Complete population transfer in a three-state quantum system by a train of pairs of coincident pulses

Abstract

A technique for complete population transfer between the two end states $|1⟩$ and $|3⟩$ of a three-state quantum system with a train of $N$ pairs of resonant and coincident pump and Stokes pulses is introduced. A simple analytic formula is derived for the ratios of the pulse amplitudes in each pair for which the maximum transient population $P_2(t)$ of the middle state $|2⟩$ is minimized, $P_2^{\max }={\sin }^2(\pi /4N)$. It is remarkable that, even though the pulses are on exact resonance, $P_2(t)$ is damped to negligibly small values even for a small number of pulse pairs. The population dynamics resembles generalized $\pi$-pulses for small $N$ and stimulated Raman adiabatic passage for large $N$ and therefore this technique can be viewed as a bridge between these well-known techniques.

References in corpus (2)

• Population transfer between two quantum states by piecewise chirping of femtosecond pulses: Theory and experiment
• Piecewise adiabatic population transfer in a molecule via a wave packet

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