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We systematically construct stationary soliton states in a one-component, two-dimensional, repulsive, Gross-Pitaevskii equation with a ring-shaped target-like trap similar to the potential used to confine a Bose-Einstein condensate in a…

Quantum Gases · Physics 2019-06-05 M. Haberichter , P. G. Kevrekidis , R. Carretero-Gonzalez , M. Edwards

In this article, we review the research on the dynamics of quantized vortices in superfluid helium and rotating Bose-Einstein condensates. First, after briefly reviewing the earlier research and describing the current problems on quantized…

Condensed Matter · Physics 2007-05-23 Makoto Tsubota , Kenichi Kasamatsu , Tsunehiko Araki

We report observations of vortex formation as a result of merging together multiple $^{87}$Rb Bose-Einstein condensates (BECs) in a confining potential. In this experiment, a trapping potential is partitioned into three sections by a…

Other Condensed Matter · Physics 2015-06-25 David R. Scherer , Chad N. Weiler , Tyler W. Neely , Brian P. Anderson

The dynamical behavior of Bose-Einstein condensation (BEC) in a gas with attractive interactions is striking. Quantum theory predicts that BEC of a spatially homogeneous gas with attractive interactions is precluded by a conventional phase…

Condensed Matter · Physics 2009-10-31 Jordan M. Gerton , Dmitry Strekalov , Ionut Prodan , Randall G. Hulet

We explore the dynamical stabilities of a quasi-one dimensional (1D) Bose-Einstein condensate (BEC) consisting of fixed $N$ atoms with time-independent external potential. For the stationary states with zero flow density the general…

Quantum Physics · Physics 2009-11-13 Wenhua Hai , Guishu Chong , Jianwen Song

We describe a wavefunction engineering approach to the formation of textures in a two-component nonrotated Bose-Einstein condensate. By controlling the phases of wavepackets that combine in a three-wave interference process, a…

Quantum Gases · Physics 2015-05-19 Gary Ruben , Michael J. Morgan , David M. Paganin

In this work we use standard Hamiltonian-system techniques in order to study the dynamics of three vortices with alternating charges in a confined Bose-Einstein condensate. In addition to being motivated by recent experiments, this system…

Chaotic Dynamics · Physics 2015-06-17 Vassilis Koukouloyannis , George Voyatzis , Panayotis G. Kevrekidis

We consider the intrinsic stability of the vortex states of a pure Bose-Einstein condensate confined in a harmonic potential under the effects of coherent atom-atom interaction. We find that stable vortices can be supported, and that vortex…

Statistical Mechanics · Physics 2012-01-25 H. Pu , C. K. Law , J. H. Eberly , N. P. Bigelow

In this paper we study a gaseous Bose-Einstein condensate (BEC) and show that: (i) A minimum value of the interaction is needed for the existence of stable persistent currents. (ii) Vorticity is not a fundamental invariant of the system, as…

Soft Condensed Matter · Physics 2007-05-23 Juan J. Garcia-Ripoll , Gabriel Molina-Terriza , Victor M. Perez-Garcia , Lluis Torner

We discuss the mean-field approximation for a trapped weakly-interacting Bose-Einstein condensate (BEC) and its connection with the exact many-body problem by deriving the Gross-Pitaevskii action of the condensate. The mechanics of the BEC…

Statistical Mechanics · Physics 2009-10-31 Luca Salasnich

We numerically study the vortex-vortex interaction in multi-component homogeneous Bose-Einstein condensates within the realm of the Gross-Pitaevskii theory. We provide strong evidences that pairwise vortex interaction captures the…

We investigate two-dimensional turbulence in finite-temperature trapped Bose-Einstein condensates within damped Gross-Pitaevskii theory. Turbulence is produced via circular motion of a Gaussian potential barrier stirring the condensate. We…

Quantum Gases · Physics 2012-11-27 M. T. Reeves , B. P. Anderson , A. S. Bradley

Rotational Bose-Einstein condensates can exhibit quantized vortices as topological excitations. In this study, the ground and excited states of the rotational Bose-Einstein condensates are systematically studied by calculating the…

Quantum Gases · Physics 2023-12-05 Jianyuan Yin , Zhen Huang , Yongyong Cai , Qiang Du , Lei Zhang

In this work, we would like to present the Bose-Einstein Condensation in such a system where rotation is decreasing radially from the centre of the condensate. That non-uniform rotation is defined by a rotating parameter called $\lambda$.…

Atomic Physics · Physics 2018-06-21 Saswata Sahu , Dwipesh Majumder

We study modulational instability of matter-waves in Bose-Einstein condensates (BEC) under strong temporal nonlinearity-management. Both BEC in an optical lattice and homogeneous BEC are considered in the framework of the Gross-Pitaevskii…

Other Condensed Matter · Physics 2008-12-15 F. Kh. Abdullaev , A. A. Abdumalikov , R. M. Galimzyanov

Cooperative ring-exchange is suggested as a mechanism of quantum melting of vortex lattices in a rapidly-rotating quasi two dimensional atomic Bose-Einstein condensate (BEC). Using an approach pioneered by Kivelson et al. [Phys. Rev. Lett.…

Condensed Matter · Physics 2009-11-07 Tarun Kanti Ghosh , G. Baskaran

The dynamics of vortex solitons in a BEC superfluid is studied. A quantum lattice-gas algorithm (localization-based quantum computation) is employed to examine the dynamical behavior of vortex soliton solutions of the Gross-Pitaevskii…

Quantum Gases · Physics 2009-05-07 Jeffrey Yepez , George Vahala , Linda Vahala

We propose a different type of Landau instability in trapped Bose-Einstein condensates by a helically moving environment. In the presence of quantized vortices, the instability can cause spontaneous radiation and amplification of Kelvin…

Other Condensed Matter · Physics 2010-11-29 Hiromitsu Takeuchi , Kenichi Kasamatsu , Makoto Tsubota

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

Bose-Einstein condensates of dilute gases are well-suited for investigations of vortex dynamics and turbulence in quantum fluids, yet there has been little experimental research into the approaches that may be most promising for generating…

Quantum Gases · Physics 2017-08-23 K. E. Wilson , E. C. Samson , Z. L. Newman , T. W. Neely , B. P. Anderson