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An infinite triangular lattice of classical dipolar spins is usually considered to have a ferromagnetic ground state. We examine the validity of this statement for finite lattices and in the limit of large lattices. We find that the ground…

Statistical Mechanics · Physics 2007-05-23 Paolo Politi , Maria Gloria Pini , R. L. Stamps

I show the existence of a new type of vortex solution which is non-static but stationary and carries angular momentum. This {\it spinning vortex} can be embedded in models with trivial vacuum topology like a model with $SU(2)_{global}\times…

High Energy Physics - Phenomenology · Physics 2009-09-25 Leandros Perivolaropoulos

We consider a spinor condensate of 87Rb atoms in its F=1 hyperfine state at finite temperatures. Putting initially all atoms in m_F=0 component we find that the system evolves into the state of thermal equilibrium. This state is approached…

Other Condensed Matter · Physics 2007-07-31 Krzysztof Gawryluk , Miroslaw Brewczyk , Mariusz Gajda , Kazimierz Rzazewski

We study rotational motion of an interacting atomic Bose-Einstein condensate confined in a quadratic-plus-quartic potential. We calculate the lowest energy surface mode frequency and show that a symmetric trapped (harmonic and quartic)…

Soft Condensed Matter · Physics 2007-05-23 Tarun Kanti Ghosh

We study the generation of vortices in rotating Bose--Einstein condensates, a situation which has been realized in a recent experiment (K. W. Madison, F. Chevy, W. Wohlleben, J. Dalibard, Phys. Rev. Lett. {\bf 84} 806 (2000)). By combining…

Condensed Matter · Physics 2007-05-23 Juan J. Garcia-Ripoll , Victor M. Perez-Garcia

We study the dynamics of small vortex clusters with few (2--4) co-rotating vortices in Bose-Einstein condensates by means of experiments, numerical computations, and theoretical analysis. All of these approaches corroborate the…

We study a system of penetrable bosons embedded in a spherical surface. Under the assumption of weak interaction between the particles, the ground state of the system is, to a good approximation, a pure condensate. We employ thermodynamic…

Quantum Gases · Physics 2019-06-24 Santi Prestipino , Paolo V. Giaquinta

To verify the exact underlying mechanism of ultrafast vortex-core reversal as well as the vortex state stability we conducted numerical calculations of the dynamic evolution of magnetic vortices in Permalloy cylindrical nanodots under an…

Materials Science · Physics 2007-11-20 Ki-Suk Lee , Konstantin Y. Guslienko , Jun-Young Lee , Sang-Koog Kim

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

In planar structures, the vortex resonance frequency changes little as a function of an in-plane magnetic field as long as the vortex state persists. Altering the topography of the element leads to a vastly different dynamic response that…

We study ground states of two-dimensional Bose-Einstein condensates with repulsive ($a>0$) or attractive ($a<0$) interactions in a trap $V (x)$ rotating at the velocity $\Omega $. It is known that there exist critical parameters $a^*>0$ and…

Analysis of PDEs · Mathematics 2021-06-29 Yujin Guo , Yong Luo , Shuangjie Peng

We investigate the stability of a hard-axis polar state in a spin-1 antiferromagnetic Bose-Einstein condensate under a magnetic field gradient, where the easy-plane spin anisotropy is controlled by a negative quadratic Zeeman energy $q<0$.…

Quantum Gases · Physics 2019-02-28 Joon Hyun Kim , Deokhwa Hong , Seji Kang , Yong-il Shin

A method to produce a spin-dependent rotating potential using near-resonant circularly polarized laser beams is proposed. It is shown that half-quantum vortices are nucleated in a spinor Bose-Einstein condensate with an antiferromagnetic…

Other Condensed Matter · Physics 2009-12-02 Hiroki Chiba , Hiroki Saito

We classify the ground states and topological defects of a rotating two-component condensate when varying several parameters: the intracomponent coupling strengths, the intercomponent coupling strength and the particle numbers.No…

Quantum Gases · Physics 2011-10-26 Peter Mason , Amandine Aftalion

We systematically investigate the ground state and elementary excitations of a Bose-Einstein Condensate with a synthetic vector potential, which is induced by the many-body effects and atom-light coupling. For a sufficiently strong…

Quantum Gases · Physics 2015-07-08 Jun-hui Zheng , Bo Xiong , G. Juzeliunas , Daw-Wei Wang

We examine the combined effects of Rashba spin-orbit (SO) coupling and rotation on trapped spinor Bose-Einstein condensates (BECs). Nature of single particle states is thoroughly examined in the Landau level basis and is shown to support…

Quantum Gases · Physics 2011-11-22 Xiao-Qiang Xu , Jung Hoon Han

Micromagnetic simulations are used to study a spin-torque vortex oscillator excited by an out-of-plane dc current. The vortex core gyration amplitude is confined between two orbits due to periodical vortex core polarity reversals. The upper…

Mesoscale and Nanoscale Physics · Physics 2024-12-31 Chloé Chopin , Simon de Wergifosse , Anatole Moureaux , Flavio Abreu Araujo

We experimentally study the dynamics of quantum knots in a uniform magnetic field in spin-1 Bose-Einstein condensates. The knot is created in the polar magnetic phase, which rapidly undergoes a transition towards the ferromagnetic phase in…

Quantum Gases · Physics 2019-10-18 T. Ollikainen , A. Blinova , M. Möttönen , D. S. Hall

We consider the ground-state properties of the two-component spin-orbit coupled ultracold bosons subject to a rotationally symmetric in-plane gradient magnetic field. In the non-interacting case, the ground state supports giant-vortices…

Quantum Gases · Physics 2015-06-23 Xiang-Fa Zhou , Zheng-Wei Zhou , Congjun Wu , Guang-Can Guo

When Bose-Eintein condensates are rotated sufficiently fast, a giant vortex phase appears, that is the condensate becomes annular with no vortices in the bulk but a macroscopic phase circulation around the central hole. In a former paper…

Mathematical Physics · Physics 2015-05-19 Nicolas Rougerie