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

2012/01/04 by Andon A. Rangelov, Nikolay V. Vitanov · 40 citations
Computer Science · Mathematics · Physics and Astronomy · #Adiabatic process #Amplitude #Atomic physics #Mathematics #Physics #Population #Population transfer #Pulse (music) #Quantum Information and Cryptography #Quantum mechanics #Quantum optics and atomic interactions #Resonance (particle physics) #Spectroscopy and Quantum Chemical Studies #State (computer science) #Stimulated Raman adiabatic passage #Transfer (computing) #quant-ph

paper · pdf · doi:10.1103/physreva.85.043407

published in Physical Review A 85(4) (American Physical Society)

arxiv created 2012/01/04 · openalex publication_date 2012/04/09 · arxiv updated 2015/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A technique for complete population transfer between the two end states |1\ensuremath⟩ and |3\ensuremath⟩ 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 P2(t) of the middle state |2\ensuremath⟩ is minimized, P2max=sin2(\ensuremathπ/4N). It is remarkable that, even though the pulses are on exact resonance, P2(t) is damped to negligibly small values even for a small number of pulse pairs. The population dynamics resembles generalized \ensuremathπ 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.

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