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arXiv 0706.3755quant-phnlin.PS
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双脉冲在量子混合基态介质中的传输

Two-Pulse Propagation in Media with Quantum-Mixed Ground States

B. D. Clader, J. H. Eberly

摘要:

我们研究了在双光子共振条件下,包括非均匀展宽的完全相干双脉冲在双光子型介质中的传输。我们研究了短脉冲制备和介质制备的影响。我们对比的情况下,这两个脉冲有匹配的信封或没有,并对比的情况下,基态相干存在或不存在。我们发现,单脉冲自诱导透明(SIT)的面积定理的扩展解释是能够统一的双脉冲传播的情况下,包括电磁诱导透明(EIT)和受激拉曼散射(SRS)的某些方面。我们提出的数值解的三个级别和简化的两个级别的密度矩阵方程和麦克斯韦方程组,并表明,许多功能的解决方案的快速解释的帮助下,我们还提供了限制情况下的脉冲形状和准备的介质的解析解。在大的单光子失谐的限制,我们表明,通常使用的两个级别的方程是不可靠的脉冲面积在2 $π$范围内,这使得令人困惑的功能以前的数值工作被理解。

英文摘要:

We examine fully coherent two-pulse propagation in a lambda-type medium, under two-photon resonance conditions and including inhomogeneous broadening. We examine both the effects of short pulse preparation and the effects of medium preparation. We contrast cases in which the two pulses have matched envelopes or not, and contrast cases in which ground state coherence is present or not. We find that an extended interpretation of the Area Theorem for single-pulse self-induced transparency (SIT) is able to unify two-pulse propagation scenarios, including some aspects of electromagnetically-induced transparency (EIT) and stimulated Raman scattering (SRS). We present numerical solutions of both three-level and adiabatically reduced two-level density matrix equations and Maxwell's equations, and show that many features of the solutions are quickly interpreted with the aid of analytic solutions that we also provide for restricted cases of pulse shapes and preparation of the medium. In the limit of large one-photon detuning, we show that the two-level equations commonly used are not reliable for pulse Areas in the 2$π$ range, which allows puzzling features of previous numerical work to be understood.

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