Effect of optical lattice potentials on the vortices in rotating dipolar Bose-Einstein condensates

Kumar, Ramavarmaraja Kishor; Muruganandam, Paulsamy

doi:10.1140/epjd/e2014-40787-1

Cited by 10 publications

(3 citation statements)

References 64 publications

(61 reference statements)

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“…Numerical results of the dipolar GPE in the quasi-twodimensional regime [198,199] show that, for an adiabatic introduction of the rotation frequency, the strength of the dipolar interaction influences the rotation frequency at which vortices are admitted into the condensate. In agreement with analysis presented above, it is also found that as the dipolar interaction is increased the rotation frequency required to nucleate vortices is reduced.…”

Section: Does the Final State Of The System Contain Vortices?mentioning

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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Section: Does the Final State Of The System Contain Vortices?mentioning

confidence: 99%

Vortices and vortex lattices in quantum ferrofluids

Martin

Marchant

O’Dell

et al. 2017

J. Phys.: Condens. Matter

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“…These studies revealed that the rotational properties of dipolar BECs are strongly influenced by the harmonic trap aspect ratio, DDI strength, contact interaction (CI) strength and relative strengths between DDI and CI [20,21]. Square and triangular vortex lattice structures have been predicted in dipolar BECs loaded in optical lattice potentials [22]. The stability of dipolar BEC is strongly dependent on the trap geometry and dipolar interaction strength.…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional vortex structures in a rotating dipolar Bose–Einstein condensate

Kumar

Sriraman

Fabrelli

et al. 2016

J. Phys. B: At. Mol. Opt. Phys.

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Abstract. We study three-dimensional vortex lattice structures in purely dipolar Bose-Einstein condensate (BEC). By using the mean-field approximation, we obtain a stability diagram for the vortex states in purely dipolar BECs as a function of harmonic trap aspect ratio (λ) and dipole-dipole interaction strength (D) under rotation. Rotating the condensate within the unstable region leads to collapse while in the stable region furnishes stable vortex lattices of dipolar BECs. We analyse stable vortex lattice structures by solving the three-dimensional time-dependent Gross-Pitaevskii equation in imaginary time. Further, the stability of vortex states is examined by evolution in real-time. We also investigate the distribution of vortices in a fully anisotropic trap by increasing eccentricity of the external trapping potential. We observe the breaking up of the condensate in two parts with an equal number of vortices on each when the trap is sufficiently weak, and the rotation frequency is high.

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“…The standard model also find a lot of new applications presented in Refs. [21]- [34]. Speaking about application of the standard model of dipolar BECs we should mention that we explicitly apply the full potential of the electric dipole interaction (see formula (5) below, or papers [8], [9], [11]), whereas the standard model contains the shorted potential with no delta function term.…”

Section: Introductionmentioning

confidence: 99%

Twisted behavior of dipolar BECs: Dipole-dipole interaction beyond the self-consistent field approximation and exchange electric dipole interaction

Andreev

2014

Preprint

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Dipole-dipole interaction is a long-range interaction, hence we could expect that the self-consistent field approximation might be applied. In most cases it is correct, but dipolar BECs reveal a surprise. Structure of the self-consistent field term requires that interacting particles are in different quantum states, while in BECs all particles in a single quantum state. This fact requires to consider the two-particle polarisation, which describes dipole-dipole interaction, in more details. We present this consideration and show an astonishing result that the two-particle quantum correlation in dipolar BECs reveals in the same form as the self-consistent field term.

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Effect of optical lattice potentials on the vortices in rotating dipolar Bose-Einstein condensates

Cited by 10 publications

References 64 publications

Vortices and vortex lattices in quantum ferrofluids

Vortices and vortex lattices in quantum ferrofluids

Three-dimensional vortex structures in a rotating dipolar Bose–Einstein condensate

Twisted behavior of dipolar BECs: Dipole-dipole interaction beyond the self-consistent field approximation and exchange electric dipole interaction

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