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After reviewing the ideal Bose-Einstein gas in a box and in a harmonic trap, I discuss the effect of interactions on the formation of a Bose-Einstein condensate (BEC), along with the dynamics of small-amplitude perturbations (the Bogoliubov…

统计力学 · 物理学 2015-05-13 Alexander L. Fetter

We investigate a simple model for a galactic halo under the assumption that it is dominated by a dark matter component in the form of a Bose-Einstein condensate involving an ultra-light scalar particle. In particular we discuss the…

宇宙学与河外天体物理 · 物理学 2022-09-16 Mark N Brook , Peter Coles

We study the Gross-Pitaevskii (GP) energy functional for a fast rotating Bose-Einstein condensate on the unit disc in two dimensions. Writing the coupling parameter as $ 1 / \eps^2 $ we consider the asymptotic regime $ \eps \to 0 $ with the…

数学物理 · 物理学 2015-03-17 M. Correggi , N. Rougerie , J. Yngvason

We present a study on the development of rotating turbulence in Bose-Einstein condensates with a dissipative Gross-Pitaevskii model. Turbulence is generated by driving the lattice of quantized vortices in a harmonic potential with a random…

量子气体 · 物理学 2024-03-19 Yuto Sano , Makoto Tsubota

With use of the nonlinear Schr{\"o}dinger (or Gross-Pitaevskii) equation with strong repulsive cubic nonlinearity, dynamics of multi-component Bose-Einstein condensates (BECs) with a harmonic trap in 2 dimensions is investigated beyond the…

量子气体 · 物理学 2015-06-12 Katsuhiro Nakamura , Doniyor Babajanov , Davron Matrasulov , Michikazu Kobayashi

We numerically examine the corotation of two parallel quantized vortices in a self-gravitating Bose-Einstein condensate (BEC) employing the Gross-Pitaevskii-Poisson equations. The long-range gravitationally attractive interaction allows the…

其他凝聚态物理 · 物理学 2024-12-10 Kenta Asakawa , Makoto Tsubota

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…

星系天体物理 · 物理学 2018-06-06 Souvik Sarkar , Cenalo Vaz , L. C. R. Wijewardhana

We consider a Bose-Einstein condensate subject to a rotating harmonic potential, in connection with recent experiments leading to the formation of vortices. We use the classical hydrodynamic approximation to the non-linear Schr\"odinger…

软凝聚态物质 · 物理学 2016-08-31 Subhasis Sinha , Yvan Castin

We study the stability of vortices in a binary system of Bose-Einstein condensates, with their wave functions modeled by a set of coupled, time-dependent Gross-Pitaevskii equations. Beginning with an effective two-dimensional system, we…

量子气体 · 物理学 2025-01-13 Ajay Srinivasan , Aaron Wirthwein , Stephan Haas

We investigate the stability of vortices in two-dimensional Bose--Einstein condensates. In analogy with rotating spacetimes and with a careful account of boundary conditions, we show that the dynamical instability of multiply quantized…

量子气体 · 物理学 2020-06-30 Luca Giacomelli , Iacopo Carusotto

We investigate the stability of vortices in two-dimensional Bose--Einstein condensates. In analogy with rotating spacetimes and with a careful account of boundary conditions, we show that the dynamical instability of multiply quantized…

量子气体 · 物理学 2020-07-29 Luca Giacomelli , Iacopo Carusotto

We study a harmonically-confined Bose-Einstein condensate under rotation. Vortex lattice configurations are investigated through a variational approach. Vortices with more than a unit of angular momentum are not stable. We explicitly show…

凝聚态物理 · 物理学 2009-11-07 V. Subrahmanyam

When Bose-Eintein condensates are rotated sufficiently fast, a giant vortex phase appears, that is the condensate becomes annular with no vortices in the bulk but a macroscopic phase circulation around the central hole. In a former paper…

数学物理 · 物理学 2015-05-19 Nicolas Rougerie

Recently, we presented a new numerical scheme for vortex lattice formation in a rotating Bose-Einstein condensate (BEC) using smoothed particle hydrodynamics (SPH) with an explicit time-integrating scheme; our SPH scheme could reproduce the…

计算物理 · 物理学 2024-09-04 Satori Tsuzuki , Eri Itoh , Katsuhiro Nishinari

The behaviour of a harmonically trapped dipolar Bose-Einstein condensate with its dipole moments rotating at angular frequencies lower than the transverse harmonic trapping frequency is explored in the co-rotating frame. We obtain…

We study numerically the dynamical instabilities and splitting of singly and doubly quantized composite vortices in two-component Bose-Einstein condensates harmonically confined to quasi two dimensions. In this system, the vortices become…

量子气体 · 物理学 2019-10-11 Pekko Kuopanportti , Soumik Bandyopadhyay , Arko Roy , D. Angom

We place a molecular Bose-Einstein condensate in a 1D shaken lattice with a Floquet-engineered dispersion, and observe the dynamics in both position and momentum space. At the initial condition of zero momentum, our engineered dispersion is…

量子气体 · 物理学 2023-08-28 Kaiyue Wang , Feng Xiong , Yun Long , Yun Ma , Colin V. Parker

We theoretically study the stationary-state vortex lattice configurations of rotating spin-orbit- and coherently-coupled spin-1 Bose-Einstein condensates trapped in quasi-two-dimensional harmonic potentials. The combined effects of…

量子气体 · 物理学 2022-12-26 Paramjeet Banger , R. Kishor Kumar , A. Roy , Sandeep Gautam

We analyse, theoretically and experimentally, the nature of solitonic vortices (SV) in an elongated Bose-Einstein condensate. In the experiment, such defects are created via the Kibble-Zurek mechanism, when the temperature of a gas of…

Vortices in a Bose-Einstein condensate are modelled as spontaneously symmetry breaking minimum energy solutions of the time dependent Gross-Pitaevskii equation, using the method of constrained optimization. In a non-rotating axially…

量子气体 · 物理学 2021-08-09 Julien Garaud , Jin Dai , Antti J. Niemi