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arXiv:1108.2671 · Physical Review A

Adiabatic passage in the presence of noise

T. Noel, Matthew Dietrich, Nathan Kurz, Gang Shu, J. Wright, B. B. Blinov

Published Feb 1, 2012• 24 citations
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Abstract

We report on an experimental investigation of rapid adiabatic passage (RAP) in a trapped barium ion system. RAP is implemented on the transition from the $6{S}_{1/2}$ ground state to the metastable $5{D}_{5/2}$ level by applying a laser at 1.76 $\ensuremath{\mu}$m. We focus on the interplay of laser frequency noise and laser power in shaping the effectiveness of RAP, which is commonly assumed to be a robust tool for high-efficiency population transfer. However, we note that reaching high state transfer fidelity requires a combination of small laser linewidth and large Rabi frequency.

DOI
10.1103/physreva.85.023401

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We describe experimental results of the generation of superposition states in a two-level system, 4sS1∕24s\phantom{\rule{0.2em}{0ex}}{S}_{1∕2}4sS1∕2​ and 3dD5∕23d\phantom{\rule{0.2em}{0ex}}{D}_{5∕2}3dD5∕2​ states, of a single calcium ion. The generation method is based on population transfer via rapid adiabatic passage (RAP), proposed by Vitanov and Shore [Phys. Rev. A 73, 053402 (2006)]. The coherence of the generated superposition state is evaluated with a Ramsey-like interferometry method and a fringe visibility of up to 0.93 is obtained. The state generation shows strong robustness with respect to the RAP pulse parameters, including frequency chirp width and Rabi frequency.
We report an experimental demonstration of composite adiabatic passage (CAP) for robust and efficient manipulation of two-level systems. The technique represents a altered version of rapid adiabatic passage (RAP), driven by composite sequences of radiation pulses with appropriately chosen phases. We implement CAP with radio-frequency pulses to invert (i.e., to rephase) optically prepared spin coherences in a Pr3+:Y2SiO5{\text{Pr}}^{3+}\text{:}{\text{Y}}_{2}{\text{SiO}}_{5}Pr3+:Y2​SiO5​ crystal. We perform systematic investigations of the efficiency of CAP and compare the results with conventional $\ensuremath{\pi}$ pulses and RAP. The data clearly demonstrate the superior features of CAP with regard to robustness and efficiency, even under conditions of weakly fulfilled adiabaticity. The experimental demonstration of composite sequences to support adiabatic passage is of significant relevance whenever a high efficiency or robustness of coherent excitation processes need to be maintained, e.g., as required in quantum information technology.
The chirped-pulse interaction in the adiabatic coupling regime induces cyclic permutations of the energy states of a three-level system in the VVV-type configuration, which process is known as the three-level chirped rapid adiabatic passage (RAP). Here we show that a spectral hole in a chirped pulse can turn on or off the level mixing at adiabatic crossing points of this process, reducing the system to an effective two-level system. The given hybrid adiabatic-nonadiabatic transition enables selective excitation of the three-level system, controlled by the laser intensity and spectral position of the hole, as well as the sign of the chirp parameter. Experiments performed with shaped femtosecond laser pulses and the three lowest energy levels (5S1/25{S}_{1/2}5S1/2​, 5P1/25{P}_{1/2}5P1/2​, and 5P3/25{P}_{3/2}5P3/2​) of atomic rubidium (Rb)(\mathrm{Rb})(Rb) show good agreement with the theoretically analyzed dynamics. The result indicates that our method, when being combined with the ordinary chirped RAP, implements an adiabatic transition between the Raman-coupled excited states. Furthermore, our laser intensity-dependent control may have applications including selective excitations of atoms or ions arranged in space when being used in conjunction with laser beam profile programming.
We report on rapid adiabatic passage (RAP) in a Pr3+:Y2SiO5 crystal, cooled to cryogenic temperatures. The medium is prepared by optical pumping and spectral hole burning, creating a spectrally isolated two-level system within the inhomogeneous bandwidth of the 3H4 → 1D2 transition of the Pr3+ ions. A chirped laser pulse drives a RAP process in the medium, i.e. inverts the initial population distribution. We study the properties and dynamics of RAP by means of fluorescence detection, absorption spectroscopy and amplified spontaneous emission. Time-resolved absorption measurements serve to monitor the adiabatic population dynamics during the excitation process. In addition, we compare the results with coherent excitation at fixed laser frequency detuned from resonance, i.e. coherent population return (CPR).
Adiabatic rapid passage (ARP) is a powerful technique for efficient transfer of population between quantum states. In the laboratory, the efficiency of ARP is often limited by noise on either the energies of the states or the frequency of the driving field. We study ARP in the simple setting of a two-level system subject to sinusoidal fluctuations on the energy level separation by numerically solving the optical Bloch equations in the absence of damping. We investigate the dependence of the efficiency of population transfer on the frequency and amplitude of the perturbation and find that it is predominantly affected by resonant coupling when the detuning matches the frequency of the noise. We present intuitive principles for when ARP becomes inefficient within this model, and provide a sufficient condition for the population transfer to be above an arbitrary threshold.