2008
DOI: 10.1103/physreva.77.063625
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Transition to quantum turbulence in a Bose-Einstein condensate through the bending-wave instability of a single-vortex ring

Abstract: We investigate the dynamics of an unstable vortex ring in a pancake-shaped Bose-Einsten condensate by solving the Gross-Pitaevskii equation numerically. It is found that a quasisteady turbulent state with long relaxation time can be achieved through the disruption of a perturbed vortex ring in the condensate owing to the bending-wave instability. We verify that this quantum turbulent state is characterized by Kolmogorov energy spcetrum.

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Cited by 30 publications
(19 citation statements)
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“…Critical points far from equilibrium, the so-called non-thermal fixed points, were proposed [6] and related to strong wave turbulence [7][8][9][10] and the formation of quasitopological defects [15][16][17]. Such defects play an important role in superfluid turbulence, also referred to as quantum turbulence (QT), which has been the subject of extensive studies in the context of helium [22,23] and dilute Bose gases [24][25][26][27]. In contrast to eddies in classical fluids, vorticity in a superfluid is quantized [28,29] and the creation and annihilation processes of quantized vortices are distinctly different [22,23].…”
Section: Introductionmentioning
confidence: 99%
“…Critical points far from equilibrium, the so-called non-thermal fixed points, were proposed [6] and related to strong wave turbulence [7][8][9][10] and the formation of quasitopological defects [15][16][17]. Such defects play an important role in superfluid turbulence, also referred to as quantum turbulence (QT), which has been the subject of extensive studies in the context of helium [22,23] and dilute Bose gases [24][25][26][27]. In contrast to eddies in classical fluids, vorticity in a superfluid is quantized [28,29] and the creation and annihilation processes of quantized vortices are distinctly different [22,23].…”
Section: Introductionmentioning
confidence: 99%
“…Although vortex dipoles are widespread in classical fluid flows [1], their role in superfluids seems less well established. Given the appearance of vortices and antivortices in the Berezinskii-Kosterlitz-Thouless transition [2][3][4] and superfluid turbulence [5][6][7], a detailed study of vortex dipoles will contribute to a broader understanding of superfluid phenomena.…”
Section: Introductionmentioning
confidence: 99%
“…In superfluids, the roles of quantized vortex dipoles appear less well established. Given the prevalence of vortices and antivortices in superfluid turbulence [4][5][6], the Berezinskii-Kosterlitz-Thouless (BKT) transition [7], and phase transition dynamics [8][9][10][11], a quantitative study of vortex dipoles will contribute to a broader and deeper understanding of superfluid phenomena. The realization of vortex dipoles in dilute Bose-Einstein condensates (BECs) is especially significant as BECs provide a clean testing ground for the microscopic physics of superfluid vortices [12][13][14].…”
mentioning
confidence: 99%