Controllable splitting dynamics of a doubly quantized vortex in a ring-shaped condensate

Xiong, Bo; Yang, Tao; Lin, Yu-Ju; Wang, Daw-Wei

doi:10.1088/1361-6455/ab707d

Cited by 3 publications

(1 citation statement)

References 37 publications

(73 reference statements)

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“…In addition, the vortex dynamics has also been widely studied both theoretically and experimentally [10][11][12]. In particular, over the last two decades, splitting of multiply quantized vortices into many singly quantized vortices has been extensively investigated in gaseous BEC [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]. However, studies on the effect of finite temperature on vortex splitting are still lacking.…”

Section: Introductionmentioning

confidence: 99%

Splitting of doubly quantized vortices in holographic superfluid of finite temperature

Lan¹,

Li²,

Mo³

et al. 2023

Preprint

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The temperature effect on the linear instability and the splitting process of a doubly quantized vortex is studied. Using the linear perturbation theory to calculate out the quasi-normal modes of the doubly quantized vortex, we find that the imaginary part of the most unstable mode increases with the temperature till some turning temperature, after which the imaginary part of the most unstable mode decreases with the temperature. On the other hand, by the fully nonlinear numerical simulations, we also examine the splitting process of the doubly quantized vortex, where not only do the split singly quantized vortex pair depart from each other, but also revolve around each other. In particular, the characteristic time scale for the splitting process is identified and its temperature dependence is found to be in good agreement with the linear instability analysis in the sense that the larger the imaginary part of the most unstable is, the longer the splitting time is. Such a temperature effect is expected to be verified in the cold atom experiments in the near future.

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Section: Introductionmentioning

confidence: 99%

Splitting of doubly quantized vortices in holographic superfluid of finite temperature

Lan¹,

Li²,

Mo³

et al. 2023

Preprint

View full text Add to dashboard Cite

show abstract

Splitting of doubly quantized vortices in holographic superfluid of finite temperature

Lan

et al. 2023

J. High Energ. Phys.

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The temperature effect on the linear instability and the splitting process of a doubly quantized vortex is studied. Using the linear perturbation theory to calculate out the quasi-normal modes of the doubly quantized vortex, we find that the imaginary part of the unstable mode increases with the temperature till some turning temperature, after which the imaginary part of the unstable mode decreases with the temperature. On the other hand, by the fully non-linear numerical simulations, we also examine the real time splitting process of the doubly quantized vortex, where not only do the split singly quantized vortex pair depart from each other, but also revolve around each other. In particular, the characteristic time scale for the splitting process is identified and its temperature dependence is found to be in good agreement with the linear instability analysis in the sense that the larger the imaginary part of the unstable mode is, the longer the splitting time is. Such a temperature effect is expected to be verified in the cold atom experiments in the near future.

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Noncanonical vortex states and dynamics in Bose-Einstein condensates

Xing¹,

Zhang²,

Yang³

2023

Acta Phys. Sin.

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Vortex excitations triggered by nonlinear interactions in Bose-Einstein condensates have attracted interest in the study of ultracold atoms.However,most studies focus on canonical vortex states with integer topological charges.In this paper,we study the dynamic properties of noncanonical vortex condensates with three phase distributions:power-exponent,new type power-exponent and oscillation type.The results show that the noncanonical vortices are dynamic unstable and their density distribution obviously depends on the phase parameters of the initial optical phase mask.Different noncanonical vortices decay into canonical clusters with diverse configurations showing rich topological excitation patterns.In particular,a new power exponential noncanonical vortex state decays into a stable canonical polygonal vortex cluster structure.Because the phase structure of the noncanonical optical vortex destroys the rotational symmetry of the condensate,the angular momentum of the condensate is no longer quantized,and its value changes with the power of the azimuthal angle of the optical field or the oscillation frequency,which is obviously different from the evolution of the corresponding noncanonical vortex optical field itself.In the dynamical process,the center-of-mass trajectory of noncanonical vortex condensates with the new type of power exponent phase is always a point,while for the noncanonical vortex condensates with power exponent and oscillating phase,the center-of-mass trajectories are ellipses centering at the origin of coordinates.

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Controllable splitting dynamics of a doubly quantized vortex in a ring-shaped condensate

Cited by 3 publications

References 37 publications

Splitting of doubly quantized vortices in holographic superfluid of finite temperature

Splitting of doubly quantized vortices in holographic superfluid of finite temperature

Splitting of doubly quantized vortices in holographic superfluid of finite temperature

Noncanonical vortex states and dynamics in Bose-Einstein condensates

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