Optimised focusing ion optics for an ultracold deterministic single ion source targeting nm resolution

Fickler, Robert; Schnitzler, Wolfgang; Linke, Norbert; Schmidt‐Kaler, F.; Singer, Kilian

doi:10.1080/09500340903180509

Cited by 5 publications

(3 citation statements)

References 37 publications

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“…If special symmetry properties are needed (such as rotational symmetry for ion-lens systems or mirror symmetry) then one can additionally symmetrize the surface charge densities. We have implemented symmetrization functions in our code to support these calculations (Fickler et al, 2009). As FMM is used to speed up the matrix vector multiplication it can be also used to speed up the evaluation of Eq.…”

Section: Applicationmentioning

confidence: 99%

Colloquium: Trapped ions as quantum bits: Essential numerical tools

et al. 2010

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Trapped, laser-cooled atoms and ions are quantum systems which can be experimentally controlled with an as yet unmatched degree of precision. Due to the control of the motion and the internal degrees of freedom, these quantum systems can be adequately described by a well known Hamiltonian. In this colloquium, we present powerful numerical tools for the optimization of the external control of the motional and internal states of trapped neutral atoms, explicitly applied to the case of trapped laser-cooled ions in a segmented ion-trap. We then delve into solving inverse problems, when optimizing trapping potentials for ions. Our presentation is complemented by a quantum mechanical treatment of the wavepacket dynamics of a trapped ion. Efficient numerical solvers for both time-independent and time-dependent problems are provided. Shaping the motional wavefunctions and optimizing a quantum gate is realized by the application of quantum optimal control techniques. The numerical methods presented can also be used to gain an intuitive understanding of quantum experiments with trapped ions by performing virtual simulated experiments on a personal computer. Code and executables are supplied as supplementary online material 1 .

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Section: Applicationmentioning

confidence: 99%

Colloquium: Trapped ions as quantum bits: Essential numerical tools

et al. 2010

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“…The calculation of the electrostatic potentials of the einzel-lens and the ion ray tracing simulations are performed by a high accuracy boundary-element solver package [25]. A detailed description of the imaging characteristics for different types of lens configurations can be found in [26]. All parts were electropolished in order to remove ridges which were formed during the manufacturing process and to reduce the overall surface roughness.…”

Section: Ion Opticsmentioning

confidence: 99%

Focusing a deterministic single-ion beam

et al. 2010

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We focus down an ion beam consisting of single 40 Ca + ions to a spot size of a few µm using an einzel-lens. Starting from a segmented linear Paul trap, we have implemented a procedure which allows us to deterministically load a predetermined number of ions by using the potential shaping capabilities of our segmented ion trap. For single-ion loading, an efficiency of 96.7(7) % has been achieved. These ions are then deterministically extracted out of the trap and focused down to a 1σ-spot radius of (4.6 ± 1.3) µm at a distance of 257 mm from the trap center. Compared to former measurements without ion optics, the einzel-lens is focusing down the single-ion beam by a factor of 12. Due to the small beam divergence and narrow velocity distribution of our ion source, chromatic and spherical aberration at the einzel-lens is vastly reduced, presenting a promising starting point for focusing single ions on their way to a substrate.

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“…We will provide detailed classical simulations of the ion beam paths for three different beam separation schemes: two biprisms with a quadrupole, two biprisms with an einzel-lens [24] and three biprisms. The simulations allow to determine the superposition angle of the coherent partial beams.…”

Section: Introductionmentioning

confidence: 99%

Effective beam separation schemes for the measurement of the electric Aharonov–Bohm effect in an ion interferometer

Schütz¹,

Rembold²,

Pooch³

et al. 2015

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We propose an experiment for the first proof of the type I electric Aharonov-Bohm effect in an ion interferometer for hydrogen. The performances of three different beam separation schemes are simulated and compared. The coherent ion beam is generated by a single atom tip (SAT) source and separated by either two biprisms with a quadrupole lens, two biprisms with an einzel-lens or three biprisms. The beam path separation is necessary to introduce two metal tubes that can be pulsed with different electric potentials. The high time resolution of a delay line detector allows to work with a continuous ion beam and circumvents the pulsed beam operation as originally suggested by Aharonov and Bohm. We demonstrate that the higher mass and therefore lower velocity of ions compared to electrons combined with the high expected SAT ion emission puts the direct proof of this quantum effect for the first time into reach of current technical possibilities. Thereby a high detection rate of coherent ions is crucial to avoid long integration times that allow the influence of dephasing noise from the environment. We can determine the period of the expected matter wave interference pattern and the signal on the detector by determining the superposition angle of the coherent partial beams. Our simulations were tested with an electron interferometer setup and agree with the experimental results. We determine the separation scheme with three biprisms to be most efficient and predict a total signal acquisition time of only 80s to measure a phase shift from 0 to 2π due to the electric Aharonov-Bohm effect.

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Optimised focusing ion optics for an ultracold deterministic single ion source targeting nm resolution

Cited by 5 publications

References 37 publications

Colloquium: Trapped ions as quantum bits: Essential numerical tools

Colloquium: Trapped ions as quantum bits: Essential numerical tools

Focusing a deterministic single-ion beam

Effective beam separation schemes for the measurement of the electric Aharonov–Bohm effect in an ion interferometer

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