Collection Emergent phenomena in many-body quantum systems / Phénomènes émergents des systèmes quantiques a plusieurs corps

Organizer(s) Bossmann, Lea ; Giacomelli, Emanuela L. ; Lampart, Jonas ; Sabin, Julien ; Triay-Alcouffe, Arnaud

Date(s) 08/12/2025 - 12/12/2025

linked URL https://conferences.cirm-math.fr/3289.html

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Nonlinear Landau levels (NLLs) in the almost-bosonic anyon gas

I will discuss recent joint work with Ataei, Ellingsen, Getzner, Girardot, and Nguyen concerning analytical and numerical analysis for the many-anyon quantum gas confined in a plane and a trapping potential. We consider a limit where the particles are close to bosonic and parametrized by a small magnetic flux attachment and an additional "spin-orbit" interaction parameter. The low-energy landscape of the emerging effective nonlinear and nonlocal Chern-Simons-Schrödinger energy functional can then be explored using a concept of "nonlinear Landau levels", with explicit supersymmetric soliton solutions found by Jackiw and Pi in the early 1990s. In particular, the stability of the gas against collapse increases linearly with increasing flux due to the formation of counter-rotating vortices.

Information about the video

Date of recording 08/12/2025
Date of publication 22/12/2025
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.20418103
Cite this video Lundholm, Douglas (08/12/2025). Nonlinear Landau levels (NLLs) in the almost-bosonic anyon gas. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20418103
URL https://dx.doi.org/10.24350/CIRM.V.20418103

Domain(s)

Bibliography

ATAEI, Alireza, ELLINGSEN, Ask, GETZNER, Filippa, et al. Nonlinear Landau levels in the almost-bosonic anyon gas. arXiv preprint arXiv:2510.14679, 2025. - https://doi.org/10.48550/arXiv.2510.14679