Simulating Bose Einstein Condensates with Quantum Lattice Gas Algorithms

Abstract

With the recent technological progress made in quantum computing it seems like it is just a matter of time before quantum computers will become available to use as research tools. This dissertation presents a quantum lattice gas algorithm for spin-2 BECs which could be implemented on a quantum computer when the technology becomes available. A GPU based version of the algorithm is implemented and tested against the analytically predicted behavior of spin-2 BECs. The result is that as the lattice size increases the quantum lattice gas algorithm rapidly converges to match the analytical predictions. Thus providing an excellent tool for probing the nature of spin-2 BECs. This includes vortices and solitons which can exhibit non-Abelian dynamics.