Vortex patterns in the almost-bosonic anyon gas

Michele Correggi (1) , Romain Duboscq (2) , Douglas Lundholm (3) , Nicolas Rougerie (4)

1 Sapienza University of Rome - Dipartimento di Matematica "Guido Castelnuovo" [Roma I]
2 INSA Toulouse - Institut National des Sciences Appliquées - Toulouse
3 KTH - Department of Mathematics [Sweden]
4 LPM2C - Laboratoire de physique et modélisation des milieux condensés

We study theoretically and numerically the ground state of a gas of 2D 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.

Domains: Quantum Gases [cond-mat.quant-gas]; Quantum Physics [quant-ph]; Mathematical Physics [math-ph]; Analysis of PDEs [math.AP]; Numerical Analysis [math.NA]

Michele Correggi, Romain Duboscq, Douglas Lundholm, Nicolas Rougerie. Vortex patterns in the almost-bosonic anyon gas. 2019. ⟨hal-01997590v1⟩