### 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

*Physical Review A*,

*52*(4), 3082-3094. https://doi.org/10.1103/PhysRevA.52.3082

**Ultrafast pulse interactions with two-level atoms.** / Ziolkowski, Richard W; Arnold, John M.; Gogny, Daniel M.

Research output: Contribution to journal › Article

*Physical Review A*, vol. 52, no. 4, pp. 3082-3094. https://doi.org/10.1103/PhysRevA.52.3082

}

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.

UR - http://www.scopus.com/inward/record.url?scp=0000702679&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000702679&partnerID=8YFLogxK

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 -