Pu, Han2018-12-032018-12-032007Tsekouras, Konstantinos. "Dynamic evolution of spin-1 and spin-2 dipolar BECs." (2007) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/103674">https://hdl.handle.net/1911/103674</a>.https://hdl.handle.net/1911/103674This study investigates the dynamical evolution of spin-1 and spin-2 Bose-Einstein Condensates (BECs) when the dipolar interaction is taken into consideration. Using the Single-Mode Approximation (SMA) equations of motion are derived for each condensate component which are then numerically solved. The results convincingly show that the dipolar interaction has a significant effect despite being much weaker than the collision or spin-exchange interaction and that if included magnetic effects are easy to treat. Further, an analytical Mean-Field Theory formulation is used to derive and simplify equations of motion for a spin-1 BEC in 2D (pancake) configuration. Moving to a reference frame that rotates at the Larmor frequency greatly simplifies the equations and removes first-order Zeeman terms, rendering the effects of the dipolar interaction much clearer to observe in the condensate evolution.101 ppengCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.Atoms & subatomic particlesPure sciencesThesis304818355THESIS PHYS. 2008 TSEKOURAS