2012
DOI: 10.1103/physreva.85.043627
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Nonthermal fixed points, vortex statistics, and superfluid turbulence in an ultracold Bose gas

Abstract: Nonthermal fixed points of the dynamics of a dilute degenerate Bose gas far from thermal equilibrium are analysed in two and three spatial dimensions. Universal power-law distributions, previously found within a nonperturbative quantum-field theoretical approach and recently shown to be related to vortical dynamics and superfluid turbulence [Phys. Rev. B 84, 020506(R) (2011)], are studied in detail. The results imply an interpretation of the scaling behavior in terms of independent vortex excitations of the su… Show more

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Cited by 124 publications
(224 citation statements)
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“…One observes that for weak couplings λ 0.1 the spectra lie on top of each other to very good accuracy. 7 In contrast, for λ = 0.5 deviations are clearly visible and also the shape becomes qualitatively different, not showing the infrared enhancement or power law behavior. The presented results for λ ≤ 0.1 are insensitive to the employed Rayleigh-Jeans cutoff.…”
Section: Limitations Of Classical-statistical Simulationsmentioning
confidence: 93%
See 2 more Smart Citations
“…One observes that for weak couplings λ 0.1 the spectra lie on top of each other to very good accuracy. 7 In contrast, for λ = 0.5 deviations are clearly visible and also the shape becomes qualitatively different, not showing the infrared enhancement or power law behavior. The presented results for λ ≤ 0.1 are insensitive to the employed Rayleigh-Jeans cutoff.…”
Section: Limitations Of Classical-statistical Simulationsmentioning
confidence: 93%
“…In these examples, attractor solutions with self-similar scaling behavior are associated with the phenomenon of Kolmogorov wave turbulence [4,5] and strong turbulence with fluid-like behavior [2,[6][7][8] which leads to Bose condensation far from equilibrium [9][10][11]. A turbulent thermalization mechanism has also been predicted for non-Abelian gauge theories using classical-statistical simulations in a fixed box, where different groups obtain consistent results [12][13][14].…”
Section: Jhep05(2014)054mentioning
confidence: 99%
See 1 more Smart Citation
“…Furthermore, Kobayashi et al generated the stationary steady state QT using the dissipative GP equation and obtained the Kolmogorov law [127,128]. Recently, QT was investigated in terms of a non-thermal fixed point, and the Kolmogorov law was also observed [129,130]. The numerical method for solving the GP equation by pseudo-spectral calculations was well described in Ref.…”
Section: Vortex Turbulence Of Single-component Becs In 3d Systemsmentioning
confidence: 99%
“…Originally, this study focused on superfluid helium, but this result is important for understanding QT in ultracold atomic BECs. After this study, some theoretical works studied QT in ultracold atomic BECs, finding the same Kolmogorov −5/3 law [125,126,127,128,129,130].…”
Section: Theoretical Studies Of Qt For Single-component Becs In 3d Symentioning
confidence: 99%