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We show that the breathing mode of a rapidly-rotating, harmonically-trapped Bose-Einstein condensate may be described by a generalized lowest Landau level (LLL) wave function, in which the oscillator length is treated as a variable. Using…

Other Condensed Matter · Physics 2007-05-23 Gentaro Watanabe

Motivated by a recent experiment [L.Chomaz et al., Nature Physics 14, 442 (2018)], we perform numerical simulations of a dipolar Bose-Einstein Condensate (BEC) in a tubular confinement at T=0 within Density Functional Theory, where the…

Quantum Gases · Physics 2019-04-10 Santo Maria Roccuzzo , Francesco Ancilotto

It is demonstrated that stable, standing dark solitons can be created in current dilute-gas Bose-Einstein condensate experiments by the proper combination of phase and density engineering. Other combinations result in a widely controllable…

Condensed Matter · Physics 2009-10-31 L. D. Carr , J. Brand , S. Burger , A. Sanpera

We investigate the stability and nonlinear dynamics of dark-bright solitons in a one-dimensional binary Bose-Einstein condensate subjected to synthetic spin-orbit and Rabi couplings. In the absence of spin-orbit coupling, we map the coupled…

Quantum Gases · Physics 2026-05-07 K. Rajaswathi , R. Ravisankar , R. Radha , P. K. Mishra , P. Muruganandam

Recent experiments have revealed the formation of stable droplets in dipolar Bose-Einstein condensates. This surprising result has been explained by the stabilization given by quantum fluctuations. We study in detail the properties of a BEC…

Quantum Gases · Physics 2016-10-19 F. Wächtler , L. Santos

The dynamics of a dark soliton in an elongated Bose-Einstein condensate at finite temperatures is studied using numerical simulations. We find that in the presence of harmonic confinement the soliton may oscillate even at finite…

Statistical Mechanics · Physics 2009-11-11 B. Jackson , N. P. Proukakis , C. F. Barenghi

We investigate the dynamics and modulation of ring dark soliton in 2D Bose-Einstein condensates with tunable interaction both analytically and numerically. The analytic solutions of ring dark soliton are derived by using a new…

Other Condensed Matter · Physics 2009-11-13 Xing-Hua Hu , Xiao-Fei Zhang , Dun Zhao , Hong-Gang Luo , W. M. Liu

Performing a systematic Bogoliubov-de Gennes spectral analysis, we illustrate that stationary vortex lines, vortex rings and more exotic states, such as hopfions, are robust in three-dimensional atomic Bose-Einstein condensates, for large…

The onset of pattern formation in a spatially homogeneous system subjected to external driving is an important topic in various scientific fields. A celebrated classical example is the Faraday instability, where a vertically oscillated…

We consider two-dimensional spin-orbit coupled atomic Bose-Einstein condensate in a radially-periodic potential. The system supports different types of stable self-sustained states including radially-symmetric vorticity-carrying modes with…

Quantum Gases · Physics 2019-03-28 Yaroslav V. Kartashov , Dmitry A. Zezyulin

We consider dynamical stabilization of Bose-Einstein condensates (BEC) by time-dependent modulation of the scattering length. The problem has been studied before by several methods: Gaussian variational approximation, the method of moments,…

Other Condensed Matter · Physics 2013-05-29 Alexander Itin , Shinichi Watanabe , Toru Morishita

In this work, we study pancake-shaped Bose-Einstein condensates confined by both a cylindrically symmetric harmonic potential and an optical lattice with equal periodicity in two orthogonal directions. We first identify the spectrum of the…

Pattern Formation and Solitons · Physics 2012-05-30 K. J. H. Law , P. G. Kevrekidis , B. P. Anderson , R. Carretero-Gonzalez , D. J. Frantzeskakis

We examine the stability and dynamics of a family of crossed dark solitons in a harmonically confined Bose-Einstein condensate in two dimensions. Working in a regime where the fundamental snake instability is suppressed, we show the…

Quantum Gases · Physics 2014-02-04 T. Morgan , Th. Busch

We present spatially localized nonrotating and rotating (azimuthon) multisolitons in the two-dimensional (2D) ("pancake-shaped configuration") Bose-Einstein condensate (BEC) with attractive interaction. By means of a linear stability…

Pattern Formation and Solitons · Physics 2009-11-13 Volodymyr M. Lashkin

We experimentally generate two-dimensional Jones-Roberts solitons in a three-dimensional atomic Bose-Einstein condensate by imprinting a triangular phase pattern. By monitoring their dynamics we observe that this kind of solitary waves are…

We derive the dynamic and thermodynamic stability conditions for dilute multicomponent Bose-Einstein condensates (BECs). These stability conditions, generalized for $n$-component BECs, are found to be equivalent and are shown to be…

Other Condensed Matter · Physics 2009-11-11 David C. Roberts , Masahito Ueda

We present a widely accessible and experimentally realizable technique for the controlled creation of dark-bright solitons and soliton lattices in atomic Bose-Einstein condensates. The method is based on preparing the condensate in a dark…

Quantum Gases · Physics 2026-04-02 Y. Braver , D. Burba , Th. Busch , G. Juzeliūnas , P. G. Kevrekidis

We investigate the properties of discrete breathers in a Bose-Einstein condensate with two- and three-body interactions in optical lattice. In the tight-binding approximation the Gross-Pitaevskii equation with periodic potential for the…

Other Condensed Matter · Physics 2007-05-23 F. Kh. Abdullaev , A. Bouketir , A. Messikh , B. A. Umarov

We study the matter-wave solitons in Bose-Einstein condensate (BEC) trapped on a M\"{o}bius strip (MS), based on the respective Gross-Pitaevskii (GP) equation with the mean-field theory. In the linear regime, vortex states are characterized…

Pattern Formation and Solitons · Physics 2025-02-14 Huan-Bo Luo , Guilong Li , Fu-Quan Dou , Bin Liu , Boris A. Malomed , Josep Batle , Yongyao Li

We have studied the dynamic evolution of the collective excitations in Bose-Einstein condensates in a deep optical lattice with tunable three-body interactions. Their dynamics is governed by a high order discrete nonlinear Schrodinger…

Quantum Gases · Physics 2015-06-23 Galal Ahmed Alakhaly , Bishwajyoti Dey