我们表征了一维$\u2124_3$手性时钟模型中的能量输运。该模型是对$\u2124_2$对称横场伊辛模型（transverse field Ising model，TFIM）的推广。除了与TFIM中的横场和最近邻自旋耦合类似的$f$和$J$之外，该模型还由手性参数$θ$进行参数化。与已被充分研究的TFIM和XYZ模型不同，该模型无法转化为费米子系统。我们采用基于矩阵乘积态的Lindblad主方程实现，在尺寸最大为48的系统中获取非平衡稳态（non-equilibrium steady state，NESS）。我们给出了不同$f/J$下，估计得到的NESS电流及其标度指数$γ$随$θ$变化的函数关系。估计得到的$γ(f/J,θ)$表明，在参数空间中一条可积点连线$f=J\cos{3θ}$上存在弹道式能量输运；所有其他点均偏离弹道输运。在现有系统尺寸范围内对有限尺寸效应的分析表明，远离可积点时系统表现出扩散行为。
英文摘要：
We characterize the energy transport in a one dimensional $\mathbb{Z}_3$ chiral clock model. The model generalizes the $\mathbb{Z}_2$ symmetric transverse field Ising model (TFIM). The model is parametrized by a chirality parameter $θ$, in addition to $f$ and $J$ which are analogous to the transverse field and the nearest neighbour spin coupling in the TFIM. Unlike the well studied TFIM and XYZ models, does not transform to a fermionic system. We use a matrix product states implementation of the Lindblad master equation to obtain the non-equilibrium steady state (NESS) in systems of sizes up to $48$. We present the estimated NESS current and its scaling exponent $γ$ as a function of $θ$ at different $f/J$. The estimated $γ(f/J,θ)$ point to a ballistic energy transport along a line of integrable points $f=J\cos{3θ}$ in the parameter space; all other points deviate from ballistic transport. Analysis of finite size effects within the available system sizes suggest a diffusive behavior away from the integrable points.
Logarithmic Aging Diffusion from a Multiplicative Event Clock: Rare Event Statistics, Ultraslow Transport, and Ensemble-Time Inequivalence
Center for Advanced Quantum Studies, School of Physics and Astronomy, Beijing Normal University（北京师范大学物理与天文学部先进量子研究中心）；Key Laboratory of Multiscale Spin Physics, Ministry of Education（教育部多尺度自旋物理重点实验室）；School of Science, Tianjin University of Technology and Education（天津职业技术师范大学理学院）；Interdisciplinary Center for Theoretical Physics and Information Sciences, Fudan University（复旦大学理论物理与信息科学交叉中心）；International Center for Quantum Materials, School of Physics, Peking University（北京大学物理学院量子材料国际中心）；Hefei National Laboratory（合肥国家实验室）
A particle-resolved rheological study of chirality transfer and odd transport
Raymond & Beverly Sackler School of Chemistry, Tel Aviv University（特拉维夫大学雷蒙德和贝弗利·萨克勒化学学院）；Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf（杜塞尔多夫海因里希·海涅大学理论物理第二研究所：软物质）；Physics department, University of Rome La Sapienza（罗马第一大学物理系）；Raymond & Beverly Sackler School of Physics and astronomy, Tel Aviv University（特拉维夫大学雷蒙德和贝弗利·萨克勒物理与天文学学院）
