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    Towards Anyonic Quantum Computation in Spinor Bose-Einstein Condensates.

    Fox, Nathan (2022) Towards Anyonic Quantum Computation in Spinor Bose-Einstein Condensates. Masters thesis, National University of Ireland Maynooth.

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    The main objective of this thesis is to describe the codes that we have developed in order to simulate the ground state of a spin one and spin two Bose-Einstein condensate as well as codes that we have developed to solve the Bogoliubov equations used to examine the elementary excitations of these ground states. Motivated by viewing non-abelian vortices within a spin two condensate as anyons that can be used for quantum computation, we also look at introducing vortices into our codes by means of suitable initial conditions. To do this, we have developed methods for setting up and looking at vortices in our ground state systems. Finally, we will put all our code together by numerically solving the Bogoliubov equations for a ground state system with a vortex present and provide analysis of these results.

    Item Type: Thesis (Masters)
    Keywords: Anyonic Quantum Computation; Spinor Bose-Einstein Condensates;
    Academic Unit: Faculty of Science and Engineering > Theoretical Physics
    Item ID: 17273
    Depositing User: IR eTheses
    Date Deposited: 06 Jun 2023 10:22
      Use Licence: This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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