TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.6.4.079
TI  - Anyons in a tight wave-guide and the Tonks-Girardeau gas
PY  - 2023/11/15
UR  - https://www.scipost.org/SciPostPhysCore.6.4.079
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 6
IS  - 4
SP  - 079
A1  - Rougerie, Nicolas
AU  - Yang, Qiyun
AB  - We consider a many-body system of 2D anyons, free quantum particles with general statistics parameter $\alpha ∈ ]0,2[$. In the magnetic gauge picture they are described as bosons attached to Aharonov-Bohm fluxes of intensity $2\pi \alpha$, generating long-range magnetic forces. A dimensional reduction to 1D is obtained by imposing a strongly anisotropic trapping potential. This freezes the motion in the direction of strong trapping, leading to 1D physics along the weak direction. The latter is governed to leading order by the Tonks-Girardeau model of impenetrable bosons, independently of $\alpha$.
ER  -

@Article{10.21468/SciPostPhysCore.6.4.079,
	title={{Anyons in a tight wave-guide and the Tonks-Girardeau gas}},
	author={Nicolas Rougerie and Qiyun Yang},
	journal={SciPost Phys. Core},
	volume={6},
	pages={079},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.6.4.079},
	url={https://scipost.org/10.21468/SciPostPhysCore.6.4.079},
}