Mixing Time of Local Hamiltonians: Rapid State Preparation via Dissipative Dynamics

Watch a 48-minute lecture from the Simons Institute where Yongtao Zhan from Caltech explores groundbreaking research on mixing times in local Hamiltonian models. Delve into the numerical study of mixing time in 1D local Hamiltonian models used in condensed matter physics, with a focus on preparing ground and thermal states through open system evolution simulation. Learn about evidence supporting fast mixing in non-commuting quantum systems and discover how ground states of quantum systems can be prepared through brief open system evolution simulations. Part of the Mathematical Challenges of Quantum Algorithms for Open Quantum Systems series, this presentation offers valuable insights into state preparation via dissipative dynamics.