Collective dynamics of quantized vortices in superfluidity and superconductivity | Vidéo | Carmin.tv

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Collective dynamics of quantized vortices in superfluidity and superconductivity

Appears in collection : Jean Morlet Chair 2021- Conference: Kinetic Equations: From Modeling Computation to Analysis / Chaire Jean-Morlet 2021 - Conférence : Equations cinétiques : Modélisation, Simulation et Analyse

Quantized vortices have been experimentally observed in type-II superconductors, superfluids, nonlinear optics, etc. In this talk, I will review different mathematical equations for modeling quantized vortices in superfluidity and superconductivity, including the nonlinear Schrödinger/Gross-Pitaevskii equation, Ginzburg-Landau equation, nonlinear wave equation, etc. Asymptotic approximations on single quantized vortex state and the reduced dynamic laws for quantized vortex interaction are reviewed and solved approximately in several cases. Collective dynamics of quantized vortex interaction based on the reduced dynamic laws are presented. Extension to bounded domains with different boundary conditions are discussed.

Information about the video

Date of recording 23/03/2021
Date of publication 09/04/2021
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19733403
Cite this video Bao, Weizhu (23/03/2021). Collective dynamics of quantized vortices in superfluidity and superconductivity. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19733403
URL https://dx.doi.org/10.24350/CIRM.V.19733403

Domain(s)

Bibliography

JOHNSON, T. H., YUAN, Y., BAO, W., et al. Hubbard model for atomic impurities bound by the vortex lattice of a rotating bose-einstein condensate. Physical review letters, 2016, vol. 116, no 24, p. 240402. - https://doi.org/10.1103/PhysRevLett.116.240402
CAI, Yongyong, YUAN, Yongjun, ROSENKRANZ, Matthias, et al. Vortex patterns and the critical rotational frequency in rotating dipolar Bose-Einstein condensates. Physical Review A, 2018, vol. 98, no 2, p. 023610. - https://doi.org/10.1103/PhysRevA.98.023610

MSC codes

Document(s)

https://www.cirm-math.fr/RepOrga/2355/Slides/slide_Bao_WEIZHU.pdf

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