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Theoretical and Mathematical Physics

Bose condensation: The viscosity critical dimension and developed turbulence

Marina Vladimirovna Komarova, Дмитрий Михайлович Краснов, Mikhail Yu. Nalimov

Published Oct 1, 2011• 8 citations
Publisher
DOI
10.1007/s11232-011-0120-0

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•Dec 17, 2018•0 citations
Turbulence enhances momentum transport in classical fluids, effectively increasing their viscosity. We investigate an analogous effect in a superfluid by measuring the damping of collective oscillations in an atomic Bose-Einstein condensate (BEC) containing stationary spin-superflow turbulence. Using continuous spin driving to maintain turbulence in a spin-1 ^{23}Na BEC, we excite its quadrupole mode and measure the damping rate over a range of temperatures. The damping consistently exceeds the Landau-damping rate expected for an equilibrium, nonturbulent BEC. The enhancement likely originates from two complementary processes: direct energy transfer from the mode to turbulent condensate fluctuations and turbulence-induced modification of the thermal cloud that amplifies Landau damping. These results establish collective-mode damping as a sensitive probe of momentum transport in superfluid turbulence.
We present an ab initio calculation of the shear viscosity as a function of interaction strength in a two-component unpolarized Fermi gas near the unitary limit, within a finite temperature quantum Monte Carlo (QMC) framework and using the Kubo linear-response formalism. The shear viscosity decreases as we tune the interaction strength 1akF\frac{1}{a{k}_{F}}akF​1​ from the Bardeen-Cooper-Schrieffer side of the Feshbach resonance towards Bose-Einstein condensation limit and it acquires the smallest value for $\frac{1}{a{k}_{F}}\ensuremath{\approx}0.4$, with a minimum value of ${\frac{\ensuremath{\eta}}{s}|}_{\text{min}}\ensuremath{\approx}0.2\frac{\ensuremath{\hbar}}{{k}_{B}}$, which is about twice as small as the value reported for experiments in quark-gluon plasma ${\frac{\ensuremath{\eta}}{s}|}_{\text{QGP}}\ensuremath{\lesssim}0.4\frac{\ensuremath{\hbar}}{{k}_{B}}$. The Fermi gas near unitarity thus emerges as the most ``perfect fluid'' observed so far in nature. The clouds of dilute Fermi gas near unitarity exhibit the unusual attribute that, for the sizes realized so far in the laboratory, or larger (less than 109{10}^{9}109 atoms), can sustain quantum turbulence below the critical temperature, but at the same time the classical turbulence is suppressed in the normal phase.
Lars Onsager noted that turbulent fluids constrained to flow in two dimensions tend to develop large-scale features. Quantum fluids, such as atomic Bose–Einstein condensates, also feature turbulent flows, however their vortices behave as discrete point-like particles. This thesis presents the results of experiments on the distribution of quantised vortices in highly oblate, uniform Bose-Einstein condensates. Initially randomly distributed vortices were observed to rearrange themselves to become more ordered, resembling Onsager’s description of large-scale flow features. These results add to our current understanding of the physical processes involved in turbulent flows of superfluids.