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DY: Fachverband Dynamik und Statistische Physik

DY 35: Poster: Quantum Dynamics and Many-body Systems

DY 35.1: Poster

Wednesday, March 20, 2024, 15:00–18:00, Poster D

Krylov Complexity in generic and flat band spinsystems — •Max Pieper, Jannis Eckseler, and Jürgen Schnack — Universität Bielefeld

Krylov Complexity [1] is a measure of the operator growth in quantum many-body-systems. It describes how an initial operator spreads in the Krylov-space under unitary Heisenberg time evolution. The behavior of Krylov complexity has been linked to a difference between integrability and chaos [2]. We are investigating the evolution of the Krylov complexity in generic and flat-band-systems.

[1] Daniel E. Parker et. al. Phys. Rev. X 9, 041017 (2019)

[2] E. Rabinovici et. al. JHEP07(2022)151

Keywords: Krylov complexity; Operator growth; flat band