Yb ion trap experimental set-up and two-dimensional ion trap surface array design towards analogue quantum simulations

Siverns, James D (2012) Yb ion trap experimental set-up and two-dimensional ion trap surface array design towards analogue quantum simulations. Doctoral thesis (PhD), University of Sussex.

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Abstract

Ions trapped in Paul traps provide a system which has been shown to exhibit most of
the properties required to implement quantum information processing. In particular, a
two-dimensional array of ions has been shown to be a candidate for the implementation of quantum simulations. Microfabricated surface geometries provide a widely used technology
with which to create structures capable of trapping the required two-dimensional array of ions. To provide a system which can utilise the properties of trapped ions a greater understanding of the surface geometries which can trap ions in two-dimensional arrays would be advantageous, and allow quantum simulators to be fabricated and tested.

In this thesis I will present the design, set-up and implementation of an experimental
apparatus which can be used to trap ions in a variety of different traps. Particular focus will
be put on the ability to apply radio-frequency voltages to these traps via helical resonators
with high quality factors. A detailed design guide will be presented for the construction
and operation of such a device at a desired resonant frequency whilst maximising the
quality factor for a set of experimental constraints. Devices of this nature will provide
greater filtering of noise on the rf voltages used to create the electric field which traps
the ions which could lead to reduced heating in trapped ions. The ability to apply higher
voltages with these devices could also provide deeper traps, longer ion lifetimes and more
efficient cooling of trapped ions.

In order to efficiently cool trapped ions certain transitions must be known to a required
accuracy. In this thesis the 2S1/2 → 2P1/2 Doppler cooling and 2D3/2 → 2D[3/2]1/2 repumping transition wavelengths are presented with a greater accuracy then previous work. These transitions are given for the 170, 171, 172, 174 and 176 isotopes of Yb+.

Two-dimensional arrays of ions trapped above a microfabricated surface geometry
provide a technology which could enable quantum simulations to be performed allowing
solutions to problems currently unobtainable with classical simulation. However, the spin-spin interactions used in the simulations between neighbouring ions are required to occur on a faster time-scale than any decoherence in the system. The time-scales of both the ion-ion interactions and decoherence are determined by the properties of the electric field formed by the surface geometry. This thesis will show how geometry variables can be used to optimise the ratio between the decoherence time and the interaction time whilst simultaneously maximising the homogeneity of the array properties. In particular, it will be shown how the edges of the geometry can be varied to provide the maximum homogeneity in the array and how the radii and separation of polygons comprising the surface geometry vary as a function of array size for optimised arrays. Estimates of the power dissipation in these geometries will be given based on a simple microfabrication.

Item Type: Thesis (Doctoral)
Schools and Departments: School of Mathematical and Physical Sciences > Physics and Astronomy
Subjects: Q Science > QC Physics > QC0170 Atomic physics. Constitution and properties of matter Including molecular physics, relativity, quantum theory, and solid state physics
Depositing User: Library Cataloguing
Date Deposited: 24 Jan 2013 08:47
Last Modified: 08 Sep 2015 13:57
URI: http://sro.sussex.ac.uk/id/eprint/43344

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