Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 1 of 1
Full-Text Articles in Physics
Quantum Algorithm For Bose-Einstein Condensate Quantum Fluid Dynamics: Twisting Of Filamentary Vortex Solitons Demarcated By Fast Poincare Recursion, Jeffrey Yepez, George Vahala, Linda L. Vahala
Quantum Algorithm For Bose-Einstein Condensate Quantum Fluid Dynamics: Twisting Of Filamentary Vortex Solitons Demarcated By Fast Poincare Recursion, Jeffrey Yepez, George Vahala, Linda L. Vahala
Electrical & Computer Engineering Faculty Publications
The dynamics of vortex solitons is studied in a BEC superfluid. A quantum lattice-gas algorithm (measurementbased quantum computation) is employed to examine the dynamical behavior vortex soliton solutions of the Gross-Pitaevskii equation (ø4 interaction nonlinear Schroedinger equation). Quantum turbulence is studied in large grid numerical simulations: Kolmogorov spectrum associated with a Richardson energy cascade occurs on large flow scales. At intermediate scales, a new k-6 power law emerges, due to vortex filamentary reconnections associated with Kelvin wave instabilities (vortex twisting) coupling to sound modes and the exchange of intermediate vortex rings. Finally, at very small spatial scales a …