Methods for Simulating and Analyzing Quantum Turbulence of BECs in a Rotating Frame

Abstract

The relationships between turbulence and interesting fluid structures like those near the poles of Jupiter and Saturn are still an open research topic. A minimal model for understanding fundamental behaviors is desirable for isolating the relevant parameter space with predictive power. Minimal models in liquids inspire us to look for a more minimal model in 2D Bose-Einstein Condensates. We have created a framework for quickly simulating and analyzing 2D Bose-Einstein Condensates in a rotating reference frame to test a wide range of parameter space via the MATLAB parallel computing toolbox, the utilization of a graphics processing unit, and the high-powered computing cluster available to us through the University of Arizona. In the development of these methods, we find that our novel application of qualitative analysis shows evidence that differential rotation leads to the observation of counter-rotating eddies consistent with the development of characteristic structures from turbulent fluid flow. This work sets up a platform for researching quantum turbulence in 2D Bose-Einstein condensates evolving under differential rotation in a rotating frame and gives direction for research that may have connection to classical phenomena seen in the atmospheres of the gas giants of our solar system and in liquid models here on Earth.