Classical and quantum chaos of closed strings on a charged confining holographic background

TL;DR

This paper investigates classical and quantum chaos in closed strings within a charged confining holographic background, revealing how energy and charge influence the transition between chaotic and integrable regimes.

Contribution

It provides a detailed analysis of how charge and energy affect chaos in a holographic confining background, including classical and quantum perspectives.

Findings

Charge and energy enhance classical chaos.

Quantum level-spacing distributions indicate chaos-to-integrability transition.

Charge has a subdominant effect compared to energy.

Abstract

We discuss the classical and quantum chaos of closed strings on a recently constructed charged confining holographic background. The confining background corresponds to the charged soliton, which is a solution of minimal $d=5$ gauged supergravity. The solution has a compact spacelike direction with a Wilson line on a circle and asymptotes to $AdS_5$ with a planar boundary. For the classical case, we analyze the chaos using the power spectrum, Poincar\'{e} sections, and Lyapunov exponents, finding that both energy and charge play constructive effects on enhancing the chaotic nature of the system. We similarly analyze quantum chaos using the distribution of the spectrum's level-spacing and out-of-time-ordered correlators and thoroughly investigate the effects of charge and energy. A gradual transition from a chaotic to an integrable regime is obtained as the energy and charge increase from lower to higher values, with charge playing a subdominant role.