Erratum: Transverse Instability of Straight Vortex Lines in Dipolar Bose-Einstein Condensates [Phys. Rev. Lett.<b>100</b>, 240403 (2008)]

Klawunn, M.; Nath, Rejish; Pedri, P.; Santos, Luís

doi:10.1103/physrevlett.101.099901

Cited by 18 publications

(29 citation statements)

References 24 publications

(23 reference statements)

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“…For a general vortex line in three dimensions, the vortex elements interact with each other at long-range via the dipolar interactions [154], as well as the usual hydrodynamic interaction [155,156]. This modifies the Kelvin-wave (transverse) modes of the vortex line, and can support a roton minimum in their dispersion relation.…”

Section: General Features Of a Vortex In A Quantum Ferrofluidmentioning

confidence: 99%

“…Considered as a density defect in a homogenous background, the vortex gives rise to its own dipolar mean-field potential. Furthermore, because the creation of a vortex core displaces a large number of atomic dipoles, the vortex can be treated as a single giant anti-dipole [154,161]. Take the case of a vortex within an otherwise uniform background of density n 0 , with the density expressed using the decomposition as in equation (43).…”

Section: Dipolar Mean-field Potential Due To a Vortex: Giantmentioning

confidence: 99%

“…Two vortices (or indeed two elements of the same threedimensional vortex line [154][155][156]) have a well-known hydrodynamic interaction due to the kinetic energy associated with the mutual cancellation/reinforcement of their velocity fields. Consider a cylindrical condensate of radius R and height L, featuring two straight vortices at planar positions 1 ρ and 2 ρ , a distance d apart.…”

Section: Interaction Between Vorticesmentioning

confidence: 99%

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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: General Features Of a Vortex In A Quantum Ferrofluidmentioning

confidence: 99%

Section: Dipolar Mean-field Potential Due To a Vortex: Giantmentioning

confidence: 99%

Section: Interaction Between Vorticesmentioning

confidence: 99%

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Vortices and vortex lattices in quantum ferrofluids

Martin

Marchant

O’Dell

et al. 2017

J. Phys.: Condens. Matter

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“…Vortices are usually formed above a critical rotation frequency. There are several studies on vortices in dipolar BECs using mean-field models [9,10,11,12,13,14,15]. A second-order like phase transition of straight and helical vortex lines occurs due to the influence of dipolar orientation has been reported [11].…”

Section: Introductionmentioning

confidence: 99%

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

Kumar

Muruganandam

2014

Eur. Phys. J. D

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Abstract. We study the interplay of dipole-dipole interaction and optical lattice (OL) potential of varying depths on the formation and dynamics of vortices in rotating dipolar Bose-Einstein condensates. By numerically solving the time-dependent quasi-two dimensional Gross-Pitaevskii equation, we analyse the consequence of dipole-dipole interaction on vortex nucleation, vortex structure, critical rotation frequency and number of vortices for a range of OL depths. Rapid creation of vortices has been observed due to supplementary symmetry breaking provided by the OL in addition to the dipolar interaction. Also the critical rotation frequency decreases with an increase in the depth of the OL. Further, at lower rotation frequencies the number of vortices increases on increasing the depth of OL while it decreases at higher rotation frequencies. This variation in the number of vortices has been confirmed by calculating the rms radius, which shrinks in deep optical lattice at higher rotation frequencies.PACS. 03.75.Lm Topological excitations, Vortices in Bose-Einstein condensation -67.10.Hk structure and dynamics of quantum fluids

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“…Vortices have not been experimentally realized in dipolar BECs yet, but they are a most appealing phenomenon and there is intensive theoretical research on them [5,6,7,8,9,10,11].…”

Section: Introductionmentioning

confidence: 99%

Energy barriers for vortex nucleation in dipolar condensates

et al. 2010

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We consider singly-quantized vortex states in a condensate of 52 Cr atoms in a pancake trap. We obtain the vortex solutions by numerically solving the Gross-Pitaevskii equation in the rotating frame with no further approximations. The behavior of the condensate is studied under three different situations concerning the interactions: only s-wave, s-wave plus dipolar and only dipolar. The energy barrier for the nucleation of a vortex is calculated as a function of the vortex displacement from the rotation axis in the three cases. These results are compared to those obtained for contact interaction condensates in the Thomas-Fermi approximation, and to a pseudo-analytical model, showing this latter a very good agreement with the numerical calculation.

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Erratum: Transverse Instability of Straight Vortex Lines in Dipolar Bose-Einstein Condensates [Phys. Rev. Lett.100, 240403 (2008)]

Cited by 18 publications

References 24 publications

Vortices and vortex lattices in quantum ferrofluids

Vortices and vortex lattices in quantum ferrofluids

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

Energy barriers for vortex nucleation in dipolar condensates

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