Twisting of filamentary vortex solitons demarcated by fast Poincaré recursion

Jeffrey Yepez; George Vahala; Linda Vahala

doi:10.1117/12.819005

27 April 2009 Twisting of filamentary vortex solitons demarcated by fast Poincaré recursion

Jeffrey Yepez, George Vahala, Linda Vahala

Proceedings Volume 7342, Quantum Information and Computation VII; 73420M (2009) https://doi.org/10.1117/12.819005
Event: SPIE Defense, Security, and Sensing, 2009, Orlando, Florida, United States

Abstract

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 (φ⁴ 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^-5.9 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 k^-3 power law emerges, characterizing fluid dynamics occurring within the scale size of the vortex cores themselves. Poincaré recurrence is studied: in the free non-interacting system, a fast Poincaré recurrence occurs for regular arrays of line vortices. The recurrence period is used to demarcate dynamics driving a nonlinear quantum fluid towards turbulence, since fast recurrence is an approximate symmetry of the nonlinear quantum fluid at early times. This class of quantum algorithms is useful for studying BEC superfluid dynamics and, without modification, should allow for higher resolution simulations (with many components) on future quantum computers.

Citation Download Citation

Jeffrey Yepez, George Vahala, and Linda Vahala "Twisting of filamentary vortex solitons demarcated by fast Poincaré recursion", Proc. SPIE 7342, Quantum Information and Computation VII, 73420M (27 April 2009); https://doi.org/10.1117/12.819005

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