The APDE seminar on Monday, 11/4, will be given by Zhenhao Li (MIT) in-person in Evans 740, and will also be broadcasted online via Zoom from 4:10pm to 5:00pm PST. To participate, please email Federico Pasqualotto () or Mengxuan Yang ().

Title: Quantum–classical correspondence past Ehrenfest time

Abstract: The evolution of a quantum system coupled to an external environment can be described by the Lindblad master equation. We consider such systems described by an at most quadratically growing classical Hamiltonian and self-adjoint jump operators (satisfying certain growth and nondegeneracy conditions). The classical counterpart to the Lindblad equation is given by a corresponding Fokker–Planck equation. We show that the quantum evolution remains close to the quantization of the classical evolution in trace norm for much longer than Ehrenfest time. The time of correspondence and the trace norm comparison improves upon recent works by Galkowski–Zworski and Hern{\’a}ndez–Ranard–Riedel in the constant to strong coupling strength regime.