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The stability of a quantized vortex state in Bose-Einstein condensation is examined within Bogoliubov theory for alkali atom gases confined in a harmonic potential under forced rotation. By solving the non-linear Bogoliubov equations…

Soft Condensed Matter · Physics 2009-10-31 Tomoya Isoshima , Kazushige Machida

We study both analytically and numerically the existence, uniqueness, and stability of vortex and dipole vector solitons in a saturable nonlinear medium in (2+1) dimensions. We construct perturbation series expansions for the vortex and…

Pattern Formation and Solitons · Physics 2009-11-07 Jianke Yang , Dmitry E. Pelinovsky

We theoretically study the development of quantum turbulence from two counter-propagating superfluids of miscible Bose-Einstein condensates by numerically solving the coupled Gross-Pitaevskii equations. When the relative velocity exceeds a…

Quantum Gases · Physics 2010-11-29 Hiromitsu Takeuchi , Shungo Ishino , Makoto Tsubota

We propose that the observed splitting of the vortices in the cuprates into fractional vortices (partons) may be of static rather than of dynamic origin. This interpretation is backed by a study of a model with a dominant d-wave and…

Superconductivity · Physics 2007-09-04 R. Hlubina

Multiply quantized vortices in trapped Bose-Einstein condensates are studied using the Bogoliubov theory. Suitable combinations of a localized pinning potential and external rotation of the system are found to energetically stabilize, both…

Soft Condensed Matter · Physics 2008-07-10 T. P. Simula , S. M. M. Virtanen , M. M. Salomaa

We address the existence, stability, and evolution of two-dimensional vortex quantum droplets (VQDs) in binary Bose-Einstein condensates trapped in a ring-shaped potential. The interplay of the Lee-Huang-Yang-amended nonlinearity and…

Quantum Gases · Physics 2024-01-17 Liangwei Dong , Mingjing Fan , Boris A. Malomed

We examine the dynamics of a particle in a general rotating quadratic potential, not necessarily stable or isotropic, using a general complex mode formalism. The problem is equivalent to that of a charged particle in a quadratic potential…

Quantum Physics · Physics 2015-06-03 R. Rossignoli , A. M. Kowalski

The study of superfluid quantum vortices has long been an important area of research, with previous work naturally focusing on two-dimensional and three-dimensional systems, where rotation stabilises point vortices and line vortices…

Quantum Gases · Physics 2024-09-20 Ben McCanna , Hannah M. Price

Based on the method of matched asymptotic expansion and on a time-dependent variational analysis, we study the dynamics of a vortex in the large-condensate (Thomas-Fermi) limit. Both methods as well as an analytical solution of the…

Statistical Mechanics · Physics 2007-05-23 Anatoly A. Svidzinsky , Alexander L. Fetter

We study two-fluid systems with nonzero fluid velocities and compute their sound modes, which indicate various instabilities. For the case of two zero-temperature superfluids we employ a microscopic field-theoretical model of two coupled…

High Energy Physics - Phenomenology · Physics 2016-01-26 Alexander Haber , Andreas Schmitt , Stephan Stetina

We use the Bogoliubov theory of Bose-Einstein condensation to study the properties of dipolar particles (atoms or molecules) confined in a uniform two-dimensional geometry at zero temperature. We find equilibrium solutions to the dipolar…

Quantum Gases · Physics 2012-06-08 Andrew G. Sykes , Christopher Ticknor

We study the dynamics of a doubly quantized vortex (DQV), created by releasing a ring-shaped Bose-Einstein condensate with quantized circulation into harmonic potential traps. It is shown that a DQV can be generated and exists stably in the…

Quantum Gases · Physics 2020-09-22 Bo Xiong , Tao Yang , Yu-Ju Lin , Daw-wei Wang

We consider superfluid helium inside a container which rotates at constant angular velocity and investigate numerically the stability of the array of quantized vortices in the presence of an imposed axial counterflow. This problem was…

Soft Condensed Matter · Physics 2012-04-05 Makoto Tsubota , Tsunehiko Araki , Carlo F. Barenghi

We analyze the stability of the vortex lattice in a rotating superfluid against thermal fluctuations associated with the long-wavelength Tkachenko modes of the lattice. Inclusion of only the two-dimensional modes leads formally to…

Condensed Matter · Physics 2009-10-22 Gordon Baym

Dynamical vortex production and quantum turbulence emerging in periodic perturbed quasi-two-dimensional (q2D) Bose-Einstein condensates are reported by considering two distinct time-dependent approaches. In both cases, dynamical simulations…

Quantum Gases · Physics 2024-01-19 L. Tomio , A. N. da Silva , S. Sabari , R. Kishor Kumar

We investigate the dynamics of quantum vortex dipoles in a strongly interacting, spin-imbalanced Fermi superfluid at zero temperature. Using fully microscopic time-dependent density functional theory, we demonstrate that the dipole…

Quantum Gases · Physics 2025-11-05 Andrea Barresi , Piotr Magierski , Gabriel Wlazłowski

Quantum droplets have been realized in experiments on binary boson mixtures and dipolar Bose gases. In these systems, the mean-field energy of the Bose-Einstein condensation is attractive, and the repulsive Lee-Huang-Yang energy is crucial…

Quantum Gases · Physics 2021-01-13 Qi Gu , Lan Yin

We study the properties of propagating polariton wave-packets and their connection to the stability of doubly charged vortices. Wave-packet propagation and related photoluminescence spectra exhibit a rich behaviour dependent on the…

Quantum Gases · Physics 2011-01-18 M. H. Szymanska , F. M. Marchetti , D. Sanvitto

Recently, the splitting of a topologically created doubly quantized vortex into two singly quantized vortices was experimentally investigated in dilute atomic cigar-shaped Bose-Einstein condensates [Y. Shin et al., Phys. Rev. Lett. 93,…

Quantum Physics · Physics 2009-11-13 J. A. M. Huhtamäki , M. Möttönen , T. Isoshima , V. Pietilä , S. M. M. Virtanen

We investigate the effect of inertial particles dispersed in a circular patch of finite radius on the stability of a two-dimensional Rankine vortex in semi-dilute dusty flows. Unlike the particle-free case where no unstable modes exist, we…

Fluid Dynamics · Physics 2022-10-05 Shuai Shuai , Darish Jeswin Dhas , Anubhab Roy , M. Houssem Kasbaoui