Holography, quantum complexity and quantum chaos in different models

Dmitry Ageev,V.E Volkova,V.A Rubakov,Y.V Zhezher,V.A Matveev,D.G Levkov

doi:10.1051/epjconf/201819106006

Dmitry Ageev, V.E Volkova + Show 4 more

Open Access

https://doi.org/10.1051/epjconf/201819106006

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Abstract

This contribution to Quarks’2018 conference proceedings is based on the talk presenting papers [1, 2] at the conference. These papers are 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 at a finite chemical potential. There are numerous results stating that the chemical potential may lead to the chaos disappearance, and we confirm the results from holography.

Highlights

The last decade AdS/CFT duality provided numerous connections of quantum information theory and gravity
We investigate the effect of the chemical potential on the growth of the operator size using the recent proposal by L
The local quench in 2d CFT is the important example of the out-of-equilibrium system that has well-defined holographic dual

Summary

Introduction

The last decade AdS/CFT duality provided numerous connections of quantum information theory and gravity. This paper is devoted to the closely related topics in the recent studies of the AdS/CFT correspondence: the chaos and the quantum complexity. The scrambling time is defined as the time of the chaos onset and the scrambling is the phenomena of "informational smearing" over the system It occurs that the imprints of the chaotic behaviour could be seen on the gravity side of the system. While the most observable are scrambled at a logarithmic time the Einstein-Rosen bridge volume shows boundless and linear growth This means that the system continue to evolve in some unusual way. It is important to study this proposal in the model which is well understood in the holographic and quantum field theory frameworks and has rich entanglement dynamics to compare complexity with it.

Complexity in holography

Holographic local quench and quantum complexity

Finite chemical potential disrupts chaos

Summary