Controlling vortex rings in Bose--Einstein condensates

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This project has resulted in novel software to simulate a variety of physical systems, with a focus on superfluid Bose--Einstein Condensates (BECs) and their superfluid dynamics. In particular, it has developed GPUE, the Gross-Pitaevskii Equation solver with Graphics Processing Units, which can be used for a huge variety of physical systems. With dynamic expression tree syntax parsing, users can input whatever equations they would like to solve into the system, and these will be solved via the pseudo-spectral split-step Fourier method.A large portion of this year's work went into simulating a particular system where a toroidal superfluid BEC is trapped around an optical nanofiber. This system allows for the creation, control, and detection of superfluid vortex structures via the generation of artificial magnetic fields with a tapered optical nanofiber. This is the first time vortex rings and vortes ring-like structures have been generated in this way and this study should allow for several future studies to really pinpoint how and why superfluid vortices act as they do in turbulent systems.Overall, this year has been successful in finishing up the goals set out by this project initially.