Regensburg 2025 – scientific programme
Parts | Days | Selection | Search | Updates | Downloads | Help
TT: Fachverband Tiefe Temperaturen
TT 22: Many-body Systems: Equilibration, Chaos, and Localization (joint session DY/TT)
TT 22.3: Talk
Tuesday, March 18, 2025, 14:30–14:45, H37
An estimate of the equilibration time based on the operator growth hypothesis — •Merlin Füllgraf, Jiaozi Wang, and Jochen Gemmer — Universität Osnabrück
We study the equilibration times Teq of local observables in quantum chaotic systems by considering their auto-correlation functions. Based on the recursion method, we suggest a scheme to estimate Teq from the corresponding Lanczos coefficients. We numerically find that, if an observable follows the operator growth hypothesis, a finite number of Lanczos coefficients is sufficient for a reasonable estimate of the equilibration time. This implies that equilibration occurs on a realistic time scale much shorter than the life of the universe. The numerical findings are further supported by analytical arguments.
Keywords: Quantum dynamics; Equilibration; Equilibration times; Recursion method; Operator growth hypothesis