Signatures of coherent vortex structures in a disordered two-dimensional quantum fluid

Reeves, M.T.; Billam, T.P.; Anderson, B.P.; Bradley, A.S.

doi:10.1103/physreva.89.053631

Signatures of coherent vortex structures in a disordered two-dimensional quantum fluid

Reeves, M.T.; Billam, T.P.; Anderson, B.P.; Bradley, A.S.

Authors

M.T. Reeves

T.P. Billam

B.P. Anderson

A.S. Bradley

Abstract

The emergence of coherent rotating structures is a phenomenon characteristic of both classical and quantum two-dimensional (2D) turbulence. In this work we show theoretically that the coherent vortex structures that emerge in decaying 2D quantum turbulence can approach quasiclassical rigid-body rotation, obeying the Feynman rule of constant average areal vortex density while remaining spatially disordered. By developing a rigorous link between the velocity probability distribution and the quantum kinetic energy spectrum over wave number k, we show that the coherent vortex structures are associated with a k3 power law in the infrared region of the spectrum, and a well-defined spectral peak that is a physical manifestation of the largest structures. We discuss the possibility of realizing coherent structures in Bose-Einstein condensate experiments and present Gross-Pitaevskii simulations showing that this phenomenon, and its associated spectral signatures, can emerge dynamically from feasible initial vortex configurations.

Citation

Reeves, M., Billam, T., Anderson, B., & Bradley, A. (2014). Signatures of coherent vortex structures in a disordered two-dimensional quantum fluid. Physical Review A, 89(5), https://doi.org/10.1103/physreva.89.053631

Journal Article Type	Article
Publication Date	May 30, 2014
Deposit Date	Sep 11, 2014
Publicly Available Date	Sep 19, 2014
Journal	Physical Review A
Print ISSN	1050-2947
Electronic ISSN	1094-1622
Publisher	American Physical Society
Peer Reviewed	Peer Reviewed
Volume	89
Issue	5
DOI	https://doi.org/10.1103/physreva.89.053631

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Copyright Statement
Reprinted with permission from the American Physical Society: Matthew T. Reeves, Thomas P. Billam, Brian P. Anderson, and Ashton S. Bradley (2014) 'Signatures of coherent vortex structures in a disordered two-dimensional quantum fluid.'.
Physical Review A, 89 (5), 053631. © 2014 by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.