报告人: Prof. Chao Yang
Lawrence Berkeley National Laboratory
地点：邯郸校区光华楼东主楼2201
时间: 10月18日周五 15:00-16:00
题目: Algorithms for Computing Eigenvalues of Quantum Spin Chains
摘要: We present algorithms for computing eigenvalues and eigenvectors of quantum spin chains. In particular, we will examine efficient algorithms for computing interior eigenvalues of a finite size disordered spin chain with short range interactions. We will also examine algorithms for computing the ground state of a translational invariant spin chain with infinite number of spins. One way to solve such a problem is to use an infinite translational invariant tensor ring to represent the approximation to the eigenvector to be computed and update the core of such a tensor ring through a flexible power iteration. We discuss approximations made in each step of the power iteration and how these approximations affect the convergence of the method.
