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We introduce a new method of statistical analysis to characterise the dynamics of turbulent fluids in two dimensions. We establish that, in equilibrium, the vortex distributions can be uniquely connected to the temperature of the vortex…

In the context of Gross-Pitaevskii theory, we investigate the unconventional Bose-Einstein condensations in the two-species mixture with $p$-wave symmetry in the second band of a bipartite optical lattice. A new imaginary-time propagation…

Quantum Gases · Physics 2016-06-01 Jhih-Shih You , I-Kang Liu , Daw-Wei Wang , Shih-Chuan Gou , Congjun Wu

A trapped Bose-Einstein condensate, being strongly perturbed, exhibits several spatial structures. First, there appear quantum vortices. Increasing the amount of the injected energy leads to the formation of vortex tangles representing…

Quantum Gases · Physics 2015-06-04 V. I. Yukalov , A. N. Novikov , V. S. Bagnato

We make use of an analog gravity perspective to obtain a physical understanding of hydrodynamic instabilities stemming from the presence of quantized vortices in two-component atomic condensates and of their relation to ergoregion…

Quantum Gases · Physics 2025-11-17 Anna Berti , Luca Giacomelli , Iacopo Carusotto

We demonstrate numerically the efficient generation of vortices in Bose-Einstein condensates (BEC) by using a ``phase imprinting'' method. The method consist of passing a far off resonant laser pulse through an absorption plate with…

Statistical Mechanics · Physics 2009-10-31 L. Dobrek , M. Gajda , M. Lewenstein , K. Sengstock , G. Birkl , W. Ertmer

We studied the nucleation of vortices in a Bose-Einstein condensate stirred by a laser beam. We observed the vortex cores using time-of-flight absorption imaging. By varying the size of the stirrer, we observed either discrete resonances or…

Soft Condensed Matter · Physics 2009-11-07 C. Raman , J. R. Abo-Shaeer , J. M. Vogels , K. Xu , W. Ketterle

Vortex filament model has become a standard and powerful tool to visualize the motion of quantized vortices in helium superfluids. In this article, we present an overview of the method and highlight its impact in aiding our understanding of…

Other Condensed Matter · Physics 2014-04-29 Risto Hänninen , Andrew W. Baggaley

Turbulence, the complicated fluid behavior of nonlinear and statistical nature, arises in many physical systems across various disciplines, from tiny laboratory scales to geophysical and astrophysical ones. The notion of turbulence in the…

The tunneling rate t_v of a vortex between two pinning sites (of strength V separated by d) is computed using the Bogoliubov expansion of vortex wavefunctions overlap. For BCS vortices, tunneling is suppressed beyond a few Fermi…

Superconductivity · Physics 2009-11-11 Assa Auerbach , Daniel P. Arovas , Sankalpa Ghosh

The motion of noncircular two-dimensional vortices is shown to depend on a form of coupling between vortex ellipticity and the gradient of fluid density. The approach is based on the perspective that an elliptic vortex can be described as…

Fluid Dynamics · Physics 2021-09-29 Jasmine M. Andersen , Andrew A. Voitiv , Mark E. Siemens , Mark T. Lusk

A method is presented that is able to predict the probability of outcomes of snapshot measurements, such as the images of the instantaneous particle density distribution in a quantum many-body system. It is shown that a gauge-like…

Quantum Physics · Physics 2008-09-05 A. L. Shelankov , J. Rammer

Three-dimensional solitary and vortex structures in Bose-Einstein condensates are studied in the framework of Gross-Pitaevskii model including the simultaneous action of local cubic-quintic nonlinearity and nonlocal dipole-dipole…

Pattern Formation and Solitons · Physics 2009-11-13 Yu. A. Zaliznyak , A. I. Yakimenko

When two or more energy bands become degenerate at a singular point in the momentum space, such singularity, or ``Dirac points", gives rise to intriguing quantum phenomena as well as unusual material properties. Systems at the Dirac points…

Quantum Gases · Physics 2025-09-09 Yunda Li , Wei Han , Zengming Meng , Wenxin Yang , Cheng Chin , Jing Zhang

We observed a new mechanism for vortex nucleation in Bose-Einstein condensates (BECs) subject to synthetic magnetic fields. We made use of a strong synthetic magnetic field initially localized between a pair of merging BECs to rapidly…

Quantum Gases · Physics 2023-07-20 R. M. Price , D. Trypogeorgos , D. L. Campbell , A. Putra , A. Valdés-Curiel , I. B. Spielman

The structure of a quantized vortex in a Bose-Einstein Condensate is investigated using the projection method developed by Peierls, Yoccoz, and Thouless. This method was invented to describe the collective motion of a many-body system…

Condensed Matter · Physics 2007-05-23 Jian-Ming Tang

We simulate in the mean-field limit the effects of rotationally stirring a three-dimensional trapped Bose-Einstein condensate with a Gaussian laser beam. A single vortex cycling regime is found for a range of trap geometries, and is well…

Condensed Matter · Physics 2009-10-31 B. M. Caradoc-Davies , R. J. Ballagh , P. B. Blakie

Spinorial or multi-component Bose-Einstein condensates may sustain fractional quanta of circulation, vorticant topological excitations with half integer windings of phase and polarization. Matter-light quantum fluids, such as microcavity…

We stir vortices into a trapped quasi two-dimensional atomic Bose-Einstein condensate by moving three laser stirrers. We apply stirring protocols introduced by Boyland et. al. (2000) that efficiently build in topological chaos in classical…

Quantum Gases · Physics 2015-06-15 Angela White , Nick Proukakis , Carlo Barenghi

The generation of isotropic vortex configurations in trapped atomic Bose-Einstein condensates offers a platform to elucidate quantum turbulence on mesoscopic scales. We demonstrate that a laser-induced obstacle moving in a figure-eight path…

Quantum Gases · Physics 2015-06-18 A. J. Allen , N. G. Parker , N. P. Proukakis , C. F. Barenghi

We analyse, theoretically and experimentally, the nature of solitonic vortices (SV) in an elongated Bose-Einstein condensate. In the experiment, such defects are created via the Kibble-Zurek mechanism, when the temperature of a gas of…

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