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This article reviews developments in the theory of rapidly rotating degenerate atomic gases. The main focus is on the equilibrium properties of a single component atomic Bose gas, which (at least at rest) forms a Bose-Einstein condensate.…

Mesoscale and Nanoscale Physics · Physics 2009-11-26 N. R. Cooper

We present a theoretical study of vortices within a harmonically trapped Bose-Einstein condensate in a rotating optical lattice. We find that proximity to the Mott insulating state dramatically effects the vortex structures. To illustrate…

Other Condensed Matter · Physics 2009-11-13 Daniel S. Goldbaum , Erich J. Mueller

We have created vortices in two-component Bose-Einstein condensates. The vortex state was created through a coherent process involving the spatial and temporal control of interconversion between the two components. Using an interference…

Condensed Matter · Physics 2009-10-31 M. R. Matthews , B. P. Anderson , P. C. Haljan , D. S. Hall , C. E. Wieman , E. A. Cornell

We predict the formation of giant vortices in quasi-two-dimensional quantum dots at high magnetic fields, i.e., in rapidly rotating electron droplets. Our numerical results of quantum dots confined by a flat, anharmonic potential show…

Strongly Correlated Electrons · Physics 2007-05-23 E. Rasanen , H. Saarikoski , Y. Yu , A. Harju , M. J. Puska , S. M. Reimann

In a shaken Bose-Einstein condensate, confined in a vibrating trap, there can appear different nonlinear coherent modes. Here we concentrate on two types of such coherent modes, vortex ring solitons and vortex rings. In a cylindrical trap,…

Quantum Gases · Physics 2016-03-23 V. I. Yukalov , A. N. Novikov , E. P. Yukalova , V. S. Bagnato

A vortex molecule is predicted in rotating two-component Bose-Einstein condensates whose internal hyperfine states are coupled coherently by an external field. A vortex in one component and that in the other are connected by a domain wall…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Kenichi Kasamatsu , Makoto Tsubota , Masahito Ueda

Spin-orbital-angular-momentum (SOAM) coupling has been realized in recent experiments of Bose-Einstein condensates [Chen et al., Phys. Rev. Lett. 121, 113204 (2018) and Zhang et al., Phys. Rev. Lett. 122, 110402 (2019)], where the orbital…

Quantum Gases · Physics 2021-01-06 Ke-Ji Chen , Fan Wu , Shi-Guo Peng , Wei Yi , Lianyi He

We investigate the possibilities of generation of solitons and vortices in a degenerate gas of neutral fermionic atoms. In analogy with, already experimentally demonstrated, technique applied to gaseous Bose-Einstein condensate we propose…

Condensed Matter · Physics 2009-11-07 T. Karpiuk , M. Brewczyk , K. Rzazewski

We investigate dynamic creation of fractionalized half-quantum vortices in Bose-Einstein condensates of sodium atoms. Our simulations show that both individual half-quantum vortices and vortex lattices can be created in rotating optical…

Other Condensed Matter · Physics 2009-11-13 An-Chun Ji , W. M. Liu , Jun Liang Song , Fei Zhou

Vortices are among the simplest topological structures, and occur whenever a flow field `whirls' around a one-dimensional core. They are ubiquitous to many branches of physics, from fluid dynamics to superconductivity and superfluidity, and…

Electrons in a quantum Hall fluid can bind with an integer number of vortices to form composite fermions and composite bosons. We show that the quantum Hall bilayer at filling $\nu=\frac{1}{4}+\frac{3}{4}$ with interlayer separation $d$ can…

Strongly Correlated Electrons · Physics 2026-03-20 Glenn Wagner , Dung X. Nguyen

The system of Bose-Fermi superfluid mixture offers a playground to explore rich macroscopic quantum phenomena. In a recent experiment of Yao {\it et al.} [Phys. Rev. Lett. {\bf 117}, 145301 (2016)], $^{41}$K-$^{6}$Li superfluid mixture is…

Quantum Gases · Physics 2023-09-19 Wen Wen , Lu Zhou , Zhenjun Zhang , Hui-jun Li

We have theoretically investigated the structure of spinning self-bound droplets made of $^{41}$K-$^{87}$Rb Bose mixture by solving the Gross-Pitaevskii equation including beyond-mean-field correction in the Lee-Huang-Yang form. The…

Quantum Gases · Physics 2022-07-13 Matteo Caldara , Francesco Ancilotto

A two-dimensional dipolar Fermi gas in harmonic trap under rotation is studied by solving "ab initio" Kohn-Sham equations. The physical parameters used match those of ultracold gas of fermionic $^{23}Na^{40}K$ molecules, a prototype system…

Quantum Gases · Physics 2016-01-20 Francesco Ancilotto

We study the vortex lattices in a Bose-Einstein Condensate in a rotating anisotropic harmonic trap. We first investigate the single particle wavefunctions obtained by the exact solution of the problem and give simple expressions for these…

Condensed Matter · Physics 2009-11-10 M. O. Oktel

We study quantum vortex states of strongly interacting bosons in a two-dimensional rotating optical lattice. The system is modeled by Bose-Hubbard Hamiltonian with rotation. We consider lattices of different geometries, such as square,…

Quantum Gases · Physics 2022-02-03 Mukesh P. Khanore , Bishwajyoti Dey

The dynamics of ultralight dark matter with non-negligible self-interactions are determined by a nonlinear Schr\"odinger equation rather than by the Vlasov equation of collisionless particles. This leads to wave-like effects, such as…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-31 Philippe Brax , Patrick Valageas

Magnetic vortices and skyrmions represent two fundamental classes of topological spin textures in ferromagnetic systems, distinguished by their unique stabilization mechanisms and degrees of freedom. Vortices, characterized by circular…

Computational Physics · Physics 2025-03-21 Haobing Zhang , Xintao Fan , Weiwei Wang

We discuss the feasibility of quantum Hall states of vortices in trapped low-density two-dimensional Bose gases with large particle interactions. For interaction strengths larger than a critical dimensionless 2D coupling constant $g_c…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Uwe R. Fischer , Petr O. Fedichev , Alessio Recati

Vortices in a one-component dilute atomic ultracold Bose-Einstein condensate (BEC) usually arise as a response to externally driven rotation. Apart from a few special situations, these vortices are singly quantized with unit circulation.…

Quantum Gases · Physics 2015-06-24 Alexander L. Fetter