Diffusion Monte Carlo study of strongly interacting two-dimensional Fermi gases
Date and Time
MSc Thesis Presentation
Candidate: Alexander Galea
Ultracold atomic Fermi gases have been a popular topic of research, with attention being paid recently to two-dimensional (2D) gases. The interaction strength between spin-up and spin-down particles in two-component Fermi gases can be tuned in experiments, allowing for a strongly interacting regime where the gas properties are yet to be fully understood. We have probed this regime for 2D Fermi gases by performing T = 0 ab initio diffusion Monte Carlo (DMC) calculations. This required us to first solve the two-body scattering problem in 2D. To accurately account for interactions at the many-body level, we use complicated wave functions containing variable parameters that were optimized with variational Monte Carlo energy minimization. Our optimized wave functions were used in DMC to determine ground-state properties of the gas over a range of interaction strengths. We have calculated the energy per particle, Tan's contact parameter, the chemical potential, and the pairing gap.
Dr. Robert Wickham, Chair
Dr. Carl Svensson, Advisory Committee
Dr. Alexandros Gezerlis, Advisory Committee