中国科学院物理研究所

报告地点：M楼830

报告摘要：

In this talk, I present what I believe is a methodological breakthrough for simulating real-time quantum dynamics in two dimensions using projected entangled pair states (PEPS). The approach combines PEPS with time-dependent variational Monte Carlo (tVMC) to evolve many-body states under a Hamiltonian in a stable and efficient manner. I will illustrate the power of the method through four examples: (I) chiral edge propagation in a free-fermion Chern insulator; (II) fractionalized charge transport in a fractional Chern insulator; (III) vison confinement dynamics in the Higgs phase of a Z2 lattice gauge theory; and (IV) superfluidity and critical velocity in interacting bosons. All simulations are performed on 12x12 or 13x13 lattices with evolution times T = 10–12, using only modest computational resources (1–5 days on a single GPU). Where exact benchmarks are available (case I), PEPS–tVMC reproduces free-fermion dynamics with high accuracy up to T = 12. I will explain how the longstanding difficulties of PEPS-based real-time evolution are naturally resolved within the tVMC framework. These developments open up exciting possibilities for further applications and extensions. I welcome comments and discussion from colleagues during or after the talk.

Reference: arXiv:2512.06768