Dresden 2026 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 53: Nonequilibrium Quantum Systems II (joint session TT/DY)

TT 53.8: Talk

Wednesday, March 11, 2026, 17:00–17:15, HSZ/0105

Lanczos-Pascal approach to correlation functions in chaotic quantum systems — •Merlin Füllgraf, Jiaozi Wang, Robin Steinigeweg, and Jochen Gemmer — University of Osnabrück, Departement of Mathematics/Computer Science/Physics, D-49076 Osnabrück, Germany

We suggest a method to compute approximations to temporal correlation functions of few-body observables in chaotic many-body systems in the thermodynamic limit based on the respective Lanczos coefficients. Given the knowledge of these Lanczos coefficients, the method is very cheap. Usually accuracy increases with more Lanczos coefficients taken into account, however, we numerically find and analytically argue that the convergence is rather quick, if the Lanczos coefficients exhibit a smoothly increasing structure. For pertinent examples we compare with data from dynamical typicality computations for large but finite systems and find good agreement if few Lanczos coefficients are taken into account. From the method it is evident that in these cases the correlation functions are well described by a low number of damped oscillations.
[1] Accepted in Phys. Rev. Lett.

Keywords: Quantum dynamics; Recursion method; Operator Growth Hypothesis; Correlation function; Quantum many-body physics