论文标题
光学旋转眼镜:玻璃系统的新型号
Optical spin glasses: a new model for glassy systems
论文作者
论文摘要
这项工作的目的是证明可以实现一个光学系统,该光学系统可以作为输出强度产生,该光强度可以以相同的数学形式的自旋玻璃哈密顿量表示。正在研究的光学系统通过自适应光学设备进行控制,由数百万可开关的镜子组成。这些用户控制的镜子正在扮演旋转状态的角色。此外,这种光学系统可用于运行模拟,并应用在计算机模拟中使用的相同的Metropolis Monte Carlo算法,提取自旋玻璃物理学的感兴趣量。所提出的系统比现有基于计算机的自旋玻璃模拟具有很大的优势:模拟步骤对旋转$ n $的总数没有缩放依赖性,并且整个模拟对$ n $的线性依赖性,因为我们希望保持每个旋转常数的动作数量。应将其与单个蒙特卡洛在计算机模拟中的$ n^2 $依赖性进行比较,该蒙特卡洛移动在计算机模拟中产生了全局n3依赖性。一些实验问题限制了这种优势,但在演讲结束时部分解决。
The aim of this work is to prove that it is possible to realise an optical system which produces as output a light intensity that can be expressed in the same mathematical form of the spin glass Hamiltonian. The optical system under study is controlled through an adaptive optics device composed by millions of switchable mirrors in an ON and OFF position. These user controlled mirrors are playing the role of the spin states. Furthermore, such optical system can be used to run simulations and, applying the same Metropolis Monte Carlo algorithm used in computer simulations, extract the quantities of interest for Spin Glass physics. The proposed system has a great advantage over existing computer-based spin glass simulations: the simulation step has no scaling dependence on the total number of spins $N$ and the whole simulation has a linear dependence on $N$, due to the fact that we want to keep the number of moves per spin constant. This should be compared to the $N^2$ dependence of a single Monte Carlo move in computer simulation, which yields a global N3 dependence. Some experimental problems limit such advantage, but are partially addressed at the end of the presentation.