| Issue |
EPL
Volume 153, Number 6, March 2026
|
|
|---|---|---|
| Article Number | 66002 | |
| Number of page(s) | 6 | |
| Section | Condensed matter and materials physics | |
| DOI | https://doi.org/10.1209/0295-5075/ae508b | |
| Published online | 26 March 2026 | |
The 2D Chern-Simons-Schrödinger system reduced to 1D
1 Ecole Normale Supérieure de Lyon & CNRS, UMPA (UMR 5669) - Lyon, France
2 Ecole Normale Supérieure de Lyon, UMPA (UMR 5669) - Lyon, France
Received: 7 October 2025
Accepted: 11 March 2026
Abstract
We study a mean-field model for a system of 2D Abelian anyons, given by the dynamics of a Schrödinger matter field coupled to a Chern-Simons gauge field. We derive an effective 1D equation by adding a strongly anisotropic trapping potential (waveguide) acting on the Schrödinger field, and tracing out the tight confinement direction. The effective dynamics in the loose direction of the waveguide turns out to be governed by the classical 1D quintic NLS equation.
© 2026 The author(s)
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