Abstract
An iterative predictor-corrector finite-difference time-domain method is used to solve the semiclassical Maxwell-Bloch system numerically without invoking any of the standard approximations such as the rotating-wave approximation. This approach permits a more exact study of self-induced transparency effects in a two-level atom. In addition to recovering the standard results, for instance, for , 2, and 4 pulses, several features in the results appear at the zeros of the driving pulse, where its time derivatives are maximum. Several ultrafast-pulse examples demonstrate that time-derivative- driven nonlinearities have a significant impact on the time evolution of a two-level atom system. Moreover, typical small-signal gain results are also obtained with our Maxwell-Bloch simulator. We illustrate that these time-derivative effects can be used to design an ultrafast, single-cycle pump pulse that completely inverts the two-level atom population. A pump-probe signal set is then used to illustrate gain in the probe signal.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 3082-3094 |
| Number of pages | 13 |
| Journal | Physical Review A |
| Volume | 52 |
| Issue number | 4 |
| DOIs | |
| State | Published - 1995 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
Cite this
Ultrafast pulse interactions with two-level atoms. / Ziolkowski, Richard W; Arnold, John M.; Gogny, Daniel M.
In: Physical Review A, Vol. 52, No. 4, 1995, p. 3082-3094.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Ultrafast pulse interactions with two-level atoms
AU - Ziolkowski, Richard W
AU - Arnold, John M.
AU - Gogny, Daniel M.
PY - 1995
Y1 - 1995
N2 - An iterative predictor-corrector finite-difference time-domain method is used to solve the semiclassical Maxwell-Bloch system numerically without invoking any of the standard approximations such as the rotating-wave approximation. This approach permits a more exact study of self-induced transparency effects in a two-level atom. In addition to recovering the standard results, for instance, for , 2, and 4 pulses, several features in the results appear at the zeros of the driving pulse, where its time derivatives are maximum. Several ultrafast-pulse examples demonstrate that time-derivative- driven nonlinearities have a significant impact on the time evolution of a two-level atom system. Moreover, typical small-signal gain results are also obtained with our Maxwell-Bloch simulator. We illustrate that these time-derivative effects can be used to design an ultrafast, single-cycle pump pulse that completely inverts the two-level atom population. A pump-probe signal set is then used to illustrate gain in the probe signal.
AB - An iterative predictor-corrector finite-difference time-domain method is used to solve the semiclassical Maxwell-Bloch system numerically without invoking any of the standard approximations such as the rotating-wave approximation. This approach permits a more exact study of self-induced transparency effects in a two-level atom. In addition to recovering the standard results, for instance, for , 2, and 4 pulses, several features in the results appear at the zeros of the driving pulse, where its time derivatives are maximum. Several ultrafast-pulse examples demonstrate that time-derivative- driven nonlinearities have a significant impact on the time evolution of a two-level atom system. Moreover, typical small-signal gain results are also obtained with our Maxwell-Bloch simulator. We illustrate that these time-derivative effects can be used to design an ultrafast, single-cycle pump pulse that completely inverts the two-level atom population. A pump-probe signal set is then used to illustrate gain in the probe signal.
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U2 - 10.1103/PhysRevA.52.3082
DO - 10.1103/PhysRevA.52.3082
M3 - Article
VL - 52
SP - 3082
EP - 3094
JO - Physical Review A
JF - Physical Review A
SN - 2469-9926
IS - 4
ER -