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