Spin glass is a prototypical disordered system in statistical mechanics, exhibiting numerous intriguing properties such as replica symmetry breaking and equilibrium chaos. While the mean-field spin glass is relatively well understood, basic properties of the more realistic models, e.g., in three dimensions remain largely unclear. In this talk, we first introduce the spin glass and the possible theoretical pictures in three dimensions. We subsequently focus on a fundamental problem whether the three-dimensional spin glass has one or many pairs of pure states from the computational perspective, arguing that the present numerical results are most compatible with many thermodynamic states. In addition, we briefly describe the recently developed population annealing Monte Carlo algorithm, which is a general purpose, efficient, and massively parallel method for simulating glassy systems. 

　　 

　　

 汪文龙：现任四川大学物理学院特聘研究员。凝聚态计算物理，主要研究统计物理无序系统、非线性孤波、与数值计算技术。2015年毕业于美国Univ. of Massachusetts Amherst，之后在美国Texas A&M Univ. 和瑞典Royal Inst. of Tech. 分别从事两年博士后研究，并于2019年入职四川大学物理学院。