The density matrix renormalization group (DMRG), with matrix product states (MPSs) being the underlying variational ansatz, is one of the most powerful numerical methods for studying quantum many-body systems. The Gutzwiller projected wave functions provide another important family of variational ansatz in condensed matter and quantum chemistry. In this talk I will discuss recent progress on devising methods to convert Gutzwiller projected wave functions into MPSs and using them to initialize DMRG simulations. I will show that the performance of DMRG can be drastically improved by initializing with a properly chosen Gutzwiller ansatz. This also allows to quantify the closeness of the initial Gutzwiller ansatz and the final converged state after DMRG sweeps, thereby sheds light on whether the Gutzwiller ansatz captures the essential entanglement features of the actual ground state for a given Hamiltonian.
涂鸿浩博士,Dresden University of Technology,2003年本科毕业于武汉大学物理学基地班,2009年于清华大学物理系获得博士学位,之后在德国马普量子光学所和慕尼黑大学从事博士后研究,2017年起担任德累斯顿工业大学Junior Professor。研究领域为量子多体理论,研究兴趣主要集中在探索新奇的量子态,以及发展应用于量子多体物理的解析和数值方法,包含张量网络、共形场论和严格可解模型等。