14 research outputs found

    Heating up quadruply quantized vortices: Splitting patterns and dynamical transitions

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    Using holographic duality, we investigate the impact of finite temperature on the instability and splitting patterns of quadruply quantized vortices, providing the first-ever analysis in this context. Through linear stability analysis, we reveal the occurrence of two consecutive dynamical transitions. At a specific low temperature, the dominant unstable mode transitions from the 22-fold rotational symmetry mode to the 33-fold one, followed by a transition from the 33-fold one to the 44-fold one at a higher temperature. As the temperature is increased, we also observe the 55 and 66-fold rotational symmetry unstable modes get excited successively. Employing the full non-linear numerical simulations, we further demonstrate that these two novel dynamical transitions, along with the temperature-induced instabilities for the 55 and 66-fold rotational symmetry modes, can be identified by examining the resulting distinct splitting patterns, which offers a promising route for the experimental verification in the cold atom gases.Comment: 10 pages,8 figures, version to appear in Physical Review Letter

    Static structures of the BCS-like holographic superfluid in AdS

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    Towards an effective description of holographic vortex dynamics

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    Although holographic duality has been regarded as a complementary tool in helping understand the non-equilibrium dynamics of strongly coupled many-body systems, it still remains an open question how to confront its predictions quantitatively with the real experimental scenarios. By taking a right evolution scheme for the holographic superfluid model and matching the holographic data with the phenomenological dissipative Gross-Pitaeviskii models, we find that the holographic dissipation mechanism can be well captured by the Landau form, which is expected to greatly facilitate the quantitative test of the holographic predictions against the upcoming experimental data. Our result also provides a prime example how holographic duality can help select proper phenomenological models by invalidating the claim made in the previous literature that the Keldysh self energy can serve as an effective description of the holographic dissipation in superfluids.Comment: 7 pages, 10 figures, 1 table; minor improvements with typos correcte

    Splitting of doubly quantized vortices in holographic superfluid of finite temperature

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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.Peer reviewe
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