# Krylov complexity for operators and states

- Institution: CERN
- Department: TH String Theory Seminar
- Speaker: Paweł Caputa
- Year: 2022
- Language: English
- Source: [CERN](https://videos.cern.ch/record/3010064)
- Licence: [CERN](http://copyright.web.cern.ch)
- Who can watch: Teens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

I will discuss a recent notion of complexity in quantum systems called Krylov complexity. After defining it for operators as well as for states, I will present some results which test this interesting new probe in different many-body systems. This talk will be based on arXiv: 2109.03824, 2110.10519 and 2202.06957.

## Lectures

1. [Krylov complexity for operators and states](https://invisiblenetwork.ai/learn/cern/3010064/261bd9725fde), 1 h 15 min (CERN's player)