Optimisation of two-dimensional ion trap arrays for quantum simulation

The optimisation of two-dimensional (2D) lattice ion trap geometries for trapped ion quantum simulation is investigated. The geometry is optimised for the highest ratio of ion-ion interaction rate to decoherence rate. To calculate the electric field of such array geometries a numerical simulation ba...

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Bibliographic Details
Published inarXiv.org
Main Authors Siverns, James D, Weidt, Seb, Lake, Kim, Lekitsch, Bjoern, Hughes, Marcus D, Hensinger, Winfried K
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 19.06.2012
Subjects
Arrays
Computer simulation
Electric fields
Ions
Lattices (mathematics)
Optimization
Physics - Quantum Physics
Simulation
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Summary:The optimisation of two-dimensional (2D) lattice ion trap geometries for trapped ion quantum simulation is investigated. The geometry is optimised for the highest ratio of ion-ion interaction rate to decoherence rate. To calculate the electric field of such array geometries a numerical simulation based on a "Biot-Savart like law" method is used. In this article we will focus on square, hexagonal and centre rectangular lattices for optimisation. A method for maximising the homogeneity of trapping site properties over an array is presented for arrays of a range of sizes. We show how both the polygon radii and separations scale to optimise the ratio between the interaction and decoherence rate. The optimal polygon radius and separation for a 2D lattice is found to be a function of the ratio between rf voltage and drive frequency applied to the array. We then provide a case study for 171Yb+ ions to show how a two-dimensional quantum simulator array could be designed.
ISSN:2331-8422
DOI:10.48550/arxiv.1203.4277