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Related papers: Vortex mass in a superfluid at low frequencies

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We calculate the characteristic length scale of a vortex line in a dilute, superfluid gas of fermionic atoms, and find that it is in general smaller, and has a weaker density dependence than the BCS coherence length. Taking this into…

Statistical Mechanics · Physics 2007-05-23 O. Elgaroy

We conduct a theoretical study of the creation and dynamics of vortices in a two-dimensional binary Bose-Einstein condensate with a mass imbalance between the species. To initiate the dynamics, we use one or two rotating paddle potentials…

Quantum Gases · Physics 2022-08-08 Subrata Das , Koushik Mukherjee , Sonjoy Majumder

We study the dynamics of vortices in an inhomogeneous Gross-Pitaevskii equation $i \partial_t u = \Delta u + {1\over \varepsilon^2} (p_\varepsilon^2(x) - |u|^2)$. For a unique scaling regime $|p_\varepsilon(x) - 1 | = O(|\log…

Analysis of PDEs · Mathematics 2016-10-24 Matthias Kurzke , Jeremy L. Marzuola , Daniel Spirn

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

In strongly nonequilibrium Bose-Einstein condensates described by the generalized Gross-Pitaevskii equation, vortex motion becomes self-accelerated while the long-range vortex-antivortex interaction appears to be repulsive. We numerically…

Quantum Gases · Physics 2020-01-08 Vladimir Gladilin , Michiel Wouters

The effects of a sudden increase and decrease of the interatomic interaction and harmonic-oscillator trapping potential on vortices in a quasi two-dimensional rotating Bose-Einstein condensate are investigated using the mean-field…

Soft Condensed Matter · Physics 2015-06-24 Sadhan K. Adhikari , Paulsamy Muruganandam

We solve the time-dependent Gross-Pitaevskii in 2-D to simulate the flow of an object through a dilute Bose condensate trapped in a harmonic well. We demonstrate vortex formation and analyze the process in terms of the accumulation of…

Statistical Mechanics · Physics 2007-05-23 B. Jackson , J. F. McCann , C. S. Adams

We study the dynamics of vortex lattice formation of a rotating trapped Bose-Einstein condensate by numerically solving the two-dimensional Gross-Pitaevskii equation, and find that the condensate undergoes elliptic deformation, followed by…

Condensed Matter · Physics 2009-11-07 Makoto Tsubota , Kenichi Kasamatsu , Masahito Ueda

We derive a fully quantum-mechanical equation of motion for a vortex in a 2-dimensional Bose superfluid, in the temperature regime where the normal fluid density $\rho_n(T)$ is small. The coupling between the vortex "zero mode" and the…

Mesoscale and Nanoscale Physics · Physics 2012-05-21 L. Thompson , P. C. E. Stamp

We study the dynamics of vortices in ideal and weakly interacting Bose-Einstein condensates using a Ritz minimization method to solve the two-dimensional Gross-Pitaevskii equation. For different initial vortex configurations we calculate…

Quantum Physics · Physics 2007-10-03 Alexander Klein , Dieter Jaksch , Yanzhi Zhang , Weizhu Bao

We study the vortex distribution of the wave functions minimizing the Gross Pitaevskii energy for a fast rotating condensate in the Lowest Landau Level (LLL): we prove that the minimizer cannot have a finite number of zeroes thus the…

Other Condensed Matter · Physics 2009-11-11 Amandine Aftalion , Xavier Blanc , Francis Nier

We study a harmonically-confined Bose-Einstein condensate under rotation. Vortex lattice configurations are investigated through a variational approach. Vortices with more than a unit of angular momentum are not stable. We explicitly show…

Condensed Matter · Physics 2009-11-07 V. Subrahmanyam

We statistically study vortex reconnections in quantum fluids by evolving different realizations of vortex Hopf links using the Gross--Pitaevskii model. Despite the time-reversibility of the model, we report a clear evidence that the…

Other Condensed Matter · Physics 2020-10-21 Alberto Villois , Davide Proment , Giorgio Krstulovic

We perform numerical simulations of vortex motion in a trapped Bose-Einstein condensate by solving the two-dimensional Gross-Pitaevskii Equation in the presence of a simple phenomenological model of interaction between the condensate and…

Statistical Mechanics · Physics 2009-11-13 E. J. M. Madarassy , C. F. Barenghi

The paper derives the transverse forces (the Magnus and the Lorentz forces) in the lattice models of superfluids in the continuous approximation. The continuous approximation restores translational invariance absent in the original lattice…

Other Condensed Matter · Physics 2013-12-25 E. B. Sonin

Non-linear oscillations of an elliptical cylinder, that can rotate about an axis that passes through its symmetry axle due to a torsional spring and hydrodynamic torque produced by the flow of a Newtonian fluid, were analysed in terms of a…

Fluid Dynamics · Physics 2023-07-28 F. Mandujano , E. Vázquez-Luis

We consider singly-quantized vortex states in a condensate of 52Cr atoms in a pancake trap. We obtain the vortex solutions by numerically solving the Gross-Pitaevskii equation in the rotating frame with no further approximations. The…

Quantum Gases · Physics 2015-05-14 M. Abad , M. Guilleumas , R. Mayol , M. Pi , D. M. Jezek

I review the basic physics of ultracold dilute trapped atomic gases, with emphasis on Bose-Einstein condensation and quantized vortices. The hydrodynamic form of the Gross-Pitaevskii equation (a nonlinear Schr{\"o}dinger equation)…

Quantum Gases · Physics 2015-05-19 Alexander L. Fetter

The evolution of a turbulent tangle of quantum vortices in presence of finite-size active particles is studied by means of numerical simulations of the Gross-Pitaevskii equation. Particles are modeled as potentials depleting the superfluid…

Fluid Dynamics · Physics 2020-07-01 Umberto Giuriato , Giorgio Krstulovic

The rotating neutron superfluid in the inner crust of a neutron star is threaded by quantized vortex lines. The pinning force from lattice nuclei and the Magnus force from neutron superfluid act onto a vortex line that has a finite tension.…

Astrophysics · Physics 2007-05-23 M. Hirasawa , N. Shibazaki