Composite pulses for high-fidelity population inversion in optically dense, inhomogeneously broadened atomic ensembles

Abstract

We derive composite pulse sequences that achieve high-fidelity excitation of two-state systems in an optically dense, inhomogeneously broadened ensemble. The composite pulses are resistant to distortions due to the back-action of the medium they propagate in and are able to create high-fidelity inversion to optical depths $\alpha z>10$. They function well with smooth pulse shapes used for coherent control of optical atomic transitions in quantum computation and communication. They are an intermediary solution between single $\pi$-pulse excitation schemes and adiabatic passage schemes, being far more error tolerant than the former but still considerably faster than the latter.

9 pages, 4 figures, submitted to Phys. Rev. A

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• Shortcut to adiabatic passage in two and three level atoms
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• Correction of Arbitrary Errors in Population Inversion of Quantum Systems by Universal Composite Pulses
• Analysis of a quantum memory for photons based on controlled reversible inhomogeneous broadening
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• Three-state coherent control using narrowband and passband sequences
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• Phonon Number Measurement Using Optimal Composite Pulses