# Holography, quantum complexity and quantum chaos in different models

## TL;DR

This paper explores holographic approaches to understanding chaos and quantum complexity in strongly interacting, out-of-equilibrium systems, focusing on complexity proposals and the impact of chemical potential on chaos.

## Contribution

It introduces holographic complexity proposals for out-of-equilibrium CFTs and investigates how chemical potential influences chaos from a holographic perspective.

## Key findings

- Holographic complexity proposals for local perturbations out of equilibrium.
- Chemical potential can suppress chaos, confirmed holographically.
- Growth of local operator size analyzed at finite chemical potential.

## Abstract

This is the contribution to Quarks'2018 conference proceedings. This contribution is devoted to the holographic description of chaos and quantum complexity in the strongly interacting systems out of equilibrium. In the first part of the talk we present different holographic complexity proposals in out-of-equilibrium CFT following the local perturbation. The second part is devoted to the chaotic growth of the local operator size at a finite chemical potential. There are numerous results stating that the chemical potential may lead to the chaos disappearance, and we confirm these results from holographic viewpoint.