Optimization of multistate STIRAP by pulse shaping
Abstract
We propose a pulse-shaping method for improving population transfer in multistate stimulated Raman adiabatic passage (STIRAP) with nearest-neighbour couplings only. The method extends the quasiparallel-eigenenergy approach, previously used for two- and three-state systems, to multistate chains without introducing additional shortcut fields. The pump and Stokes fields are shaped so that the eigenenergies closest to the dark state remain nearly parallel to it during the central part of the interaction, where nonadiabatic transitions are most likely to occur. We derive analytic prescriptions for the required pulse shapes and apply them to five-, seven-, and nine-state chains formed by magnetic sublevels of degenerate manifolds with angular momenta Jg→ Je=Jg and Jg→ Je=Jg−1 driven by a pair of right- and left-circularly polarized pulses. Numerical simulations show that the optimized pulses can reduce the population transfer error by several orders of magnitude compared to standard Gaussian pulses. The same shapes also improve robustness against variations of the peak Rabi frequency, the single-photon detuning, and the multiphoton detuning. The comparison between the two angular-momentum families shows that the Jg→ Jg chains are generally more favourable, because their Clebsch-Gordan coefficients keep the relevant bright-state gap larger in the region where the dark state changes most rapidly. Finally, simulations with spontaneous emission show that the optimized resonant pulses remain advantageous in the lossy regime as well.
Versions
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BibTeX
@misc{dimitrov2026optimization,
title = {{Optimization of multistate STIRAP by pulse shaping}},
author = {Julian K. Dimitrov and Nikolay V. Vitanov},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2607.15915},
eprint = {2607.15915},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.15915},
}
RIS
TY - UNPB
TI - Optimization of multistate STIRAP by pulse shaping
AU - Julian K. Dimitrov
AU - Nikolay V. Vitanov
PY - 2026
DA - 2026/11/03
PB - arXiv
DO - 10.48550/arxiv.2607.15915
UR - https://arxiv.org/abs/2607.15915
AB - We propose a pulse-shaping method for improving population transfer in multistate stimulated Raman adiabatic passage (STIRAP) with nearest-neighbour couplings only. The method extends the quasiparallel-eigenenergy approach, previously used for two- and three-state systems, to multistate chains without introducing additional shortcut fields. The pump and Stokes fields are shaped so that the eigenenergies closest to the dark state remain nearly parallel to it during the central part of the interaction, where nonadiabatic transitions are most likely to occur. We derive analytic prescriptions for the required pulse shapes and apply them to five-, seven-, and nine-state chains formed by magnetic sublevels of degenerate manifolds with angular momenta J_g→ J_e=J_g and J_g→ J_e=J_g−1 driven by a pair of right- and left-circularly polarized pulses. Numerical simulations show that the optimized pulses can reduce the population transfer error by several orders of magnitude compared to standard Gaussian pulses. The same shapes also improve robustness against variations of the peak Rabi frequency, the single-photon detuning, and the multiphoton detuning. The comparison between the two angular-momentum families shows that the J_g→ J_g chains are generally more favourable, because their Clebsch-Gordan coefficients keep the relevant bright-state gap larger in the region where the dark state changes most rapidly. Finally, simulations with spontaneous emission show that the optimized resonant pulses remain advantageous in the lossy regime as well.
ER -