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The relative stability of various axisymmetric vortices in a spinor Bose-Einstein condensate with F=1 is examined within extended Bogoliubov theory. This yields the phase diagram in the plane of external rotation frequency vs magnetization.…

Soft Condensed Matter · Physics 2009-11-07 Tomoya Isoshima , Kazushige Machida

We investigate the effect of the anisotropy of a harmonic trap on the behaviour of a fast rotating Bose-Einstein condensate. Fast rotation is reached when the rotational velocity is close to the smallest trapping frequency, thereby…

Other Condensed Matter · Physics 2009-11-13 Amandine Aftalion , Xavier Blanc , Nicolas Lerner

Extended Gross-Pitaevskii equations for the rotating F=2 condensate in a harmonic trap are solved both numerically and variationally using trial functions for each component of the wave function. Axially-symmetric vortex solutions are…

Other Condensed Matter · Physics 2009-11-11 W. V. Pogosov , R. Kawate , T. Mizushima , K. Machida

We provide an explicit way to implement non-Abelian spin-orbital-angular-momentum (SOAM) coupling in spinor Bose-Einstein condensates using magnetic gradient coupling. For a spherical surface trap addressable using high-order…

Quantum Gases · Physics 2019-07-05 Jia-Ming Cheng , Ming Gong , Guang-Can Guo , Zheng-Wei Zhou , Xiang-Fa Zhou

We report the observation of stationary turbulence in antiferromagnetic spin-1 Bose-Einstein condensates driven by a radio-frequency magnetic field. The magnetic driving injects energy into the system by spin rotation and the energy is…

Quantum Gases · Physics 2023-08-03 Deokhwa Hong , Junghoon Lee , Jongmin Kim , Jong Heum Jung , Kyuhwan Lee , Seji Kang , Yong-il Shin

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…

In this paper, we answer a question raised by Len Pitaevskii and prove that the ground state of the Gross-Pitaevskii energy describing a Bose Einstein condensate at low rotation does not have vortices in the low density region. Therefore,…

Mathematical Physics · Physics 2010-12-09 Amandine Aftalion , Robert L. Jerrard , Jimena Royo-Letelier

Static and dynamic properties of vortices in a two-component Bose-Einstein condensate with Rashba spin-orbit coupling are investigated. The mass current around a vortex core in the plane-wave phase is found to be deformed by the spin-orbit…

Quantum Gases · Physics 2017-04-12 Masaya Kato , Xiao-Fei Zhang , Hiroki Saito

We theoretically and numerically investigate the generation of fractional-charge vortex dipoles in spinor condensates with non-zero magnetization. We find that in the antiferromagnetic phase of spin-1 and spin-2 and the cyclic phase of…

Quantum Gases · Physics 2016-01-28 Sandeep Gautam

Dynamics of a vortex dipole in a spin-1 Bose-Einstein condensate in which magnetic phases are spatially distributed is investigated. When a vortex dipole travels from the ferromagnetic phase to the polar phase, or vice versa, it penetrates…

Quantum Gases · Physics 2015-06-23 Tomoya Kaneda , Hiroki Saito

Effects of fermionic zero modes (bound states in a vortex core) on the rotational dynamics of vortices with sponaneously broken axisymmetry are considered. The results are compared with the Helsinki experiments where the vortex cores were…

Superconductivity · Physics 2009-10-30 N. B. Kopnin , G. E. Volovik

We derive the frequency of precession and conditions for stability for a quantized vortex in a single-component and a two-component Bose-Einstein condensate. The frequency of precession is proportional to the gradient of the free energy…

Soft Condensed Matter · Physics 2009-10-31 S. A. McGee , M. J. Holland

In this paper we first derive a general method which enables one to create expressions for vortices and monopoles. By using this method we construct several order-parameters describing the vortices and monopoles of Bose-Einstein condensates…

Other Condensed Matter · Physics 2009-11-11 H. Mäkelä

The phase diagram of lowest-energy vortices in the polar phase of spin-1 Bose--Einstein condensates is investigated theoretically. Singly quantized vortices are categorized by the local ordered state in the vortex core and three types of…

Quantum Gases · Physics 2021-08-04 Hiromitsu Takeuchi

We revisit ground states of spinor Bose-Einstein condensates with a Rashba spin-orbit coupling, and find that votices show up as a direct consequence of spontaneous symmetry breaking into a combined gauge, spin, and space rotation symmetry,…

Quantum Gases · Physics 2013-07-17 Zhi-Fang Xu , Shingo Kobayashi , Masahito Ueda

We investigate magnetic nano-pillars, in which two thin ferromagnetic nanoparticles are separated by a nanometer thin nonmagnetic spacer and can be set into stable spin vortex-pair configurations. The 16 ground states of the vortex-pair…

Mesoscale and Nanoscale Physics · Physics 2012-09-25 S. S. Cherepov , B. C. Koop , V. Korenivski , D. C. Worledge , A. Yu. Galkin , R. S. Khymyn , B. A. Ivanov

Bose-Einstein condensates of dilute atomic gases, characterized by a macroscopic population of the quantum mechanical ground state, are a new, weakly interacting quantum fluid. In most experiments condensates in a single weak field seeking…

Statistical Mechanics · Physics 2015-06-25 J. Stenger , S. Inouye , D. M. Stamper-Kurn , H. -J. Miesner , A. P. Chikkatur , W. Ketterle

Motivated by a recent experiment, we study non-equilibrium quantum phenomena taking place in the quench of a spinor Bose-Einstein condensate through the zero-temperature phase transition separating the polar paramagnetic and planar…

Other Condensed Matter · Physics 2007-09-19 Michael Uhlmann , Ralf Schützhold , Uwe R. Fischer

We investigate energetic stability of vortices near the surface of a Bose-Einstein condensate. From an energy functional of a rotating Bose-Einstein condensate, written in terms of variables local to the surface, and a suitable trial…

Statistical Mechanics · Physics 2007-05-23 U. Al Khawaja

We numerically investigate low-energy stationary states of pseudospin-1 Bose-Einstein condensates in the presence of Rashba-Dresselhaus-type spin-orbit coupling. We show that for experimentally feasible parameters and strong spin-orbit…

Quantum Gases · Physics 2012-12-04 Emmi Ruokokoski , Jukka A. M. Huhtamäki , Mikko Möttönen