发表机构
School of Science, Guangxi University of Science and Technology; Department of Physics, Institute of Fundamental Physics and Quantum Technology, Ningbo University; Department of Applied Physics, College of Science, China Agricultural University（广西科技大学理学院; 宁波大学物理系基础物理与量子技术研究所; 中国农业大学理学院应用物理系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文通过圆弦的量子涨落探测虫洞喉附近的量子混沌，利用OTOC振幅分析，发现两种虫洞几何中均存在有限时间指数增长，并提出了可转移的非全息诊断框架。
AI 中文摘要
我们研究了圆探针弦的量子涨落在穿越虫洞喉时是否会产生量子混沌响应。经典圆弦嵌入是周期性的且径向稳定，但其两个物理横向极化经历随时间变化的潮汐势。将世界面作用量展开至二次阶，我们正则量子化这些模式，并从它们的不等时对易子构造出时间有序关联函数（OTOC）振幅。对于Ellis--Bronnikov虫洞，两种极化在首次穿越喉部期间均表现出有限区间的近似指数OTOC增长。相应的无量纲速率（相对于物理时间测量）在所研究的参数范围内为正，并且通常随着探针能量相对于喉部尺度的增加而减小。在全球单极子扩展中，增加立体角缺陷会缩小局部可放大模式的频带并抑制提取的速率；足够强的缺陷几乎可以熄灭径向信号，而角向通道在能量与喉部尺度之比小时保持依赖于极化的非单调结构。这些量表征了高斯涨落扇区中的有限时间动力学敏感性，不应将其视为渐近多体混沌或热力学相变。尽管数值分析使用了两种代表性的虫洞几何，但该构造仅依赖于协变世界面涨落和实时对易子。因此，它提供了一个可转移的、非全息的框架，可直接将量子混沌诊断应用于弯曲时空中的量子探针。
英文摘要
We investigate whether quantum fluctuations of a circular probe string develop a quantum-chaotic response while traversing a wormhole throat. The classical circular-string embedding is periodic and radially stable, but its two physical transverse polarizations experience time-dependent tidal potentials. Expanding the world-sheet action to quadratic order, we canonically quantize these modes and construct out-of-time-ordered correlator(OTOC) amplitudes from their unequal-time commutators. For the Ellis--Bronnikov wormhole, both polarizations exhibit finite intervals of approximately exponential OTOC growth associated with the first throat passage. The corresponding dimensionless rate measured with respect to physical time is positive over the parameter range studied and generally decreases as the probe energy is increased relative to the throat scale. In the global-monopole extension, increasing the solid-angle deficit narrows the band of locally amplifiable modes and suppresses the extracted rates; a sufficiently strong defect can nearly quench the radial signal, while the angular channel retains a polarization-dependent non-monotonic structure when the energy-to-throat-scale ratio is small. These quantities characterize finite-time dynamical sensitivity in the Gaussian fluctuation sector and should not be identified with asymptotic many-body chaos or a thermodynamic phase transition. Although the numerical analysis uses two representative wormhole geometries, the construction depends only on covariant world-sheet fluctuations and real-time commutators. It therefore provides a transferable, non-holographic framework for applying quantum-chaos diagnostics directly to quantum probes in curved spacetimes.
Comments34 pages, 9 figures
