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Vortices are expected to exist in a supersolid but experimentally their detection can be difficult because the vortex cores are localized at positions where the local density is very low. We address here this problem by performing numerical…

Quantum Gases · Physics 2021-07-15 Francesco Ancilotto , Manuel Barranco , Marti Pi , Luciano Reatto

Vortex is a topological defect with a quantized winding number of the phase in superfluids and superconductors. Here, we investigate the crystallized (triangular, square, honeycomb) and amorphous vortices in rotating atomic-molecular…

Quantum Gases · Physics 2015-02-03 Chao-Fei Liu , Heng Fan , Shih-Chuan Gou , Wu-Ming Liu

This study aims to research on dynamics of two quantized vortices in miscible two-component Bose--Einstein condensates, trapped by a circular box potential by using the Gross--Pitaevskii equation. We consider a situation in which two…

Quantum Gases · Physics 2022-01-26 Junsik Han , Kenichi Kasamatsu , Makoto Tsubota

We theoretically examine the vortex states of a gas of trapped quasi-two-dimensional ultracold bosons subject to a density-dependent gauge potential, realizing an effective nonlinear rotation of the atomic condensate, which we also show is…

Quantum Gases · Physics 2020-10-28 Matthew Edmonds , Muneto Nitta

Shell-shaped hollow Bose-Einstein condensates (BECs) exhibit behavior distinct from their filled counterparts and have recently attracted attention due to their potential realization in microgravity settings. Here we study distinct features…

Quantum Gases · Physics 2020-11-03 Karmela Padavić , Kuei Sun , Courtney Lannert , Smitha Vishveshwara

We investigate vortex states of immiscible two-component Bose-Einstein condensates under rotation through numerical simulations of the coupled Gross-Pitaevskii equations. For strong intercomponent repulsion, the two components undergo phase…

Other Condensed Matter · Physics 2009-11-13 Kenichi Kasamatsu , Makoto Tsubota

We study the interaction and dynamics of two half-quantized vortices in two-component Bose- Einstein condensates. Using the Pade approximation for the vortex core profile, we calculate the intervortex potential, whose asymptotic form for a…

Quantum Gases · Physics 2016-01-26 Kenichi Kasamatsu , Minoru Eto , Muneto Nitta

With use of the nonlinear Schr{\"o}dinger (or Gross-Pitaevskii) equation with strong repulsive cubic nonlinearity, dynamics of multi-component Bose-Einstein condensates (BECs) with a harmonic trap in 2 dimensions is investigated beyond the…

In the present work, we explore the existence, stability and dynamics of single and multiple vortex ring states that can arise in Bose-Einstein condensates. Earlier works have illustrated the bifurcation of such states, in the vicinity of…

Pattern Formation and Solitons · Physics 2017-05-03 Wenlong Wang , R. N. Bisset , C. Ticknor , R. Carretero-Gonzalez , D. J. Frantzeskakis , L. A. Collins , P. G. Kevrekidis

In this work we perform a numerical study of a rotating, harmonically trapped, Bose-Einstein condensate of microcavity polaritons. An efficient numerical method (toolbox) to solve the complex Gross-Pitaevskii equation is developed. Using…

Quantum Gases · Physics 2015-05-12 Bikash Padhi , Romain Duboscq , Ankita Niranjan , Ravi K. Soni

We calculate the critical rotation frequency at which a vortex state becomes energetically favorable over the vortex-free ground state in a harmonically trapped Bose-Einstein condensate whose atoms have dipole-dipole interactions as well as…

Other Condensed Matter · Physics 2007-05-23 Duncan H. J. O'Dell , Claudia Eberlein

It is well-known that a rotating Bose-Einstein condensate forms vortices to carry the angular momentum. For a first vortex to nucleate at the trap center, the rotational frequency must become larger than a certain critical value. The vortex…

Quantum Gases · Physics 2020-01-08 G. Eriksson , J. Bengtsson , G. M. Kavoulakis , S. M. Reimann

It has been demonstrated experimentally that non-axially symmetric vortices precess around the centre of a Bose-Einstein condensate. Two types of single vortex states have been observed, usually referred to as the S-vortex and the U-vortex.…

Other Condensed Matter · Physics 2009-11-11 S. Komineas , N. R. Cooper , N. Papanicolaou

We study vortex dynamics in trapped two-component Bose-Einstein condensates with a laser- induced spin-orbit coupling using the numerical analysis of the Gross-Pitaevskii equation. The spin-orbit coupling leads to three distinct ground…

Quantum Gases · Physics 2015-12-09 Kenichi Kasamatsu

Counter-rotating vortices in miscible two-component Bose-Einstein condensates, in which superflows counter-rotate between the two components around the overlapped vortex cores, are studied theoretically in a pancake-shaped potential. In a…

Quantum Gases · Physics 2013-12-16 Shungo Ishino , Makoto Tsubota , Hiromitsu Takeuchi

Motivated by experiments in atomic Bose-Einstein condensates (BECs), we compare predictions of a system of ordinary differential equations (ODE) for dynamics of one and two individual vortices in the rotating BECs with those of the partial…

Pattern Formation and Solitons · Physics 2018-02-07 P. G. Kevrekidis , D. E. Pelinovsky

Vortex states of weakly-interacting Bose-Einstein condensates confined in three-dimensional rotating harmonic traps are investigated numerically at zero temperature. The ground state in the rotating frame is obtained by propagating the…

Statistical Mechanics · Physics 2009-10-31 David L. Feder , Charles W. Clark , Barry I. Schneider

We study the energetic and dynamic stability of coreless vortices in nonrotated spin-1 Bose-Einstein condensates, trapped with a three-dimensional optical potential and a Ioffe-Pritchard field. The stability of stationary vortex states is…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 V. Pietila , M. Mottonen , S. M. M. Virtanen

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 study the normal modes of a two-dimensional rotating Bose-Einstein condensate confined in a quadratic plus quartic trap. Hydrodynamic theory and sum rules are used to derive analytical predictions for the collective frequencies in the…

Statistical Mechanics · Physics 2009-11-10 M. Cozzini , A. L. Fetter , B. Jackson , S. Stringari