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Proceedings Paper

Poincare recurrence and intermittent destruction of the quantum Kelvin wave cascade in quantum turbulence
Author(s): George Vahala; Jeffrey Yepez; Linda Vahala; Min Soe; Sean Ziegeler
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Paper Abstract

A quantum lattice gas algorithm, based on interleaved unitary collide-stream operators, is used to study quantum turbulence of the ground state wave function of a Bose-Einstein condensate (BEC). The Gross-Pitaevskii equation is a Hamiltonian system for a compressible, inviscid quantum fluid. From simulations on a 57603 grid it was observed that a multi-cascade existed for the incompressible kinetic energy spectrum with universal features: the large spatial scales exhibit a classical Kolmogorov k -5/3 spectrum while the very small scales exhibit a quantum Kelvin wave cascade k-3 spectrum. Under certain conditions one can explicitly determine the Poincare recurrence of initial conditions as well as the intermittent destruction of the Kelvin wave cascade.

Paper Details

Date Published: 16 April 2010
PDF: 14 pages
Proc. SPIE 7702, Quantum Information and Computation VIII, 770207 (16 April 2010); doi: 10.1117/12.850576
Show Author Affiliations
George Vahala, The College of William & Mary (United States)
Jeffrey Yepez, Air Force Research Lab. (United States)
Linda Vahala, Old Dominion Univ. (United States)
Min Soe, Rogers State Univ. (United States)
Sean Ziegeler, High Performance Technologies, Inc., (United States)

Published in SPIE Proceedings Vol. 7702:
Quantum Information and Computation VIII
Eric J. Donkor; Andrew R. Pirich; Howard E. Brandt, Editor(s)

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