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We investigate phase diffusion of a two-component Bose-Einstein condensates prepared initially in arbitrary coherent spin state $|\theta_0,\phi_0\rangle$. Analytical expression of the phase-diffusion time is presented for…

Quantum Gases · Physics 2015-05-20 G. R. Jin , B. B. Wang , Y. W. Lu

Periodic potentials with flat bands in their spectra support strongly localized nonlinear excitations. Although a perfectly flat band cannot exist in a continuous system, a spin-orbit-coupled Bose-Einstein condensate loaded in a Zeeman…

Quantum Gases · Physics 2026-05-22 Chenhui Wang , Yongping Zhang , Vladimir V. Konotop

The phase separation and vortex states in two-component Bose-Einstein condensate consisting of $|F=1,m_f=-1>$ and $|2,1>$ internal spin states of $^{87}Rb$ atoms are considered in the framework of Thomas-Fermi approximation. It is shown…

Statistical Mechanics · Physics 2009-10-31 S. T. Chui , V. N. Ryzhov , E. E. Tareyeva

Using a focused laser beam we stir a Bose-Einstein condensate of 87Rb confined in a magnetic trap and observe the formation of a vortex for a stirring frequency exceeding a critical value. At larger rotation frequencies we produce states of…

Statistical Mechanics · Physics 2009-10-31 K. W. Madison , F. Chevy , W. Wohlleben , J. Dalibard

Coupled coaxially stacked toroidal condensates with persistent currents suggest an appealing physical platform for the investigation of various phenomena related to interacting superflows from Josephson effects in the regime of weak…

We study the real-time dynamics of vortex lines in a large elongated Bose-Einstein condensate (BEC) of sodium atoms using a stroboscopic technique. Vortices are spontaneously produced via the Kibble-Zurek mechanism in a quench across the…

A relaxation method is employed to study a rotating dense Bose-Einstein condensate beyond Thomas-Fermi approximation. We use a slave-boson model to describe the strongly interacting condensate and derive a generalized non-linear…

Other Condensed Matter · Physics 2008-08-07 V. P. Barros , Ch. Moseley , A. Gammal , K. Ziegler

For a Bose-Einstein condensate placed in a rotating trap, we give a simplified expression of the Gross-Pitaevskii energy in the Thomas Fermi regime, which only depends on the number and shape of the vortex lines. Then we check numerically…

Statistical Mechanics · Physics 2009-11-07 Amandine Aftalion , Tristan Riviere

The dynamics of a filled massive vortex is studied numerically and analytically using a two-dimensional model of a two-component Bose--Einstein condensate trapped in a harmonic trap. This condensate exhibits phase separation. In the…

Quantum Gases · Physics 2022-06-29 Victor P. Ruban

We show that a moving obstacle, in the form of an elongated paddle, can create vortices that are dispersed, or induce clusters of like-signed vortices in 2D Bose-Einstein condensates. We propose new statistical measures of clustering based…

Quantum Gases · Physics 2013-05-30 Angela White , Carlo Barenghi , Nick Proukakis

The dynamics of a phase-separated two-component Bose-Einstein condensate are investigated, in which a bubble of one component moves through the other component. Numerical simulations of the Gross--Pitaevskii equation reveal a variety of…

Quantum Gases · Physics 2015-05-20 Kazuki Sasaki , Naoya Suzuki , Hiroki Saito

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

This article introduces a new numerical method for the minimization under constraints of a discrete energy modeling multicomponents rotating Bose-Einstein condensates in the regime of strong confinement and with rotation. Moreover, we…

Analysis of PDEs · Mathematics 2024-04-17 Guillaume Dujardin , Ingrid Lacroix-Violet , Anthony Nahas

We propose a method for generating shock waves in Bose-Einstein condensates by rapidly increasing the value of the nonlinear coefficient using Feshbach resonances. We show that in a cigar-shaped condensate there exist primary (transverse)…

Soft Condensed Matter · Physics 2009-11-10 Victor M. Perez-Garcia , Vladimir V. Konotop , Valeryi A. Brazhnyi

We discuss a way of creating, manipulating and detecting anyons in rotating Bose-Einstein condensates consisting of a small number of atoms . By achieving a quasidegeneracy in the atomic motional states we drive the system into a…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 B. Paredes , P. Fedichev , J. I. Cirac , P. Zoller

We calculate analytically the Bogoliubov excitation spectrum of a toroidal spin-1 Bose-Einstein condensate that is subjected to a homogeneous magnetic field and contains vortices with arbitrary winding numbers in the $m_F=\pm 1$ components…

Quantum Gases · Physics 2015-06-12 H. Mäkelä , E. Lundh

We propose a protocol for the simultaneous controlled creation of multiple concentric ring dark solitons in a toroidally trapped Bose-Einstein condensate. The decay of these solitons into a vortex-antivortex necklace shows revivals of the…

Quantum Gases · Physics 2013-12-23 L. A. Toikka , O. Kärki , K. -A. Suominen

We develop a three-dimensional analysis of the phase separation of two-species Bose-Einstein condensates in the presence of vorticity within the Thomas-Fermi approximation. We find different segregation features according to whether the…

Soft Condensed Matter · Physics 2009-11-07 D. M. Jezek , P. Capuzzi , H. M. Cataldo

In a recent experiment, Kwon et. al (arXiv:1403.4658 [cond-mat.quant-gas]) generated a disordered state of quantum vortices by translating an oblate Bose-Einstein condensate past a laser-induced obstacle and studying the subsequent decay of…

Quantum Gases · Physics 2015-01-14 G. W. Stagg , A. J. Allen , N. G. Parker , C. F. Barenghi

Quantum vortices in the multi-component Bose-Einstein condensation (BEC) are investigated theoretically. It is found that three kinds of the vortex configurations are possible and their physical properties are discussed in details,…

Soft Condensed Matter · Physics 2009-10-31 Tomoya Isoshima , Kazushige Machida , Tetsuo Ohmi