Experimental demonstration of composite adiabatic passage

Daniel Schraft, Thomas Halfmann, Genko T. Genov, and Nikolay V. Vitanov

Phys. Rev. A 88, 063406 – Published 10 December 2013

Abstract

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 ${Pr}^{3 +} : Y_{2} {SiO}_{5}$ crystal. We perform systematic investigations of the efficiency of CAP and compare the results with conventional $π$ 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.

Received 20 September 2013

DOI:https://doi.org/10.1103/PhysRevA.88.063406

Authors & Affiliations

Daniel Schraft^* and Thomas Halfmann^†

Institut für Angewandte Physik, Technische Universität Darmstadt, Hochschulstraße 6, 64289 Darmstadt, Germany

Genko T. Genov and Nikolay V. Vitanov

Department of Physics, Sofia University, 5 James Bourchier Boulevard, 1164 Sofia, Bulgaria

^*daniel.schraft@physik.tu-darmstadt.de
^†http://www.iap.tu-darmstadt.de/nlq

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Vol. 88, Iss. 6 — December 2013

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Figure 1
Left: Relevant hyperfine structure in ${Pr}^{3 +} : Y_{2} {SiO}_{5}$ and coupling scheme for optical excitation of atomic coherences by EIT [right (red) and left (blue) solid arrows] and rephasing by RF pulses [dashed (green) arrow]. Atomic coherence $ρ_{12}$ is created between state $| 1 〉$ and state $| 2 〉$ . Right: Schematic pulse sequence for light storage by EIT, involving rephasing RF sequences. As an example, the scheme shows a CAP rephasing sequence with $N = 5$ pulse sections, with a total chirp range $Δ ν$ symmetric around $ω_{12}$ , and the variation of phase $ϕ$ .Reuse & Permissions
Figure 2
Stored-light efficiency $η$ due to rephasing by $π$ pulses, RAP, and CAP vs single-pulse duration $τ$ . In the case of CAP we apply sequences of $N = 3$ , 5, 7, and 9 single pulses. The Rabi frequency is $Ω_{RF} = 2 π \times 145 kHz$ . All pulses have a rectangular temporal shape of the intensity. (a) Experimental data with a chirp range (for RAP and CAP) of $Δ ν = 600 kHz$ . (b) Experimental data with a chirp range (for RAP and CAP) of $Δ ν = 900 kHz$ . Lines along the experimental data are guides for the eye only. (c, d) Simulations (solid/dotted lines) and corresponding experimental data (filled squares, RAP; filled circles, CAP) at chirp ranges of (c) $Δ ν = 600 kHz$ and (d) $Δ ν = 900 kHz$ . We note that in the simulations we depict the calculated inversion efficiency instead of the measured stored-light efficiency (which both are proportional to each other).Reuse & Permissions
Figure 3
Stored-light efficiency $η$ due to rephasing by RAP and CAP (with $N = 7$ pulses) vs total pulse duration $τ_{tot}$ . The Rabi frequency is kept fixed at $Ω_{RF} = 2 π \times 145$ kHz. All pulses have a rectangular temporal shape of the intensity. The chirp ranges for RAP and CAP are optimized independently of each other: for RAP it ranges from roughly 0.6 MHz for short pulse durations to 3.2 MHz for long pulse durations, and for CAP the range is 0.5 MHz for all total pulse durations. (a) Experimental data. Shaded areas indicate variations in the rephasing efficiency. (b) Simulations.Reuse & Permissions
Figure 4
Stored-light efficiency $η$ due to rephasing by RAP or CAP vs static detuning $Δ$ . In the case of CAP we apply sequences of $N = 3$ , 5, 7, and 9 single pulses. The Rabi frequency is $Ω_{RF} = 2 π \times 145$ kHz. The chirp range is fixed at $Δ ν = 900$ kHz. All pulses have a rectangular temporal shape of the intensity. (a) Experimental data for a single-pulse duration (for RAP and CAP) of $τ = 4 μ s$ . (b) Experimental data for a single-pulse duration (for RAP and CAP) of $τ = 21 μ s$ . Lines along the experimental data are guides for the eye only. (c, d) Simulations (solid and dotted lines) and corresponding experimental data (filled squares, RAP; filled circles, CAP) at single-pulse durations of (c) $τ = 4 μ s$ and (d) $τ = 21 μ s$ . We note that in the simulations we depict the calculated inversion efficiency instead of the measured stored-light efficiency (which both are proportional to each other).Reuse & Permissions

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