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 AdS5 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. Published by the American Physical Society 2025

中文翻译：

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带电限制全息背景上闭合弦的经典混沌和量子混沌


我们讨论了最近构建的带电限制全息背景上闭合弦的经典混沌和量子混沌。限制背景对应于带电孤子，它是最小 d=5 规范超重力的解。该解决方案具有一个紧凑的类空间方向，圆上有一条 Wilson 线，与具有平面边界的 AdS5 渐近线。对于经典情况，我们使用功率谱、庞加莱截面和 Lyapunov 指数分析混沌，发现能量和电荷都对增强系统的混沌性质起建设性影响。我们同样使用光谱的水平间隔和无序相关器的分布来分析量子混沌，并彻底研究电荷和能量的影响。随着能量和电荷从低值增加到高值，从混沌状态逐渐过渡到可积状态，其中电荷起次要作用。 美国物理学会 2025 年出版