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Author: Armen Oganesov
Requested Type: Poster
Submitted: 2016-02-15 17:28:38

Co-authors: George Vahala, Linda Vahala , Jeffrey Yepez , and Min Soe

Contact Info:
College of William & Mary
Department of Physics
Williamsburg, VA   23185

Abstract Text:
The Kelvin-Helmholtz instability is one of the most standard velocity-shear instabilities in fluids. However there is much interest in this instability in the quantum regime where the vortices are topological singularities with quantized circulation. The governing equation for the quantum Kelvin-Helmholtz instability is the nonlinear Schrodinger equation (NLS) – and equation that is ubiquitous in plasma physics, nonlinear optics and the evolution of the ground state of scalar Bose Einstein condensates. The evolution of the velocity shear layer forms saw-teeth oscillations that steepen and shed off quantized vortices. We follow this dynamic using a unitary quantum lattice gas algorithm for NLS. As one proceeds to spin-2 BECs, the properties of the Kelvin-Helmholtz instability should be significantly modified as for these spinor BECs the vortices can not only have rational circulation, but even non-quantized circulations. Analogies will be made to the classical vortices shed in fluid Kelvin-Helmholtz instability.