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We study the formation of vortices in a Bose-Einstein condensate (BEC) that has been prepared by allowing isolated and independent condensed fragments to merge together. We focus on the experimental setup of Scherer {\it et al.} [Phys. Rev.…

Other Condensed Matter · Physics 2010-12-10 R. Carretero-Gonzalez , B. P. Anderson , P. G. Kevrekidis , D. J. Frantzeskakis , C. N. Weiler

The coherent flow of a Bose-Einstein condensate through a quantum dot in a magnetic waveguide is studied. By the numerical integration of the time-dependent Gross-Pitaevskii equation in presence of a source term, we simulate the propagation…

Other Condensed Matter · Physics 2009-11-10 Tobias Paul , Klaus Richter , Peter Schlagheck

A generic class of scalar active matter, characterized at the mean field level by the diffusivity vanishing above some threshold density, was recently introduced [Golestanian R 2019 Phys. Rev. E 100 010601(R)]. In the presence of harmonic…

Statistical Mechanics · Physics 2020-08-26 Benoît Mahault , Ramin Golestanian

It is investigated theoretically that magnetized Bose-Einstein condensation (BEC) with the internal (spin) degrees of freedom exhibits a rich variety of phase transitions, depending on the sign of the interaction in the spin channel. In the…

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

We show that the Gross-Pitaevskii equation with cubic nonlinearity, as a model to describe the one dimensional Bose-Einstein condensates loaded into a harmonically confined optical lattice, presents a set of ground states which is orbitally…

Analysis of PDEs · Mathematics 2015-05-28 Rolci Cipolatti , Juan López Gondar , Carlos Trallero-Giner

Feschbach resonances in a non-s-wave channel of two-component bosonic mixtures can induce atomic Bose Einstein condensates with a non-zero orbital momentum in the optical lattice, if one component is in the Mott insulator state and the…

Other Condensed Matter · Physics 2009-11-11 A. B. Kuklov

We examine the collective scattering of a superfluid droplet impinging on a mesoscopic Bose-Einstein condensate (BEC) as a target. The BEC consists of an atomic gas with two internal electronic states, each of which is trapped by a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. Grupp , G. Nandi , R. Walser , W. P. Schleich

This chapter presents an overview of the properties of a Bose-Einstein condensate (BEC) trapped in a periodic potential. This system has attracted a wide interest in the last years, and a few excellent reviews of the field have already…

Statistical Mechanics · Physics 2015-05-13 A. Smerzi , A. Trombettoni

We propose generating long-range and nonreciprocal three-body interactions in quantum gases via optical feedback. By placing a quasi-two-dimensional Bose-Einstein condensate (BEC) in front of two reflecting mirrors and illuminating it with…

Quantum Gases · Physics 2025-05-28 Yi-Qing Zhang , Liang-Jun He , Han Pu , Zheng-Wei Zhou , Yong-Chang Zhang

Due to its coherence properties and high optical depth, a Bose-Einstein condensate provides an ideal setting to investigate collective atom-light interactions. Superradiant light scattering in a Bose-Einstein condensate is a fascinating…

Quantum Physics · Physics 2016-08-02 J. H. Müller , D. Witthaut , R. le Targat , J. J. Arlt , E. S. Polzik , A. J. Hilliard

The aim of the present review is to introduce the reader to some of the physical notions and of the mathematical methods that are relevant to the study of nonlinear waves in Bose-Einstein Condensates (BECs). Upon introducing the general…

Other Condensed Matter · Physics 2010-12-10 R. Carretero-Gonzalez , D. J. Frantzeskakis , P. G. Kevrekidis

We consider a mixture of two distinct species of atoms of pseudospin-1/2 with both intraspecies and Interspecies spin-exchange interactions, and find all the ground stats in a general case of the parameters in the effective Hamiltonian. In…

Quantum Gases · Physics 2011-03-08 Jinglong Wang , Yu Shi

We observe solitonic vortices in an atomic Bose-Einstein condensate after free expansion. Clear signatures of the nature of such defects are the twisted planar density depletion around the vortex line, observed in absorption images, and the…

We investigate the dynamical instability of Bose-Einstein condensates (BECs) with higher-order interactions immersed in an optical lattice with weak driving harmonic potential. For this, we compute both analytically and numerically a…

Pattern Formation and Solitons · Physics 2015-06-19 E. Wamba , S. Sabari , K. Porsezian , A. Mohamadou , T. C. Kofané

We develop a self-consistent, Gravitoelectromagnetic (GEM) formulation of a slowly rotating, self-gravitating and dilute Bose-Einstein condensate (BEC), intended for astrophysical applications in the context of dark matter halos. GEM…

Astrophysics of Galaxies · Physics 2018-06-06 Souvik Sarkar , Cenalo Vaz , L. C. R. Wijewardhana

A theory determining the electric and magnetic properties of vortex states in Bose-Einstein condensates (BECs) is presented. The principal ingredient is the Lagrangian of the system which we derive correct to the first order in the atomic…

Quantum Physics · Physics 2009-11-07 L G Boussiakou , C R Bennett , M Babiker

We introduce a novel, non-invasive imaging technique based on spin-dependent off-axis holography (SOAH) for spin-1 Bose-Einstein condensates (BECs). Utilizing a dual reference beam strategy, this method records two orthogonal circular…

Quantum Gases · Physics 2024-05-17 Nejc Blaznik , Jasper Smits , Marc Duran Gutierrez , Peter van der Straten

We investigate the dynamics of rotating pseudo-spin-1/2 Bose-Einstein condensates (BECs) with Rashba spin-orbit coupling (SOC) in a quasicrystalline optical lattice (QOL). For given parameters, the system evolves from an initial…

Quantum Gases · Physics 2021-07-06 Qingbo Wang , Jinguo Hu , Xianghua Su , Linghua Wen

We consider the nonlinear scattering and transmission of an atom laser, or Bose-Einstein condensate (BEC) on a finite rectangular potential barrier. The nonlinearity inherent in this problem leads to several new physical features beyond the…

Quantum Gases · Physics 2015-05-05 Lincoln D. Carr , Rachel R. Miller , Daniel R. Bolton , Scott A. Strong

By numerical simulation of the time-dependent Gross-Pitaevskii equation we show that a weakly interacting or noninteracting Bose-Einstein condensate (BEC) vortex can be localized in a three-dimensional bichromatic quasi-periodic…

Quantum Gases · Physics 2015-05-18 S. K. Adhikari