Splitting of a Multiply Quantized Vortex for a Bose-Einstein Condensate in an Optical Lattice

Zhu, Qing-Li; Pan, Ling

doi:10.1007/s10909-021-02588-6

Cited by 5 publications

(2 citation statements)

References 53 publications

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“…It is also of interest to consider the case when the rotation is extremely fast, corresponding to a large external magnetic field. In such a case, the profile of the wave packet may be unstable and split into parts, similar to what happened to quantum vortices with quantum numbers too large [15,16].…”

Section: Resultsmentioning

confidence: 86%

Effects of magnetic field on the evolution of the wave function of a charged particle with an angular momentum

He¹,

Zhu²

2022

Commun. Theor. Phys.

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We have calculated the effect of magnetic field on the evolution of angular momentum eigenfunctions of a charged particle. An additional harmonic potential is supplemented to trap the wave packet. We find the probability density of the wave function is oscillating in radial direction with a time period determined by the strength of the effective harmonic potential. When the magnetic field is along $z$ direction, if the initial wave function is eigenfunction of $\hat{L}_z$, the probability density of the particle remains axis symmetric. While for the case of eigenfunction of $\hat{L}_x$, it is anisotropic in the $x-y$ plane and rotates with a time period inverse proportional to the strength of the external magnetic field. We also extend the results in a phenomenological way to the case with an external magnetic field that varies harmonically in time.

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Section: Resultsmentioning

confidence: 86%

Effects of magnetic field on the evolution of the wave function of a charged particle with an angular momentum

He¹,

Zhu²

2022

Commun. Theor. Phys.

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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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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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Splitting of a Multiply Quantized Vortex for a Bose-Einstein Condensate in an Optical Lattice

Cited by 5 publications

References 53 publications

Effects of magnetic field on the evolution of the wave function of a charged particle with an angular momentum

Effects of magnetic field on the evolution of the wave function of a charged particle with an angular momentum

Splitting of doubly quantized vortices in holographic superfluid of finite temperature

Splitting of doubly quantized vortices in holographic superfluid of finite temperature

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