Analytic solution and pulse area theorem for three-level atoms

Abstract

We report an analytic solution for a three-level atom driven by arbitrary time-dependent electromagnetic pulses. In particular, we consider far-detuned driving pulses and show an excellent match between our analytic result and the numerical simulations. We use our solution to derive a pulse area theorem for three--level $V$ and $\Lambda$ systems without making the rotating wave approximation. Formulated as an energy conservation law, this pulse area theorem provides a simple picture for a pulse propagation through a three--level media.

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• Orientational quantum revivals induced by a single-cycle terahertz pulse
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• Photon echoes in optically dense media
• Vector-soliton storage and three-pulse-area theorem
• Area theorem in a ring laser cavity
• Anomalous Rabi oscillations in multilevel quantum systems
• Magnus expansion method for two-level atom interacting with few-cycle pulse
• Area theorem for surface plasmons interacting with resonant atoms