Estimate of Equilibration Times of Quantum Correlation Functions in the Thermodynamic Limit Based on Lanczos Coefficients

Author(s): Jiaozi Wang, Merlin Füllgraf, and Jochen Gemmer We study the equilibration times ${T}_{\mathrm{eq}}$ of local observables in quantum chaotic systems by considering their autocorrelation functions. Based on the recursion method, we suggest a scheme to estimate ${T}_{\mathrm{eq}}$ from the corresponding Lanczos coefficients that is expected to hold… [Phys. Rev. Lett. 135, 010403] Published Wed Jul 02, 2025