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Kalte Ionenkristalle in einer segmentierten Paul-Falle

T. Deuschle

Published Jan 1, 2007• 0 citations
Publisher

Abstract

Laser-cooled ions in linear Paul Traps are one of the most promising candidates for a quantum computer. This thesis reports on the construction and operation of a segmented Paul trap. The trap was fabricated in UHV-compatible printed-circuit-board (PCB) technology and consists of 15 segments with a minimum segment width of 0,5 mm. With the large number of segments it is unique in Europe. Although a PCB-trap may not be suitable for large-scale quantum computers, the advantage of such a trap is fast and reliable fabrication with low fabrication costs. Therefore this technology is ideal for rapid testing of new trap geometries and ion shuttling methods. Experiments were carried out with individual laser-cooled 40Ca+ ions stored in the trap and observed by detecting their fluorescence. Measured trap frequencies agree to numerical simulations at the level of a few percent, demonstrating the fabrication accuracy of the segmented trap. Compensation voltages are used to cancel stray fields. The long time stability of these compensation voltages over many months is comparable to a conventional unsegmented trap. To determine the short time stability of the PCB-trap, the heating rate of the motional mode of an ion was measured by detecting fluoresence during Doppler cooling of heated ions. The observed heating rate was much higher than expected due to a massive deposition of calcium on the trap electrodes. Transport dynamics of a single trapped ion was investigated by shuttling the ion between trap locations 2mm apart. A non-adiabatic transport in roughly two oscillation periods in the axial trap potential was achieved. The quality of a transport function was evaluated with two different methods: the success probability and the excess energy of the ion after transport. The measurements were compared with numerical simulations of the classical energy transfer due to the transport. Finally, a string of ions held in a common trap was separated into two distinct traps.

DOI
10.18725/oparu-1115

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Laser-cooled ions in linear Paul Traps are one of the most promising candidates for a quantum computer. This thesis reports on the construction and operation of a segmented Paul trap. The trap was fabricated in UHV-compatible printed-circuit-board (PCB) technology and consists of 15 segments with a minimum segment width of 0,5 mm. With the large number of segments it is unique in Europe. Although a PCB-trap may not be suitable for large-scale quantum computers, the advantage of such a trap is fast and reliable fabrication with low fabrication costs. Therefore this technology is ideal for rapid testing of new trap geometries and ion shuttling methods. Experiments were carried out with individual laser-cooled 40Ca+ ions stored in the trap and observed by detecting their fluorescence. Measured trap frequencies agree to numerical simulations at the level of a few percent, demonstrating the fabrication accuracy of the segmented trap. Compensation voltages are used to cancel stray fields. The long time stability of these compensation voltages over many months is comparable to a conventional unsegmented trap. To determine the short time stability of the PCB-trap, the heating rate of the motional mode of an ion was measured by detecting fluoresence during Doppler cooling of heated ions. The observed heating rate was much higher than expected due to a massive deposition of calcium on the trap electrodes. Transport dynamics of a single trapped ion was investigated by shuttling the ion between trap locations 2mm apart. A non-adiabatic transport in roughly two oscillation periods in the axial trap potential was achieved. The quality of a transport function was evaluated with two different methods: the success probability and the excess energy of the ion after transport. The measurements were compared with numerical simulations of the classical energy transfer due to the transport. Finally, a string of ions held in a common trap was separated into two distinct traps.
We describe the construction and operation of a segmented linear Paul trap, fabricated in printed-circuit-board technology with an electrode segment width of 500 μm. We prove the applicability of this technology to reliable ion trapping and report the observation of Doppler-cooled ion crystals of 40 Ca + with this kind of trap. Measured trap frequencies agree with numerical simulations at the level of a few percent from which we infer a high fabrication accuracy of the segmented trap. To demonstrate its usefulness and versatility for trapped ion experiments we study the fast transport of a single ion. Our experimental results show a success rate of 99.0(1)% for a transport distance of 2 × 2 mm in a round-trip time of T = 20 μs, which corresponds to 4 axial oscillations only. We theoretically and experimentally investigate the excitation of oscillations caused by fast ion transports with error-function voltage ramps: for a slightly slower transport (a round-trip shuttle within T = 30 μs) we observe non-adiabatic motional excitation of 0.89(15) meV.
We describe the construction and operation of a segmented linear Paul trap, fabricated in printed-circuit-board technology with an electrode segment width of 500 microns. We prove the applicability of this technology to reliable ion trapping and report the observation of Doppler cooled ion crystals of Ca-40 with this kind of traps. Measured trap frequencies agree with numerical simulations at the level of a few percent from which we infer a high fabrication accuracy of the segmented trap. To demonstrate its usefulness and versatility for trapped ion experiments we study the fast transport of a single ion. Our experimental results show a success rate of 99.0(1)% for a transport distance of 2x2mm in a round-trip time of T=20us, which corresponds to 4 axial oscillations only. We theoretically and experimentally investigate the excitation of oscillations caused by fast ion transports with error-function voltage ramps: For a slightly slower transport (a round-trip shuttle within T=30us) we observe non-adiabatic motional excitation of 0.89(15)meV.
With all the key elements of quantum computing in ion traps demonstrated by the research community, the focus is now placed on building more sophisticated traps with larger numbers of ions to allow practical scale information processing. One promising avenue is to store ions in and shuttle them between many independent traps which serve as potential interaction sites. The core of the work described in this thesis is the experimental evaluation of a microfabricated segmented ion trap, built by Sandia National Laboratories ("Sandia trap"). These experiments required construction of a wholly new optical setup including laser and detection systems, a vacuum system and control electronics. Among our experimental achievements were: successful loading of single and pairs of ions in the microscale trap, measurement of ion storage lifetime, measurement of the motional heating rate with a time-resolved Doppler-cooling method — which showed above than average heating, and implemented a single-ion shuttling method — which reliably transferred the ion through a distance of 360 μm (two DC electrode widths away) and back. These results have been used to improve the next version of the Sandia trap design. We also used computer modelling to study several aspects of ion traps: a mesoscopic ion trap designed for fast ion separation, simulated ion loading to quantify requirements for successful trapping in small and shallow traps, and analyzed a precise shuttling method — where the time dependence of the trapping potential is engineered such that there is minimal motional heating. The results show that ion trap arrays at the 100 μm distance scale are feasible and suggests that such multiple trap designs merit further study.
Miniaturized ion trap arrays with many trap segments present a promising architecture for scalable quantum information processing. The miniaturization of segmented linear Paul traps allows partitioning the microtrap into different storage and processing zones. The individual position control of many ions—each of them carrying qubit information in its long-lived electronic levels—by the external trap control voltages is important for the implementation of next generation large-scale quantum algorithms. We present a novel scalable microchip multi-segmented ion trap with two different adjacent zones, one for the storage and another dedicated to the processing of quantum information using single ions and linear ion crystals. A pair of radio-frequency-driven electrodes and 62 independently controlled dc electrodes allows shuttling of single ions or linear ion crystals with numerically designed axial potentials at axial and radial trap frequencies of a few megahertz. We characterize and optimize the microtrap using sideband spectroscopy on the narrow S1/2↔D5/2 qubit transition of the 40Ca+ ion, and demonstrate coherent single-qubit Rabi rotations and optical cooling methods. We determine the heating rate using sideband cooling measurements to the vibrational ground state, which is necessary for subsequent two-qubit quantum logic operations. The applicability for scalable quantum information processing is proved.
Abstract Single ions held in linear Paul traps are promising candidates for a future quantum computer. Here, we discuss a two‐layer microstructured segmented linear ion trap. The radial and axial potentials are obtained from numeric field simulations and the geometry of the trap is optimized. As the trap electrodes are segmented in the axial direction, the trap allows the transport of ions between different spatial regions. Starting with realistic numerically obtained axial potentials, we optimize the transport of an ion such that the motional degrees of freedom are not excited, even though the transport speed far exceeds the adiabatic regime. In our optimization we achieve a transport within roughly two oscillation periods in the axial trap potential compared to typical adiabatic transports that take of the order 102 oscillations. Furthermore heating due to quantum mechanical effects is estimated and suppression strategies are proposed.
Miniaturized ion trap arrays with many trap segments present a promising architecture for scalable quantum information processing. The miniaturization of segmented linear Paul traps allows partitioning the microtrap into different storage and processing zones. The individual position control of many ions—each of them carrying qubit information in its long-lived electronic levels—by the external trap control voltages is important for the implementation of next generation large-scale quantum algorithms. We present a novel scalable microchip multi-segmented ion trap with two different adjacent zones, one for the storage and another dedicated to the processing of quantum information using single ions and linear ion crystals. A pair of radio-frequency-driven electrodes and 62 independently controlled dc electrodes allows shuttling of single ions or linear ion crystals with numerically designed axial potentials at axial and radial trap frequencies of a few megahertz. We characterize and optimize the microtrap using sideband spectroscopy on the narrow S 1/2 ↔D 5/2 qubit transition of the 40 Ca + ion, and demonstrate coherent single-qubit Rabi rotations and optical cooling methods. We determine the heating rate using sideband cooling measurements to the vibrational ground state, which is necessary for subsequent two-qubit quantum logic operations. The applicability for scalable quantum information processing is proved.