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We consider a two-component immiscible Bose-Einstein condensate with dominating intra-species repulsive density-density interactions. In the ground-state phase of such a system only one condensates is present. This can be viewed as a…

Quantum Gases · Physics 2015-03-20 Peder N. Galteland , Egor Babaev , Asle Sudbø

We have theoretically investigated the structure of spinning self-bound droplets made of $^{41}$K-$^{87}$Rb Bose mixture by solving the Gross-Pitaevskii equation including beyond-mean-field correction in the Lee-Huang-Yang form. The…

Quantum Gases · Physics 2022-07-13 Matteo Caldara , Francesco Ancilotto

We consider a Bose-Einstein condensate confined in a ``Mexican hat'' potential, with a quartic minus quadratic radial dependence. We find conditions under which the ground state is annular in shape, with a hole in the center of the…

Other Condensed Matter · Physics 2009-11-11 M. Cozzini , B. Jackson , S. Stringari

We observe interlaced square vortex lattices in rotating two-component dilute-gas Bose-Einstein condensates (BEC). After preparing a hexagonal vortex lattice in a single-component BEC in an internal state $|1>$ of $^{87}$Rb atoms, we…

Other Condensed Matter · Physics 2009-11-10 V. Schweikhard , I. Coddington , P. Engels , S. Tung , E. A. Cornell

We investigate the lowest state of a rotating, weakly-interacting Bose-Einstein condensate trapped in a harmonic confining potential that is driven by an infinitesimally asymmetric perturbation. Although in an axially-symmetric confining…

Condensed Matter · Physics 2009-11-07 G. M. Kavoulakis

Using the time-dependent mean-field Gross-Pitaevskii equation we study the dynamics of small repulsive Bose-Einstein condensed vortex states of ^{85}Rb atoms in a cylindrical trap with low angular momentum hbar L per atom (L <= 6), when the…

Soft Condensed Matter · Physics 2009-11-07 Sadhan K. Adhikari

Quantum droplets may form out of a gaseous Bose-Einstein condensate, stabilized by quantum fluctuations beyond mean field. We show that multiple singly-quantized vortices may form in these droplets at moderate angular momenta in two…

Quantum Gases · Physics 2019-10-23 M. Nilsson Tengstrand , P. Stürmer , E. Karabulut , S. M. Reimann

Theoretical study is presented for a spinor Bose-Einstein condensate, whose two components are coupled by copropagating Raman beams with different orbital angular momenta. The investigation is focused on the behavior of the ground state of…

Quantum Gases · Physics 2021-01-04 Y. Duan , Y. M. Bidasyuk , A. Surzhykov

The state of a rotating Bose-Einstein condensate in a harmonic trap is modeled by a wave function that minimizes the Gross-Pitaevskii functional. The resulting minimization problem has two new features compared to other similar functionals…

Analysis of PDEs · Mathematics 2014-08-29 Ayman Kachmar

We study continuous interaction of a trapped two-component Bose-Einstein condensate with light fields in a $\Lambda$-type configuration. Using light beams with orbital angular momentum, we theoretically show how to create a stable, pinned…

Quantum Gases · Physics 2025-09-15 Y. Braver , D. Burba , S. S. Nair , G. Žlabys , E. Anisimovas , Th. Busch , G. Juzeliūnas

We derive the frequency of precession and conditions for stability for a quantized vortex in a single-component and a two-component Bose-Einstein condensate. The frequency of precession is proportional to the gradient of the free energy…

Soft Condensed Matter · Physics 2009-10-31 S. A. McGee , M. J. Holland

Shell-shaped hollow Bose-Einstein condensates (BECs) exhibit behavior distinct from their filled counterparts and have recently attracted attention due to their potential realization in microgravity settings. Here we study distinct features…

Quantum Gases · Physics 2020-11-03 Karmela Padavić , Kuei Sun , Courtney Lannert , Smitha Vishveshwara

A two-dimensional rapidly rotating Bose-Einstein condensate in a harmonic plus quartic trap is expected to have unusual vortex states that do not occur in a pure harmonic trap. At a critical rotation speed $\Omega_h$, a central hole appears…

Other Condensed Matter · Physics 2009-11-11 Jong-kwan Kim , Alexander L. Fetter

The vortex density of a rotating superfluid, divided by its particle mass, dictates the superfluid's angular velocity through the Feynman relation. To find how the Feynman relation applies to superfluid mixtures, we investigate a rotating…

Strongly Correlated Electrons · Physics 2009-11-13 Ryan Barnett , Gil Refael , Mason A. Porter , Hans Peter Buchler

We review the theory of vortices in trapped dilute Bose-Einstein condensates and compare theoretical predictions with existing experiments. Mean-field theory based on the time-dependent Gross-Pitaevskii equation describes the main features…

Statistical Mechanics · Physics 2009-11-07 Alexander Fetter , Anatoly Svidzinsky

In this short review we present our recent results concerning the rotation of atomic Bose-Einstein condensates confined in quadratic or quartic potentials, and give an overview of the field. We first describe the procedure used to set an…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sabine Stock , Baptiste Battelier , Vincent Bretin , Zoran Hadzibabic , Jean Dalibard

The dynamical vortex production, with a trap-confining time-dependent stirred potential, is studied by using mass-imbalanced cold-atom coupled Bose-Einstein condensates (BEC). The vortex formation is explored by considering that both…

Quantum Gases · Physics 2023-03-29 Anacé N. da Silva , R. Kishor Kumar , Ashton S. Bradley , Lauro Tomio

I use a time-dependent Lagrangian formalism and a variational trial function to study the dynamics of a two-component vortex in a spin-orbit coupled Bose-Einstein condensate (BEC). For a single-component BEC, various experiments have…

Quantum Gases · Physics 2014-02-25 Alexander L. Fetter

We examine an effectively repulsive Bose-Einstein condensate of atoms, that rotates in a quadratic-plus-quartic trapping potential. We investigate the phase diagram of the system as a function of the angular frequency of rotation and of the…

Statistical Mechanics · Physics 2015-06-24 A. D. Jackson , G. M. Kavoulakis

We investigate the groundstates of weakly interacting bosons in a rotating trap as a function of the number of bosons, $N$, and the average number of vortices, $N_V$. We identify the filling fraction $\nu\equiv N/N_V$ as the parameter…

Condensed Matter · Physics 2009-11-07 N. R. Cooper , N. K. Wilkin , J. M. F. Gunn