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Proceedings Paper

Unitary quantum lattice gas representation of 2D quantum turbulence
Author(s): Bo Zhang; George Vahala; Linda Vahala; Min Soe
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Paper Abstract

Quantum vortex structures and energy cascades are examined for two dimensional quantum turbulence (2D QT) using a special unitary evolution algorithm. The qubit lattice gas (QLG) algorithm, is employed to simulate the weakly-coupled Bose-Einstein condensate (BEC) governed by the Gross-Pitaevskii (GP) equation. A parameter regime is uncovered in which, as in 3D QT, there is a very short Poincare recurrence time. This short recurrence time is destroyed as the nonlinear interaction energy is increased. Energy cascades for 2D QT are considered to examine whether 2D QT exhibits the inverse cascades of 2D classical turbulence. In the parameter regime considered, the spectra analysis reveals no such dual cascades---dual cascades being a hallmark of 2D classical turbulence.

Paper Details

Date Published: 3 June 2011
PDF: 12 pages
Proc. SPIE 8057, Quantum Information and Computation IX, 80570E (3 June 2011); doi: 10.1117/12.883715
Show Author Affiliations
Bo Zhang, The College of William & Mary (United States)
George Vahala, The College of William & Mary (United States)
Linda Vahala, Old Dominion Univ. (United States)
Min Soe, Rogers State Univ. (United States)

Published in SPIE Proceedings Vol. 8057:
Quantum Information and Computation IX
Eric Donkor; Andrew R. Pirich; Howard E. Brandt, Editor(s)

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