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Two-Dimensional Quantum Turbulence and Vortex Dynamics in BECs

Banff International Research Station for Mathematical Innovation and Discovery

Atomic-gas Bose-Einstein condensates (BECs) enable unique opportunities for laboratory studies of superfluid dynamics, such as the complex flows found in two-dimensional quantum turbulence (2DQT). Although experimental and theoretical study of turbulent flows in classical fluids is often especially challenging, 2DQT in a BEC may be readily characterized by the dynamics of quantized vortices, which can be generated, manipulated, and optically detected with laser light. Additionally, analytical and numerical methods provide predictions of vortex dynamics and 2DQT characteristics that can be directly tested in the laboratory. Our understanding of 2DQT and other superfluid phenomena thus relies upon an understanding of vortex dynamics and their effective interactions within few-vortex and many-vortex systems. In this talk, we will discuss recent research on 2DQT and vortex dynamics in BECs in order to give an overview of this field, focusing on laboratory achievements, techniques, and realistic future avenues of study, as well as how experiments may inform and are aided by ongoing theoretical research.

Mathematics; Partial differential equations; Dynamical systems and ergodic theory

video/mp4

Author affiliation: University of Arizona

2017-01-29

Attribution-NonCommercial-NoDerivatives 4.0 International

http://hdl.handle.net/2429/60047

Unreviewed

http://creativecommons.org/licenses/by-nc-nd/4.0/