School of Particles and Accelerators
Wednesday Weekly Seminar – Virtual Format

Date:
Wednesday, Jan 22, 2025 / چهارشنبه ، 3 بهمن 1403

Time:
11:00 AM - 12:00 PM (Tehran time)

Speaker:
Dr. Mohammad Javad Vasli


Affiliation:
School of Nano Science, IPM

Title:
Krylov Complexity as a Probe for Chaos

Title in Persian:
پیچیدگی کریلوف به عنوان یک سنجه‌ برای شناسایی آشوب


Abstract:
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.

Indico Link: https://indico.hep.ipm.ir/e/m.vasli

Link to Join Virtually: https://www.skyroom.online/ch/ipm-particles/weekly-seminar