Physical Review Letters
The main topological feature of a superfluid is a quantum vortex with an identifiable inner and outer radius. A novel unitary quantum lattice gas algorithm is used to simulate quantum turbulence of a Bose-Einstein condensate superfluid described by the Gross-Pitaevskii equation on grids up to 57603. For the first time, an accurate power-law scaling for the quantum Kelvin wave cascade is determined: k-3. The incompressible kinetic energy spectrum exhibits very distinct power-law spectra in 3 ranges of k space: a classical Kolmogorov k-(5/3) spectrum at scales greater than the outer radius of individual quantum vortex cores and a quantum Kelvin wave cascade spectrum k-3 on scales smaller than the inner radius of the quantum vortex core. The k-3 quantum Kelvin wave spectrum due to phonon radiation is robust, while the k-(5/3) classical Kolmogorov spectrum becomes robust on large grids.
Original Publication Citation
Yepez, J., Vahala, G., Vahala, L., & Soe, M. (2009). Superfluid turbulence from quantum Kelvin wave to classical Kolmogorov cascades. Physical Review Letters, 103(8). doi: 10.1103/PhysRevLett.103.084501
Yepez, Jeffrey; Vahala, George; Vahala, Linda L.; and Soe, Min, "Superfluid Turbulence from Quantum Kelvin Wave to Classical Kolmogorov Cascades" (2009). Electrical & Computer Engineering Faculty Publications. 26.