Anyon Quantum Transport and Noise Away from Equilibrium,Annalen Der Physik

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Anyon Quantum Transport and Noise Away from Equilibrium
Annalen Der Physik ( IF 2.2 ) Pub Date : 2020-09-06 , DOI: 10.1002/andp.202000276
Mihail Mintchev ₁ , Paul Sorba ₂

Affiliation

The quantum transport of anyons in one space dimension is investigated. After establishing some universal features of non‐equilibrium systems in contact with two heat reservoirs in a generalized Gibbs state, the abelian anyon solution of the Tomonaga–Luttinger model possessing axial‐vector duality is focused upon. In this context a non‐equilibrium representation of the physical observables is constructed, which is the basic tool for a systematic study of the anyon particle and heat transport. The associated Lorenz number is determined and the deviation from the standard Wiedemann–Franz law induced by the interaction and the anyon statistics is explicitly described. The quantum fluctuations generated by the electric and helical currents are investigated and the dependence of the relative noise power on the statistical parameter is established.

中文翻译：

Anyon远离平衡的量子输运和噪声

研究了一个空间维上任意子的量子输运。在建立了与两个处于广义Gibbs状态的储热器接触的非平衡系统的一些通用特征之后，着重研究了具有轴向矢量对偶性的Tomonaga-Luttinger模型的阿贝尔Anyon解。在这种情况下，构建了物理观测值的非平衡表示，这是系统研究安永粒子和热传递的基本工具。确定了相关的洛伦兹数，并明确描述了由相互作用和安农统计引起的与标准Wiedemann-Franz定律的偏差。研究了由电流和螺旋电流产生的量子涨落，并建立了相对噪声功率对统计参数的依赖性。

更新日期：2020-10-11

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