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.
| Original language | English (US) |
|---|---|
| Article number | 053631 |
| Journal | Physical Review A |
| Volume | 89 |
| Issue number | 5 |
| DOIs | |
| State | Published - May 30 2014 |
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ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
Cite this
Signatures of coherent vortex structures in a disordered two-dimensional quantum fluid. / Reeves, Matthew T.; Billam, Thomas P.; Anderson, Brian P; Bradley, Ashton S.
In: Physical Review A, Vol. 89, No. 5, 053631, 30.05.2014.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Signatures of coherent vortex structures in a disordered two-dimensional quantum fluid
AU - Reeves, Matthew T.
AU - Billam, Thomas P.
AU - Anderson, Brian P
AU - Bradley, Ashton S.
PY - 2014/5/30
Y1 - 2014/5/30
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84902108682&partnerID=8YFLogxK
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U2 - 10.1103/PhysRevA.89.053631
DO - 10.1103/PhysRevA.89.053631
M3 - Article
VL - 89
JO - Physical Review A
JF - Physical Review A
SN - 2469-9926
IS - 5
M1 - 053631
ER -