Dynamics of Vortex Lattice Formation in a Rotating Bose-Einstein Condensate with an Optical Lattice Potential

Yasunaga, Masashi; Tsubota, Makoto

doi:10.1007/s10909-007-9390-1

Cited by 9 publications

(9 citation statements)

References 10 publications

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“…Numerical simulations by Sato et al 21 , Yasunaga and Tsubota 22 and Goldbaum and Mueller 45 studied how a vortex lattice is distorted by a pinning grid (e.g. an opti- Fig.…”

Section: Appendix Amentioning

confidence: 99%

Unpinning triggers for superfluid vortex avalanches

2012

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The pinning and collective unpinning of superfluid vortices in a decelerating container is a key element of the canonical model of neutron star glitches and laboratory spin-down experiments with helium II. Here the dynamics of vortex (un)pinning is explored using numerical Gross-Pitaevskii calculations, with a view to understanding the triggers for catastrophic unpinning events (vortex avalanches) that lead to rotational glitches. We explicitly identify three triggers: rotational shear between the bulk condensate and the pinned vortices, a vortex proximity effect driven by the repulsive vortex-vortex interaction, and sound waves emitted by moving and repinning vortices. So long as dissipation is low, sound waves emitted by a repinning vortex are found to be sufficiently strong to unpin a nearby vortex. For both ballistic and forced vortex motion, the maximum inter-vortex separation required to unpin scales inversely with pinning strength.Comment: 16 pages, 18 figure

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“…Numerical simulations by Sato et al 21 , Yasunaga and Tsubota 22 and Goldbaum and Mueller 45 studied how a vortex lattice is distorted by a pinning grid (e.g. an opti- Fig.…”

Section: Appendix Amentioning

confidence: 99%

Unpinning triggers for superfluid vortex avalanches

2012

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“…Yasunaga and Tsubota [18] found a different kind of vortex nucleation dynamic, in which an OL potential generates vortex-antivortex pairs inside the bulk region. We find that this nucleation dynamic occurs for a relatively large lattice spacing d. For V 0 = 20 but k = 0.3π (d = 10/3), for example, a different dynamical feature from Fig.…”

Section: Dynamics Of a Rotating Bec In An Optical Latticementioning

confidence: 99%

“…We also show that inclusion of a Gaussian envelope of the lattice beams is important to explain the experimental observation of the vortex number dependence on the rotation frequency. A preliminary numerical study on vortex nucleation in an OL was reported by Yasunaga and Tsubota [18], but the case of a deep lattice limit was not discussed and sufficient understanding of the problem is still lacking.…”

Section: Introductionmentioning

confidence: 99%

Vortex formation of a Bose-Einstein condensate in a rotating deep optical lattice

et al. 2011

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We study the dynamics of vortex nucleation and lattice formation in a Bose-Einstein condensate in a rotating square optical lattice by numerical simulations of the Gross-Pitaevskii equation. Different dynamical regimes of vortex nucleation are found, depending on the depth and period of the optical lattice. We make an extensive comparison with the experiments by R. A. Williams et al. [Phys. Rev. Lett. 104, 050404 (2010)], especially focusing on the issues of the critical rotation frequency for the first vortex nucleation and the vortex number as a function of rotation frequency.

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“…[20,21], Ueda discussed the vortex formation process and showed that the surface ripples gradually develop into vortex cores. Subsequently, some publications [22][23][24] investigated the vortex pinning effect when the rapidly rotating BEC is confined in an OL, and obtained the dependence on vortex number and rotational frequency, which confirms that a linear behavior occurs. For synthetic magnetic field, in Ref.…”

Section: Introductionmentioning

confidence: 72%

Vortex Formation of Rotating Bose–Einstein Condensates in Synthetic Magnetic Field with Optical Lattice

Zhao

2015

J Low Temp Phys

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Motivated by recent experiments carried out by Spielman's group at NIST, we study the vortex formation in a rotating Bose-Einstein condensate in synthetic magnetic field confined in a harmonic potential combined with an optical lattice. We obtain numerical solutions of the two-dimensional Gross-Pitaevskii equation and compare the vortex formation by synthetic magnetic field method with those by rotating frame method. We conclude that a large angular momentum indeed can be created in the presence of the optical lattice. However, it is still more difficult to rotate the condensate by the synthetic magnetic field than by the rotating frame even if the optical lattice is added, and the chemical potential and energy remain almost unchanged by increasing rotational frequency.

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Dynamics of Vortex Lattice Formation in a Rotating Bose-Einstein Condensate with an Optical Lattice Potential

Cited by 9 publications

References 10 publications

Unpinning triggers for superfluid vortex avalanches

Unpinning triggers for superfluid vortex avalanches

Vortex formation of a Bose-Einstein condensate in a rotating deep optical lattice

Vortex Formation of Rotating Bose–Einstein Condensates in Synthetic Magnetic Field with Optical Lattice

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