Sine-square deformation applied to classical Ising models
Sine-square deformation applied to classical Ising models
复制标题
正弦平方变形应用于经典伊辛模型
DOI：
10.1103/physreve.104.034133
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发表时间：
2021
影响因子：
2.4
通讯作者：
Nakamura Tota
中科院分区：
文献类型：
--
作者：
Hotta Chisa;Nakamaniwa Takashi;Nakamura Tota
正弦平方变形（SSD）是在量子系统中提出的一种处理方法，它在空间上修改哈密顿量，通过正弦平方包络函数从系统中心向边缘逐渐降低局部能量尺度。众所周知，它可以作为一个很好的边界条件，并提供再现无限大系统的物理量。我们将SSD应用于一维和二维经典Ising模型。基于解析计算和蒙特卡罗模拟，我们发现经典的固态固态系统被视为一个局部子系统的扩展正则系综，每个子系统都有自己的有效温度特征。该有效温度是通过用变形的局部能量标度正态化系统温度来定义的。对给定系统温度的一次计算提供了一组不同温度的物理量，这些物理量可以很好地定量地再现均匀系统的温度。
Sine-square deformation (SSD) is a treatment proposed in quantum systems, which spatially modifies a Hamiltonian, gradually decreasing the local energy scale from the center of the system toward the edges by a sine-squared envelope function. It is known to serve as a good boundary condition as well as to provide physical quantities reproducing those of the infinite-size systems. We apply the SSD to one- and two-dimensional classical Ising models. Based on the analytical calculations and Monte Carlo simulations, we find that the classical SSD system is regarded as an extended canonical ensemble of a local subsystem, each characterized by its own effective temperature. This effective temperature is defined by normalizing the system temperature by the deformed local energy scale. A single calculation for a given system temperature provides a set of physical quantities of various temperatures that quantitatively reproduces well those of the uniform system.