Wednesday weekly meeting

Wednesday 22 Jan 2025, 11:00 → 12:00 Asia/Tehran

Gholamhossein Haghighat (IPM)

General weekly meeting of the school of particles and accelerators (virtual format)

• Link to join virtually: https://www.skyroom.online/ch/ipm-particles/weekly-seminar

1 Krylov Complexity as a Probe for Chaos

In this talk, I will explore the use of Krylov complexity as a diagnostic tool for understanding the chaotic nature of quantum systems. The concept of Krylov complexity is introduced within the framework of the Lanczos algorithm, allowing us to study the system's dynamics in a finite Krylov subspace. By analyzing the time evolution and saturation of complexity, it is possible to demonstrate how it distinguishes between chaotic and integrable many-body systems. These distinctions will be illustrated with numerical results from spin models, providing insights into the interplay between Krylov complexity and quantum chaos.

Speaker: Dr Mohammad Javad Vasli (School of Nano Science, IPM)