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Trapping of gold anions in a linear Paul trap

Stefan Erlewein

Published Jan 1, 2017• 0 citations
OpenAlex

Abstract

In order to demonstrate laser cooling on negatively charged ions, it is necessary to confine the ions in a region free of strong magnetic fields. In the course of this thesis, the pre-existing design of a linear Paul trap was modified and taken into operation. The new design possesses two additional end cap electrodes whose shape provides effective axial confinement without blocking optical access to the trapped particles. The influence of these end cap electrodes on the trapping potential was simulated and compared to experimental results. Measurements with AU- ions show that the trap allows storage of ions for multiple hours. Analysis ofthe storage time suggests that the loading process heats up the trapped ions. The lifetime τHot of the hot ions was determined to be 23(3) min. After thermalization, the lifetime increases to 75(2) min. Measurements of the ion cloud’s radius provide an estimation of the equilibrium temperature T∞ ≈5000 K. The experimentally determined time constant of the cooling process is τcool = 41:6(4) s.

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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.

•Jan 1, 2007•0 citations
In order to demonstrate laser cooling on negatively charged ions, it is necessary to confine the ions in a region free of strong magnetic fields. In the course of this thesis, the pre-existing design of a linear Paul trap was modified and taken into operation. The new design possesses two additional end cap electrodes whose shape provides effective axial confinement without blocking optical access to the trapped particles. The influence of these end cap electrodes on the trapping potential was simulated and compared to experimental results. Measurements with AU- ions show that the trap allows storage of ions for multiple hours. Analysis ofthe storage time suggests that the loading process heats up the trapped ions. The lifetime τHot of the hot ions was determined to be 23(3) min. After thermalization, the lifetime increases to 75(2) min. Measurements of the ion cloud’s radius provide an estimation of the equilibrium temperature T∞ ≈5000 K. The experimentally determined time constant of the cooling process is τcool = 41:6(4) s.
The capture and confinement of a large and pure sample of anions into an ion trap is challenging due to the fragile nature of these weakly bound atomic systems. We present the results of an experimental study using ${\mathrm{Au}}^{\ensuremath{-}}$ in which anions from a keV-energy continuous beam were loaded into a cylindrical Penning trap. Experimental parameters such as stopping potential and axial trap depth were found to be crucial. The transfer of axial to radial momentum due to ion--ion collisions was identified as a main contributing factor to successful capture. A total number of up to ${10}^{7}\phantom{\rule{0.16em}{0ex}}{\mathrm{Au}}^{\ensuremath{-}}$ ions were loaded. The cooling of anions by simultaneously confined electrons was observed and seen to result in centrifugal separation of the two species. After storage times of several 10 s, electron cooling of the anions to the temperature of the cryogenic trap was achieved.
Through finite-element simulation, the axial potential distribution of the ion trap is analyzed. The effects of the central hole diameter of the end cap and the spacing between the two end caps on the axial geometric parameters of the ion trap are investigated. Based on these findings, a set of linear Paul traps is designed by selecting suitable end caps and quadrupoles. Stable trapping of calcium ions (Ca+) is successfully achieved, and these ions are subsequently laser-cooled into ionic Coulomb crystals. In the experiment, secular motion excitation of the Ca+ ion Coulomb crystal is performed, yielding an axial geometric parameter of 0.115(1) for the ion trap. This value aligns well with the simulation result of 0.114(2). The precise determination of the axial geometric parameter provides a solid foundation for subsequent high-precision optical or mass spectrometry measurements.
We report the first cooling of atomic anions by laser radiation. O^{-} ions confined in a linear Paul trap were cooled by selectively photodetaching the hottest particles. For this purpose, anions with the highest total energy were illuminated with a 532 nm laser at their maximal radial excursion. Using laser-particle interaction, we realized a both colder and denser ion cloud, achieving a more than threefold temperature reduction from 1.15 to 0.33 eV. Compared with the interaction with a dilute buffer gas, the energy-selective addressing and removal of anions resulted in lower final temperatures, yet acted 10 times faster and preserved twice as large a fraction of ions in the final state. An ensemble of cold negative ions affords the ability to sympathetically cool any other negative ion species, enabling or facilitating a broad range of fundamental studies from interstellar chemistry to antimatter gravity. The technique can be extended to any negative ion species that can be neutralized via photodetachment.
This thesis describes experimental work towards developing a trapped ion quantum information processor. An existing ion trap apparatus was capable of trapping and laser-cooling single ions or small ion strings of 40 Ca+, and had been used for studies of quantum jumps and natural lifetime measurements in Ca. This thesis describes improvements in this apparatus, which have allowed the stability and the flexibility of experimental control of the ions to be greatly increased. This enabled experiments to read out the spin state of a single trapped ion, and to load ions with isotope selectivity through photoionization. The optical systems were improved by installation of new lasers, optical reference cavities, and a system of acousto-optic modulators for laser intensity switching and frequency control. The photon counting for fluorescence detection was improved, and a new photon time-of-arrival correlation circuit developed. This has permitted rapid and more sensitive detection of micromotion, and hence cancellation of stray fields in the trap. A study of resonant circuits in the low RF, high voltage (10 MHz, 1 kV) regime was carried out with a view to developing a new RF supply for the Paul trap with reduced noise and increased power. A new supply based on a helical resonator was built and used to trap ions. This technique has reduced noise and will permit higher secular frequencies to be attained in the future. A magnetic field B in the ion trap is used to define a quantization axis, and in one series of experiments was required to be of order 100 G to provide a substantial Zeeman splitting. A set of magnetic field coils to control the size and direction of B is described. The design of these posed some problems owing to an unforseen issue with the vacuum chamber. In short, it is magnetizable and acts to first approximation like a magnetic shield. The field coils had to be sufficiently substantial to produce the desired field at the ion even in the presence of this shielding effect, and dark resonance (and other) spectra with Zeeman splitting were obtained to calibrate the field using the ion as a probe. Finally, the thesis describes the successful loading of the ion trap by laser photoionization from a weak atomic beam. This involved two new lasers at 423 nm and 389 nm. Saturated absorption spectroscopy of neutral calcium is first described, then transverse excitation of an atomic beam in our vacuum chamber is used to identify all the main isotopes of calcium and confirm their abundances in our source (a heated sample of natural calcium). Finally, photoionization is used to load the trap. This has three advantages over electron-impact ionization. By avoiding an electron gun, we avoid charging of insulating patches and subsequent electric field drift as they discharge; the flux in the atomic beam and hence calcium (and other) deposits on the electrodes can be greatly reduced; and most importantly, the photoionization is isotope selective. Evidence is presented which suggests that even with an non-enriched source, the rare isotope 43 Ca can be loaded with reasonable efficiency. This isotope is advantageous for quantum information experiments for several reasons, but chiefly because its ground state hyperfine structure can act as a stable qubit.
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.