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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…

偏微分方程分析 · 数学 2014-08-29 Ayman Kachmar

A Bose-Einstein condensate (BEC) confined in a one-dimensional lattice under the effect of an external homogeneous field is described by the Gross-Pitaevskii equation. Here we prove that such an equation can be reduced, in the semiclassical…

数学物理 · 物理学 2016-04-20 Andrea Sacchetti

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…

量子气体 · 物理学 2023-03-29 Anacé N. da Silva , R. Kishor Kumar , Ashton S. Bradley , Lauro Tomio

We investigate energetic stability of vortices near the surface of a Bose-Einstein condensate. From an energy functional of a rotating Bose-Einstein condensate, written in terms of variables local to the surface, and a suitable trial…

统计力学 · 物理学 2007-05-23 U. Al Khawaja

In this work, we would like to present the Bose-Einstein Condensation in such a system where rotation is decreasing radially from the centre of the condensate. That non-uniform rotation is defined by a rotating parameter called $\lambda$.…

原子物理 · 物理学 2018-06-21 Saswata Sahu , Dwipesh Majumder

Based on the two-dimensional mean-field equations for pancake-shaped dipolar Bose-Einstein condensates in a rotating frame with both attractive and repulsive dipole-dipole interaction (DDI) as well as arbitrary polarization angle, we study…

量子气体 · 物理学 2018-08-15 Yongyong Cai , Yongjun Yuan , Matthias Rosenkranz , Han Pu , Weizhu Bao

We derive a general framework, in terms of elastic theory, for describing the distortion of the vortex lattice in a rotating Bose-Einstein condensate at arbitrary rotation speed and determining the dependence of the distortion on the…

统计力学 · 物理学 2015-06-25 Gordon Baym , C. J. Pethick , S. Andrew Gifford , Gentaro Watanabe

We study the dynamics of vortices in a Bose-Einstein condensate within a rotating four-site lattice which can be effectively described by a multimode model. Such a vortex dynamics develops along the low-density paths that separate the…

量子气体 · 物理学 2025-03-24 P. Capuzzi , D. M. Jezek

We demonstrate that the precessional frequencies of vortices in Bose Einstein condensates (BECs) are determined by a conservation law, and not by the lowest lying excitation energy mode. We determine the precessional frequency for a single…

量子气体 · 物理学 2009-10-13 B. G. Wild , D. A. W. Hutchinson

We present full three-dimensional numerical calculations of single vortex states in rotating dipolar condensates. We consider a Bose-Einstein condensate of 52Cr atoms with dipole-dipole and s-wave contact interactions confined in an axially…

量子气体 · 物理学 2009-06-24 M. Abad , M. Guilleumas , R. Mayol , M. Pi , D. M. Jezek

Vortex nucleation in a Bose-Einstein condensate subject to a stirring potential is studied numerically using the zero-temperature, two-dimensional Gross-Pitaevskii equation. It is found that this theory is able to describe the creation of…

凝聚态物理 · 物理学 2009-11-07 Emil Lundh , J. -P. Martikainen , Kalle-Antti Suominen

It has been demonstrated experimentally that non-axially symmetric vortices precess around the centre of a Bose-Einstein condensate. Two types of single vortex states have been observed, usually referred to as the S-vortex and the U-vortex.…

其他凝聚态物理 · 物理学 2009-11-11 S. Komineas , N. R. Cooper , N. Papanicolaou

We report the observation of vortex nucleation in a rotating optical lattice. A 87Rb Bose-Einstein condensate was loaded into a static two-dimensional lattice and the rotation frequency of the lattice was then increased from zero. We…

量子气体 · 物理学 2010-02-05 R. A. Williams , S. Al-Assam , C. J. Foot

We consider a 3D dilute Bose-Einstein condensate at thermal equilibrium in a rotating harmonic trap. The condensate wavefunction is a local minimum of the Gross-Pitaevskii energy functional and we determine it numerically with the very…

介观与纳米尺度物理 · 物理学 2009-11-07 Michele Modugno , Ludovic Pricoupenko , Yvan Castin

We address the challenging proposition of using real experimental parameters in a three-dimensional numerical simulation of fast rotating Bose-Einstein condensates. We simulate recent experiments [V. Bretin, S. Stock, Y. Seurin and J.…

超导电性 · 物理学 2009-11-11 Ionut Danaila

A two-component Fermi gas with attractive s-wave interactions forms a superfluid at low temperatures. When this gas is confined in a rotating trap, fermions can unpair at the edges of the gas and vortices can arise beyond certain critical…

量子气体 · 物理学 2011-08-11 Harmen J. Warringa , Armen Sedrakian

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…

量子气体 · 物理学 2020-11-03 Karmela Padavić , Kuei Sun , Courtney Lannert , Smitha Vishveshwara

We classify all possible fractional charge vortices of charge less than unity in spin-1 and spin-2 polar and cyclic Bose-Einstein condensates (BECs) with zero magnetization. Statics and dynamics of these vortices in quasi-two-dimensional…

量子气体 · 物理学 2017-11-23 Sandeep Gautam , S. K. Adhikari

We studied a rotating Bose-Einstein condensate confined in ring trap configurations that can be produced starting with a bubble trap confinement, approximated by a Mexican hat and shifted harmonic oscillator potentials. Using a variational…

量子气体 · 物理学 2024-06-18 Guilherme Tomishiyo , Lucas Madeira , Mônica A. Caracanhas

We apply the technique of reinforcement learning to the control of nonlinear matter waves. In this method, an agent controls the position, strength, and shape of an external Gaussian potential to create and manipulate quantized vortices in…

量子气体 · 物理学 2020-07-15 Hiroki Saito