We study theoretically and numerically the ground state of a gas of 2D Abelian anyons in an external trapping potential. We treat anyon statistics in the magnetic gauge picture, perturbatively around the bosonic end. This leads to a mean-field energy functional, whose ground state displays vortex lattices similar to those found in rotating Bose-Einstein condensates. A crucial difference is, however, that the vortex density is proportional to the underlying matter density of the gas.
Vortex patterns in the almost-bosonic anyon gas
Correggi M.;
2019-01-01
Abstract
We study theoretically and numerically the ground state of a gas of 2D Abelian anyons in an external trapping potential. We treat anyon statistics in the magnetic gauge picture, perturbatively around the bosonic end. This leads to a mean-field energy functional, whose ground state displays vortex lattices similar to those found in rotating Bose-Einstein condensates. A crucial difference is, however, that the vortex density is proportional to the underlying matter density of the gas.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
Vortex Patterns in the Almost Bosonic Anyon Gas (CDLR).pdf
Accesso riservato
:
Publisher’s version
Dimensione
553.22 kB
Formato
Adobe PDF
|
553.22 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.