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We derive, from the Gross-Pitaevskii equation, an exact expression for the velocity of any vortex in a Bose-Einstein condensate, in equilibrium or not, in terms of the condensate wave function at the center of the vortex. In general, the…

Other Condensed Matter · Physics 2009-11-11 Halvor M. Nilsen , Gordon Baym , C. J. Pethick

We have measured the critical velocity v_c at which 3He-A in a rotating cylinder becomes unstable against the formation of quantized vortex lines with continuous (singularity-free) core structure. We find that v_c is distributed between a…

Soft Condensed Matter · Physics 2009-10-30 V. M. H. Ruutu , J. Kopu , M. Krusius , Ü. Parts , B. Placais , E. V. Thuneberg , W. Xu

The critical velocity vc for the onset of turbulent drag of small spheres oscillating in superfluid 4He is frequency dependent (omega/2pi from 100 Hz to 700 Hz) and is described by vc = 2.6sqrt(kappa*omega), where kappa is the circulation…

Other Condensed Matter · Physics 2008-11-19 R. Hänninen , W. Schoepe

We investigate the properties of quantized vortices in a dipolar Bose-Einstein condensed gas by means of a generalised Gross-Pitaevskii equation. The size of the vortex core hugely increases by increasing the weight of the dipolar…

Quantum Gases · Physics 2020-08-26 A. Gallemì , S. M. Roccuzzo , S. Stringari , A. Recati

We map out the critical velocity in the crossover from Bose-Einstein condensation (BEC) to Bardeen-Cooper-Schrieffer superfluidity with ultracold $^{6}$Li gases. A small attractive potential is dragged along lines of constant column…

A phenomenon of energy dissipation in Bose-Einstein condensates is studied based on a microscopic model for the motion of impurity. Critical velocities for onset of energy dissipation are obtained for periodic motions, such as a dipole-like…

Statistical Mechanics · Physics 2009-11-11 Jun Suzuki

The flow of a uniform Bose gas at speeds greater than the Landau critical velocity, v_c, does not necessarily destroy superfluidity, but rather need only lead to a decrease of the superfluid mass density, {\rho}_s. Analyzing a weakly…

Quantum Gases · Physics 2015-06-05 Gordon Baym , C. J. Pethick

Vortex structures in dilute quantum fluids are studied using the Gross-Pitaevskii equation. The velocity and momentum of multiply quantized vortex rings are determined and their core structures analysed. For flow past a spherical object, we…

Condensed Matter · Physics 2009-10-31 T. Winiecki , J. F. McCann , C. S. Adams

We study the instability of a moving spinor Bose-Einstein condensate when the speed of flow reaches the critical velocity. This we identify on the basis of Landau's criterion, i.e. the velocity above which some elementary excitation energy…

Quantum Gases · Physics 2013-03-15 Gergely Szirmai

The phenomenon of superfluidity in open Bose-Einstein condensates (BEC) is analysed numerically and analytically. It is found that a superfluid phase is feasible even above the speed of sound, when forces due to inhomogeneous…

Quantum Gases · Physics 2018-01-17 Florian Pinsker

Two different types of transitions of the superfluid $^4$He to quantum turbulence regimes are studied for $1{\rm D}$ geometry in the case when the influence of the normal fluid on superfluid flow is suppressed. It is shown that the roton…

Other Condensed Matter · Physics 2009-09-08 V. I. Kruglov

We theoretically study the nonlinear dynamics of the instability of counter-superflow in two miscible Bose-Einstein condensates. The condensates become unstable when the relative velocity exceeds a critical value, which is called…

Quantum Gases · Physics 2015-05-19 Shungo Ishino , Hiromitsu Takeuchi , Makoto Tsubota

We study superfluidity of supersolid phases of dipolar Bose gases in two-dimensional optical lattices. We perform linear stability analyses for the corresponding dipolar Bose-Hubbard model in the hardcore boson limit to show that a…

Quantum Gases · Physics 2015-05-18 Ippei Danshita , Daisuke Yamamoto

We numerically model experiments on the superfluid critical velocity of an elongated, harmonically trapped Bose-Einstein condensate as reported by [P. Engels and C. Atherton, Phys. Rev. Lett. 99, 160405 (2007)]. These experiments swept an…

Quantum Gases · Physics 2019-10-01 Chao Feng , Matthew J. Davis

We use a modified Thomas-Fermi approximation to estimate analytically the critical velocity for the formation of vortices in harmonically trapped BEC. We compare this analytical estimate to numerical calculations and to recent experiments…

Condensed Matter · Physics 2009-10-31 M. Crescimanno , C. G. Koay , R. Peterson , R. Walsworth

We theoretically study the critical speed for superfluid flow of a two-dimensional miscible binary superfluid of light past a polarization-sensitive optical obstacle. This speed corresponds to the maximum mean flow velocity below which…

Quantum Gases · Physics 2026-05-05 Pierre-Élie Larré , Claire Michel , Nicolas Cherroret

We report on numerical solutions of the Gross-Pitaevskii equation for two-dimensional flow of a superfluid condensate through a small orifice. Above a critical velocity of about $30\%$ of the speed of sound, cavitation occurs in the throat…

Condensed Matter · Physics 2007-05-23 Ajit Srivastava , Michael Stone

We study the two-dimensional Gross-Pitaevskii theory of a rotating Bose gas in a disc-shaped trap with Dirichlet boundary conditions, generalizing and extending previous results that were obtained under Neumann boundary conditions. The…

Mathematical Physics · Physics 2011-04-25 M. Correggi , F. Pinsker , N. Rougerie , J. Yngvason

We determine in a nonperturbative way the critical velocity for superfluidity of a generic quantum fluid flowing past a localized obstacle in the one-dimensional mean-field regime. We get exact expressions in the narrow- and wide-obstacle…

Quantum Gases · Physics 2022-02-08 Juliette Huynh , Mathias Albert , Pierre-Élie Larré

We show the generation of two-dimensional quantum turbulence through simulations of a giant vortex decay in a trapped Bose-Einstein condensate. While evaluating the incompressible kinetic energy spectra of the quantum fluid described by the…

Quantum Gases · Physics 2014-05-06 A. C. Santos , V. S. Bagnato , F. E. A. dos Santos