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

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

Organisateur(s) Bostan, Mihaï ; Jin, Shi ; Mehrenberger, Michel ; Montibeller, Celine
Date(s) 22/03/2021 - 26/03/2021
URL associée https://www.chairejeanmorlet.com/2355.html
00:00:00 / 00:00:00
4 19

Collective dynamics of quantized vortices in superfluidity and superconductivity

De Weizhu Bao

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.

Informations sur la vidéo

Données de citation

  • DOI 10.24350/CIRM.V.19733403
  • Citer cette vidéo 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

Bibliographie

  • 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

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