Vortex-lattice formation and melting in a nonrotating Bose-Einstein condensate

Ruben, Gary; Paganin, David M.; Morgan, Michael J.

doi:10.1103/physreva.78.013631

Cited by 21 publications

(32 citation statements)

References 36 publications

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“…with J σ = i 2m σ (ψ * σ ∇ψ σ −ψ σ ∇ψ * σ ) being the velocity probability current. The overall vorticity of the system can be quantified via the integrated vorticity [96] Z σ = |Ω σ |dxdy.…”

Section: Observablesmentioning

confidence: 99%

Quench induced vortex-bright-soliton formation in binary Bose-Einstein condensates

Mukherjee

Mistakidis

Kevrekidis

et al. 2020

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

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We unravel the spontaneous generation of vortex-bright-soliton structures in binary Bose-Einstein condensates with a small mass imbalance between the species confined in a two-dimensional harmonic trap where one of the two species has been segmented into two parts by a potential barrier. To trigger the dynamics the potential barrier is suddenly removed and subsequently the segments perform a counterflow dynamics. We consider a relative phase difference of π between the segments, while a singly quantized vortex may be imprinted at the center of the other species. The number of vortex structures developed within the segmented species following the merging of its segments is found to depend on the presence of an initial vortex on the other species. In particular, a π phase difference in the segmented species and a vortex in the other species result in a single vortex-bright-soliton structure. However, when the non-segmented species does not contain a vortex the counterflow dynamics of the segmented species gives rise to a vortex dipole in it accompanied by two bright solitary waves arising in the non-segmented species. Turning to strongly mass imbalanced mixtures, with a heavier segmented species, we find that the same overall dynamics takes place, while the quench-induced nonlinear excitations become more robust. Inspecting the dynamics of the angular momentum we show that it can be transferred from one species to the other, and its transfer rate can be tuned by the strength of the interspecies interactions and the mass of the atomic species.

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Section: Observablesmentioning

confidence: 99%

Quench induced vortex-bright-soliton formation in binary Bose-Einstein condensates

Mukherjee

Mistakidis

Kevrekidis

et al. 2020

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

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show abstract

“…Adiabatic removal of the separating potential provided a statistical prediction of the presence or absence of a vortex in the resulting condensate, depending on the random relative phases of the initial condensate components. In contrast with this experiment, under sufficiently rapid non-adiabatic removal of the separating potential, three colliding condensate fragments have been predicted and demonstrated to form a honeycomb vortex-antivortex lattice, equivalent to two interleaved Abrikosov lattices-one of vortices and the other of antivortices [46,49,50]. Similar honeycomb vortex lattices could also be produced by using aberrated matter wave lensing technique [51,52].…”

Section: Introductionmentioning

confidence: 93%

“…Theê i are Cartesian basis vectors. In comparison, by treating the colliding wave packets as Gaussian functions the interference is described by the wavefunction [46,64] ψ (r, t) = π − 1 2 ∆p…”

Section: A Collision Of Three Scalar Condensatesmentioning

confidence: 99%

Route to non-Abelian quantum turbulence in spinor Bose-Einstein condensates

2015

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We have studied computationally the collision dynamics of spin-2 Bose-Einstein condensates initially confined in a triple-well trap. Depending on the intra-and inter-component relative phases of the initial state spinor wave function, the collision of the three condensate segments produces one of many possible vortex-antivortex lattices after which the system transitions to quantum turbulence. We find that the emerging vortex lattice structures can be described in terms of multi-wave interference. We show that the three-segment collisions can be used to systematically produce staggered vortex-antivortex honeycomb lattices of fractional-charge vortices, whose collision dynamics are known to be non-Abelian. Such condensate collider experiments could potentially be used as a controllable pathway to generating non-Abelian superfluid turbulence with networks of vortex rungs.arXiv:1412.6186v1 [cond-mat.quant-gas]

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“…For vortices to be produced by interference, the contributions from each expanding wavepacket must be approximately equal. This establishes a spatiotemporal condition, which limits the lattice extent and describes its growth by vortex formation within an expanding circular envelope [9]. By evaluating the locations of two adjacent vortices of the same sign within this envelope, we find that the lattice basis vectors [ Fig.…”

mentioning

confidence: 91%

“…The π/2 pulse may be applied either immediately before or after trap removal. The overall translation of each VA lattice depends only on the relative phases of the initial wavepackets [9]. Although intra-component phases are uncontrolled in typical experiments, full control over the inter-component phase may be realized by spatially-localized Raman beam pairs focused on each wavepacket.…”

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confidence: 99%

Texture Control in a Pseudospin Bose-Einstein Condensate

2010

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We describe a wavefunction engineering approach to the formation of textures in a two-component nonrotated Bose-Einstein condensate. By controlling the phases of wavepackets that combine in a three-wave interference process, a ballistically-expanding regular lattice-texture is generated, in which the phases determine the component textures. A particular example is presented of a lattice-texture composed of half-quantum vortices and spin-2 textures. We demonstrate the lattice formation with numerical simulations of a viable experiment, identifying the textures and relating their locations to a linear theory of wavepacket interference.

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Vortex-lattice formation and melting in a nonrotating Bose-Einstein condensate

Cited by 21 publications

References 36 publications

Quench induced vortex-bright-soliton formation in binary Bose-Einstein condensates

Quench induced vortex-bright-soliton formation in binary Bose-Einstein condensates

Route to non-Abelian quantum turbulence in spinor Bose-Einstein condensates

Texture Control in a Pseudospin Bose-Einstein Condensate

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