Mean-field regime of trapped dipolar Bose-Einstein condensates in one and two dimensions

Cai, Yongyong; Rosenkranz, Matthias; Lei, Zhen; Bao, Weizhu

doi:10.1103/physreva.82.043623

Cited by 80 publications

(135 citation statements)

References 49 publications

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“…Assuming that the dynamical evolution mostly takes place in the direction containing the barrier, the 3D GP equation can be reduced to a simpler one-dimensional (1D) form [24]. Such reduction is reasonable in the case of a strong trapping in the other two spatial directions, say, in the x-y plane.…”

Section: The Modelmentioning

confidence: 99%

Dissipation effect in the double-well Bose-Einstein condensate

Zheng

Hao

2012

Eur. Phys. J. D

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Dynamics of the double-well Bose-Einstein condensate subject to energy dissipation is studied by solving a reduced one-dimensional time-dependent Gross-Pitaevskii equation numerically. We first reproduce the phase space diagram of the system without dissipation systematically, and then calculate evolutionary trajectories of dissipated systems. It is clearly shown that the dissipation can drive the system to evolve gradually from the π-mode quantum macroscopic self-trapping state, a state with relatively higher energy, to the lowest energy stationary state in which particles distribute equally in the two wells. The average phase and phase distribution in each well are discussed as well. We show that the phase distribution varies slowly in each well but may exhibit abrupt changes near the barrier. This sudden change occurs at the minimum position in particle density profile. We also note that the average phase in each well varies much faster with time than the phase difference between two wells.

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Section: The Modelmentioning

confidence: 99%

Dissipation effect in the double-well Bose-Einstein condensate

Zheng

Hao

2012

Eur. Phys. J. D

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“…The realspace form of the effective two-dimensional dipolar interaction potential U dd ⊥ is given elsewhere [131], while in this review its Fourier transform is used [130,132],…”

Section: Quasi-two-dimensional Dipolar Bose-einstein Condensatementioning

confidence: 99%

Vortices and vortex lattices in quantum ferrofluids

Martin

Marchant

O’Dell

et al. 2017

J. Phys.: Condens. Matter

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The experimental realization of quantum-degenerate Bose gases made of atoms with sizeable magnetic dipole moments has created a new type of fluid, known as a quantum ferrofluid, which combines the extraordinary properties of superfluidity and ferrofluidity. A hallmark of superfluids is that they are constrained to rotate through vortices with quantized circulation. In quantum ferrofluids the long-range dipolar interactions add new ingredients by inducing magnetostriction and instabilities, and also affect the structural properties of vortices and vortex lattices. Here we give a review of the theory of vortices in dipolar Bose-Einstein condensates, exploring the interplay of magnetism with vorticity and contrasting this with the established behaviour in non-dipolar condensates. We cover single vortex solutions, including structure, energy and stability, vortex pairs, including interactions and dynamics, and also vortex lattices. Our discussion is founded on the mean-field theory provided by the dipolar Gross-Pitaevskii equation, ranging from analytic treatments based on the Thomas-Fermi (hydrodynamic) and variational approaches to full numerical simulations. Routes for generating vortices in dipolar condensates are discussed, with particular attention paid to rotating condensates, where surface instabilities drive the nucleation of vortices, and lead to the emergence of rich and varied vortex lattice structures. We also present an outlook, including potential extensions to degenerate Fermi gases, quantum Hall physics, toroidal systems and the Berezinskii-Kosterlitz-Thouless transition.

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“…In particular, these trapping potentials can be tight enough to make the system effectively two-or onedimensional. Many interesting studies concerning two-or quasitwo dimensional dipolar quantum gases have been performed in recent years, including the analysis of two-body scattering properties [11,12,13], static properties of the many body trapped system [9,14] and homogeneous gas [15,16,17,18,19], and some works about the dynamic response [20,21,22].…”

Section: Introductionmentioning

confidence: 99%

Ground state properties and excitation spectrum of a two dimensional gas of bosonic dipoles

2012

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Abstract. We present a quantum Monte Carlo study of two-dimensional dipolar Bose gases in the limit of zero temperature. The analysis is mainly focused on the anisotropy effects induced in the homogeneous gas when the polarization angle with respect to the plane is changed. We restrict our study to the regime where the dipolar interaction is strictly repulsive, although the strength of the pair repulsion depends on the vector interparticle distance. Our results show that the effect of the anisotropy in the energy per particle scales with the gas parameter at low densities as expected, and that this scaling is preserved for all polarization angles even at the largest densities considered here. We also evaluate the excitation spectrum of the dipolar Bose gas in the context of the Feynman approximation and compare the results obtained with the Bogoliubov ones. As expected, we find that these two approximations agree at very low densities, while they start to deviate from each other as the density increases. For the largest densities studied, we observe a significant influence of the anisotropy of the dipole-dipole interaction in the excitation spectrum.

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Mean-field regime of trapped dipolar Bose-Einstein condensates in one and two dimensions

Cited by 80 publications

References 49 publications

Dissipation effect in the double-well Bose-Einstein condensate

Dissipation effect in the double-well Bose-Einstein condensate

Vortices and vortex lattices in quantum ferrofluids

Ground state properties and excitation spectrum of a two dimensional gas of bosonic dipoles

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