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Physics Letters A

Stimulated Raman adiabatic passage with small two-photon detunings and its geometrical description

Hayato Goto, Kouichi Ichimura

Published Oct 12, 2007• 5 citations
Publisher
DOI
10.1016/j.physleta.2007.10.026

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In this work we develop a theory of fractional stimulated Raman adiabatic passage (FSTIRAP) using frequency-chirped pulses (CFSTIRAP). We analyze the CFSTIRAP as a method to create a coherent superposition state maximizing coherence between the initial and the target state in the presence of the two-photon detuning. We demonstrate that the pulse chirping permits relaxation of the condition of the two-photon resonance required for adiabatic passage in STIRAP and FSTIRAP. The choice of the chirp rate $|\ensuremath{\alpha}|=|\ensuremath{\delta}|/({t}_{p}\ensuremath{-}{t}_{s})$ enables adiabatic passage to a predetermined state between two nearly degenerate final states within a broad range of values of the two-photon detuning and the chirp rate. The proposed schemes will expand the scope of quantum control methods and contribute to the further improvement of quantum imaging, sensing, and metrology.
We theoretically study the generation of coherence in generalized two-level atoms with hyperfine structure by utilizing the detuning-induced stimulated Raman adiabatic passage (D-STIRAP). As expected, the degree of attainable coherence between the ground and excited states cannot be as large as that for the ideal two-level atoms without hyperfine structure. However, we find that the substantial degree of coherence can still be produced with small modulations, and the modulation period is essentially determined by the hyperfine splittings in the ground and excited states. The D-STIRAP scheme in generalized two-level atoms is sufficiently robust against the various parameters such as intensities of lasers, initial detuning, time delay between the laser pulses, and Doppler broadening. As a specific example, we show realistic results for the D1{D}_{1}D1​ transition of Na.