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University of Victoria

1. Senarath Yapa Arachchige, Pramodh Viduranga. Non-local electrodynamics of superconducting wires: implications for flux noise and inductance.

Degree: Department of Physics and Astronomy, 2017, University of Victoria

The simplest model for superconductor electrodynamics are the London equations, which treats the impact of electromagnetic fields on the current density as a localized phenomenon. However, the charge carriers of superconductivity are quantum mechanical objects, and their wavefunctions are delocalized within the superconductor, leading to non-local effects. The Pippard equation is the generalization of London electrodynamics which incorporates this intrinsic non-locality through the introduction of a new superconducting characteristic length, ξ0, called the Pippard coherence length. When building nano-scale superconducting devices, the inclusion of the coherence length into electrodynamics calculations becomes paramount. In this thesis, we provide numerical calculations of various electrodynamic quantities of interest in the non-local regime, and discuss their implications for building superconducting devices. We place special emphasis on Superconducting QUantum Inteference Devices (SQUIDs), and their usage as flux quantum bits (qubits) in quantum computation. One of the main limitations of these flux qubits is the presence of intrinsic flux noise, which leads to decoherence of the qubits. Although the origin of this flux noise is not known, there is evidence that it is related to spin impurities within the superconducting material. We present calculations which show that the flux noise in the non-local regime is signi cantly different from the local case. We also demonstrate that non-local electrodynamics greatly affect the self-inductance of the qubit. Advisors/Committee Members: De Sousa, RogeĢrio Costa Reis (supervisor).

Subjects/Keywords: superconductivity; quantum computing; qubit; flux noise; electrodynamics; SQUID; Superconductor; Pippard; non-local electrodynamics; inductance

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APA (6th Edition):

Senarath Yapa Arachchige, P. V. (2017). Non-local electrodynamics of superconducting wires: implications for flux noise and inductance. (Masters Thesis). University of Victoria. Retrieved from https://dspace.library.uvic.ca//handle/1828/8914

Chicago Manual of Style (16th Edition):

Senarath Yapa Arachchige, Pramodh Viduranga. “Non-local electrodynamics of superconducting wires: implications for flux noise and inductance.” 2017. Masters Thesis, University of Victoria. Accessed January 16, 2018. https://dspace.library.uvic.ca//handle/1828/8914.

MLA Handbook (7th Edition):

Senarath Yapa Arachchige, Pramodh Viduranga. “Non-local electrodynamics of superconducting wires: implications for flux noise and inductance.” 2017. Web. 16 Jan 2018.

Vancouver:

Senarath Yapa Arachchige PV. Non-local electrodynamics of superconducting wires: implications for flux noise and inductance. [Internet] [Masters thesis]. University of Victoria; 2017. [cited 2018 Jan 16]. Available from: https://dspace.library.uvic.ca//handle/1828/8914.

Council of Science Editors:

Senarath Yapa Arachchige PV. Non-local electrodynamics of superconducting wires: implications for flux noise and inductance. [Masters Thesis]. University of Victoria; 2017. Available from: https://dspace.library.uvic.ca//handle/1828/8914

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