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We study the vortex nucleation in a finite Bose-Einstein condensate. Using a set of non-local and chiral boundary conditions to solve the Schr$\ddot{o}$dinger equation of non-interacting bosons in a rotating trap, we obtain a quantitative…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Eric Akkermans , Sankalpa Ghosh

We present results on the connection between the vorticity equation and the shape of the single-point vorticity PDF. The statistical framework for these observations is cast in form of conditional averages. The numerical evaluation of these…

Fluid Dynamics · Physics 2023-09-01 Michael Wilczek , Rudolf Friedrich

Quantum turbulence shares many similarities with classical turbulence in the isotropic and homogeneous case, despite the inviscid and quantized nature of its vortices. However, when quantum fluids are subjected to rotation, their turbulent…

Quantum Gases · Physics 2025-06-23 Julian Amette Estrada , Marc E. Brachet , Pablo D. Mininni

Matter entanglement is a common chaotic structure in both quantum and classical systems. Turbulence can be pictured as a tangle of vortex filaments in superfluids and viscous vortices in classical fluids. However, it is hard to explain how…

Fluid Dynamics · Physics 2024-08-21 Weiyu Shen , Jie Yao , Yue Yang

We investigate two-dimensional turbulence in finite-temperature trapped Bose-Einstein condensates within damped Gross-Pitaevskii theory. Turbulence is produced via circular motion of a Gaussian potential barrier stirring the condensate. We…

Quantum Gases · Physics 2012-11-27 M. T. Reeves , B. P. Anderson , A. S. Bradley

Quantum tunneling was observed in the decay of metastable spin domains in gaseous Bose-Einstein condensates. A mean-field description of the tunneling was developed and compared with measurement. The tunneling rates are a sensitive probe of…

Condensed Matter · Physics 2009-10-31 D. M. Stamper-Kurn , H. -J. Miesner , A. P. Chikkatur , S. Inouye , J. Stenger , W. Ketterle

Near absolute zero, superfluid liquid helium displays quantum properties at macroscopic length scales. One property, superfluidity, means flow with zero viscosity. Another property, the existence of a complex wavefunction, constrains the…

Fluid Dynamics · Physics 2022-07-12 Carlo F. Barenghi

In a recent study we demonstrated the emergence of turbulence in a trapped Bose-Einstein condensate of Rb-87 atoms. An intriguing observation in such a system is the behavior of the turbulent cloud during free expansion.The aspect ratio of…

Experiments on dipolar Bose-Einstein condensates have recently reported the observation of supersolidity. Although quantized vortices constitute a key probe of superfluidity, their observability in dipolar supersolids is largely prevented…

Quantum Gases · Physics 2023-01-04 Marija Šindik , Alessio Recati , Santo Maria Roccuzzo , Luis Santos , Sandro Stringari

Critical dynamics of an ultracold Bose gas far from equilibrium is studied in two spatial dimensions. Superfluid turbulence is created by quenching the equilibrium state close to zero temperature. Instead of immediately re-thermalizing, the…

Quantum Gases · Physics 2012-08-07 Jan Schole , Boris Nowak , Thomas Gasenzer

Recent investigations of turbulent circulation fluctuations have uncovered substantial insights into the statistical organization of flow structures and revealed unexpected geometric features of turbulent intermittency. Of particular…

We perform numerical simulations of finite temperature quantum turbulence produced through thermal counterflow in superfluid $^4$He, using the vortex filament model. We investigate the effects of solid boundaries along one of the Cartesian…

Fluid Dynamics · Physics 2015-03-10 Andrew W. Baggaley , Jason Laurie

We present thorough analysis of the nonlinear tunneling of Bose-Einstein condensates in static and accelerating two-dimensional lattices within the framework of the mean-field approximation. We deal with nonseparable lattices considering…

Other Condensed Matter · Physics 2007-10-02 V. A. Brazhnyi , V. V. Konotop , V. Kuzmiak , V. S. Shchesnovich

A hydrodynamic description is used to study the normal modes of a vortex in a zero-temperature Bose-Einstein condensate. In the Thomas-Fermi (TF) limit, the circulating superfluid velocity far from the vortex core provides a small…

Condensed Matter · Physics 2009-10-31 Anatoly Svidzinsky , Alexander Fetter

We analyze data from direct numerical simulations of homogeneous and isotropic turbulence (at Re_\lambda \approx 280) and study the statistics of curvature and torsion of Lagrangian trajectories in order to extract informations on the…

Chaotic Dynamics · Physics 2009-09-11 Andrea Scagliarini

Numerical calculations of Helium-II hydrodynamics show that a dense tangle of superfluid vortices induces in an initially stationary normal fluid a highly dissipative, complex, vortical flow pattern ("turbulence") with a -2.2 energy…

Fluid Dynamics · Physics 2007-05-23 Demosthenes Kivotides

Motivated by a recent experiment [K.C. Wright et. al. Phys. Rev. Lett. 110, 025302 (2013)], we investigate deterministic discontinuous jumps between quantized circulation states in a toroidally trapped Bose-Einstein condensate. These phase…

Quantum Gases · Physics 2015-06-22 A. I. Yakimenko , Y. M. Bidasyuk , M. Weyrauch , Y. I. Kuriatnikov , S. I. Vilchinskii

We calculate the frequencies and damping rates of the low-lying collective modes of a Bose-Einstein condensed gas at nonzero temperature. We use a complex nonlinear Schr\"odinger equation to determine the dynamics of the condensate atoms,…

Condensed Matter · Physics 2014-10-13 U. Al Khawaja , H. T. C. Stoof

We consider the thermodynamic geometry of an ideal non-Abelian gas. We show that, for a certain value of the fractional parameter and at the relevant maximum value of fugacity, the thermodynamic curvature has a singular point. This…

Statistical Mechanics · Physics 2011-09-15 Behrouz Mirza , Hosein Mohammadzadeh

We show that some statistical properties of forced two-dimensional turbulence have an important sensitivity to the form of large-scale dissipation which is required to damp the inverse cascade. We consider three models of large-scale…

Fluid Dynamics · Physics 2017-03-23 Yue-Kin Tsang
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