论文标题

尺寸跨界以及热力学与动力学之间的联系:复杂温度下的Ising模型的情况

Dimensional crossover and the link between thermodynamics and dynamics: the case of Ising models at complex temperature

论文作者

Basu, Sankhya, Hooley, Chris A., Oganesyan, Vadim

论文摘要

我们通过比较三种类型的系统:无限各向同性2D ISING模型来研究复杂温度下的Ising系统中的尺寸交叉; the infinite anisotropic 2D Ising model; and Ising ladders with a finite number of legs.特别是,我们从基于模型的精确解决方案的张量 - 网络计算和数值评估中提供了证据,即无限各向异性2D ISING模型在复杂的平面的某些区域中均显示了长期空间调制的磁化。我们讨论复杂平面中存在的特殊统一点的物理学,以及它们与量子信息处理理论的联系。

We study dimensional crossover in Ising systems at complex temperatures by comparing three types of system: the infinite isotropic 2D Ising model; the infinite anisotropic 2D Ising model; and Ising ladders with a finite number of legs. In particular we present evidence, from both tensor-network calculations and numerical evaluations based on the exact solution of the model, that the infinite anisotropic 2D Ising model exhibits long-range spatially modulated magnetization in certain regions of the complex-temperature plane. We discuss the physics of the special unitary points that exists in the complex-temperature plane, and their connections to the theory of quantum information processing.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源