multiphoton ionization in strong fieldsPhysical Review A, 1984
- Transition probability of a two-level atom interacting with a time-symmetric pulsePhysical Review A, 1984
- Rotating-frame transformations: A new approximation for multiphoton absorption and dissociation in laser fieldsPhysical Review A, 1984
- Adiabatic following in multilevel systemsPhysical Review A, 1984
- Atoms in circularly polarised fields: the dilation-analytic approachJournal of Physics A: General Physics, 1983
- Analytic solutions to the two-state problem for a class of coupling potentialsPhysical Review A, 1981