We extend White's minimally entangled typically thermal states approach (METTS) to allow Abelian and non-Ablian symmetries to be exploited when computing finite-temperature response functions in one-dimensional (1D) quantum systems. Our approach, called SYMETTS, starts from a METTS sample of states that are not symmetry eigenstates, and generates from each a symmetry eigenstate. These symmetry states are then used to calculate dynamic response functions. SYMETTS is ideally suited to determine the low-temperature spectra of 1D quantum systems with high resolution. We employ this method to study a generalized diamond chain model for the natural mineral azurite Cu${}_3$(CO${}_3)_2$(OH$)_2$, which features a plateau at $\frac{1}{3}$ in the magnetization curve at low temperatures. Our calculations provide new insight into the effects of temperature on magnetization and excitation spectra in the plateau phase, which can be fully understood in terms of the microscopic model.
Topological Minimally Entangled States via Geometric Measure
在这里，我们展示了如何最小纠缠态（MES）的二维系统的拓扑顺序可以识别使用的纠缠的几何措施。我们表明这一点，通过最大限度地减少这一措施的双重半，双斐波那契和环面代码模型上的环面与非平凡的拓扑分区。我们的计算要么是对小系统尺寸的准精确计算，要么是使用[R]中的张量网络方法。Orus，T. C. Wei，O. Buerschaper，A. Garcia-Saez，arXiv：1406.0585]用于大尺寸。作为我们方法的副产品，我们看到几何纠缠的最小化也可以确定给定模型中阿贝尔准粒子激发的数量。本文的结果为从二维量子晶格模型的基态多体纠缠结构中提取其完整的拓扑信息提供了一种非常有效和精确的方法。
Spectroscopy and complex-time correlations using minimally entangled typical thermal states
Arnold Sommerfeld Center for Theoretical Physics, University of Munich（慕尼黑大学阿诺德·索末菲理论物理中心）；Max Planck Institute for the Physics of Complex Systems（马克斯·普朗克复杂系统物理研究所）；Lanzhou Center for Theoretical Physics, Key Laboratory of Quantum Theory and Applications of MoE, Key Laboratory of Theoretical Physics of Gansu Province, and School of Physical Science and Technology, Lanzhou University（兰州大学物理科学与技术学院量子理论与应用教育部重点实验室甘肃省理论物理重点实验室兰州理论物理中心）；Laboratoire Léon Brillouin, CEA, CNRS, Université Paris-Saclay（巴黎萨克雷大学CEA-CNRS勒翁·布里渊实验室）；Laboratoire de Physique Théorique et Modélisation, CNRS UMR 8089, CY Cergy Paris Université（CY塞吉-巴黎大学CNRS UMR 8089理论物理与建模实验室）
Minimally Entangled Typical Thermal States for Classical and Quantum Simulation of 1+1-Dimensional $\mathbb Z_2$ Lattice Gauge Theory at Finite Temperature and Density
Incommensurate order with translationally invariant projected entangled-pair states: Spiral states and quantum spin liquid on the anisotropic triangular lattice
