Anyons in a tight wave-guide and the Tonks-Girardeau gas

SciPost physics core Pub Date : 2023-11-15 DOI:10.21468/scipostphyscore.6.4.079

Nicolas Rougerie, Qiyun Yang

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引用次数: 3

Abstract

We consider a many-body system of 2D anyons, free quantum particles with general statistics parameter \alpha ∈ ]0,2[ α∈]0,2[ . In the magnetic gauge picture they are described as bosons attached to Aharonov-Bohm fluxes of intensity 2\pi \alpha 2πα , 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 α .

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紧波导中的任意粒子和唐克斯-吉拉多气体

我们考虑一个二维任意子的多体系统，自由量子粒子具有一般统计参数\alpha ＆＃8712;[0,2] [α∈]0,2[。]在磁规图中，它们被描述为附着在强度为2 \pi\alpha 2πα的Aharonov-Bohm通量上的玻色子，产生远程磁力。通过施加强各向异性俘获势，得到一维降维。这冻结了强俘获方向的运动，导致弱方向的一维物理。后者由独立于\alpha α的不可穿透玻色子的Tonks-Girardeau模型支配。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

SciPost physics core

CiteScore

4.30

自引率

0.00%

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