Unitary quantum lattice gas representation of 2D quantum turbulence

Bo Zhang; George Vahala; Linda Vahala; Min Soe

doi:10.1117/12.883715

3 June 2011 Unitary quantum lattice gas representation of 2D quantum turbulence

Bo Zhang, George Vahala, Linda Vahala, Min Soe

Proceedings Volume 8057, Quantum Information and Computation IX; 80570E (2011) https://doi.org/10.1117/12.883715
Event: SPIE Defense, Security, and Sensing, 2011, Orlando, Florida, United States

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.

Citation Download Citation

Bo Zhang, George Vahala, Linda Vahala, and Min Soe "Unitary quantum lattice gas representation of 2D quantum turbulence", Proc. SPIE 8057, Quantum Information and Computation IX, 80570E (3 June 2011); https://doi.org/10.1117/12.883715

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