Spatially-resolved potential measurement with ion crystals

Brownnutt, Michael; Harlander, Maximilian; Hänsel, Wolfgang; Blatt, R.

doi:10.1007/s00340-012-5032-7

Cited by 10 publications

(9 citation statements)

References 25 publications

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“…The spatial derivatives ϕ ′ x ( ) i and ϕ″ x ( ) i are obtained by differentiation of the fit functions. Previous experiments have shown that the calculated potentials allow for the prediction of ion positions and trap frequencies with an accuracy of one per cent [28,29] which indicates the precision of the microtrap fabrication process. An increase in the precision can be achieved by calibrating the trapping potentials using resolved sideband spectroscopy.…”

Section: Prerequisitesmentioning

confidence: 84%

Controlling the transport of an ion: classical and quantum mechanical solutions

et al. 2014

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The accurate transport of an ion over macroscopic distances represents a challenging control problem due to the different length and time scales that enter and the experimental limitations on the controls that need to be accounted for. Here, we investigate the performance of different control techniques for ion transport in state-of-the-art segmented miniaturized ion traps. We employ numerical optimization of classical trajectories and quantum wavepacket propagation as well as analytical solutions derived from invariant based inverse engineering and geometric optimal control. The applicability of each of the control methods depends on the length and time scales of the transport. Our comprehensive set of tools allows us make a number of observations. We find that accurate shuttling can be performed with operation times below the trap oscillation period. The maximum speed is limited by the maximum acceleration that can be exerted on the ion. When using controls obtained from classical dynamics for wavepacket propagation, wavepacket squeezing is the only quantum effect that comes into play for a large range of trapping parameters. We show that this can be corrected by a compensating force derived from invariant based inverse engineering, without a significant increase in the operation time.

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Section: Prerequisitesmentioning

confidence: 84%

Controlling the transport of an ion: classical and quantum mechanical solutions

et al. 2014

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“…Given the complexity of modeling trap geometries, and of changing the distance to the trapping electrodes, it may be advantageous to characterize the heating due to external objects which are independent of the trap operation. It has been proposed that this could be achieved by using an ion trap with an open geometry and varying the distance between it and some external object (Maiwald et al, 2009;Harlander et al, 2010;Brownnutt et al, 2012).…”

Section: Distancementioning

confidence: 99%

Ion-trap measurements of electric-field noise near surfaces

et al. 2015

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Electric-field noise near surfaces is a common problem in diverse areas of physics, and a limiting factor for many precision measurements. There are multiple mechanisms by which such noise is generated, many of which are poorly understood. Laser-cooled, trapped ions provide one of the most sensitive systems to probe electric-field noise at MHz frequencies and over a distance range 30 − 3000 µm from the surface. Over recent years numerous experiments have reported spectral densities of electric-field noise inferred from ion heating-rate measurements and several different theoretical explanations for the observed noise characteristics have been proposed. This paper provides an extensive summary and critical review of electric-field noise measurements in ion traps, and compares these experimental findings with known and conjectured mechanisms for the origin of this noise. This reveals that the presence of multiple noise sources, as well as the different scalings added by geometrical considerations, complicate the interpretation of these results. It is thus the purpose of this review to assess which conclusions can be reasonably drawn from the existing data, and which important questions are still open. In so doing it provides a framework for future investigations of surface-noise processes.

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“…Modern trap technology [21,22], where the DC trap potential is shaped by multiple control segments, allows one to modify the trap potential along e z and thus the inter-ion distances. This becomes particularly relevant for crystals with ≥ 4 ions.…”

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confidence: 99%

Visibility of Young’s Interference Fringes: Scattered Light from Small Ion Crystals

et al. 2016

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We observe interference in the light scattered from trapped 40 Ca + ion crystals. By varying the intensity of the excitation laser, we study the influence of elastic and inelastic scattering on the visibility of the fringe pattern and discriminate its effect from that of the ion temperature and wave-packet localization. In this way we determine the complex degree of coherence and the mutual coherence of light fields produced by individual atoms. We obtain interference fringes from crystals consisting of two, three and four ions in a harmonic trap. Control of the trapping potential allows for the adjustment of the interatomic distances and thus the formation of linear arrays of atoms serving as a regular grating of microscopic scatterers.

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Spatially-resolved potential measurement with ion crystals

Cited by 10 publications

References 25 publications

Controlling the transport of an ion: classical and quantum mechanical solutions

Controlling the transport of an ion: classical and quantum mechanical solutions

Ion-trap measurements of electric-field noise near surfaces

Visibility of Young’s Interference Fringes: Scattered Light from Small Ion Crystals

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