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

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Hauptverfasser: Shukla, Bhaskar, Riyaz, Owais, Mahapatra, Subhash
Format: Preprint
Veröffentlicht: 2024
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author Shukla, Bhaskar
Riyaz, Owais
Mahapatra, Subhash
author_facet Shukla, Bhaskar
Riyaz, Owais
Mahapatra, Subhash
contents 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, Poincaré 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.
format Preprint
id arxiv_https___arxiv_org_abs_2411_12536
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Classical and quantum chaos of closed strings on a charged confining holographic background
Shukla, Bhaskar
Riyaz, Owais
Mahapatra, Subhash
High Energy Physics - Theory
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Chaotic Dynamics
Quantum Physics
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, Poincaré 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.
title Classical and quantum chaos of closed strings on a charged confining holographic background
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Chaotic Dynamics
Quantum Physics
url https://arxiv.org/abs/2411.12536