标题： 腔体中运动边界下的模拟霍金辐射的鲁棒性 显示英文标题

标题： Robustness of analogue Hawking radiation in cavities with moving boundaries

摘要： 在本工作中，我们探讨了动态卡西米尔系统中热辐射的局限性和鲁棒性，这些系统作为霍金辐射的类比。 通过详细的数值分析，我们表征了在不同配置下具有移动边界的腔体中的粒子产生谱，包括膨胀、坍缩和刚性加速情形。 我们发现，在特定的膨胀腔配置中会出现热信号，但这些信号高度依赖于频率带和加速度参数。 在存在热产生的腔配置中，我们推导出拟合表达式，通过灰体因子量化与理想热谱的偏差，揭示了与加速持续时间相关的振荡行为。 我们的结果确定了哪些实验设置可以可靠地模拟引力引起的现象，并量化了有限尺寸效应和瞬态动力学如何修改预期的热分布，为区分真实的霍金样辐射与实验伪影提供了全面的框架。 显示英文摘要

摘要： In this work we explore the limitations and robustness of thermal radiation in dynamical Casimir systems serving as analogs for Hawking radiation. Through detailed numerical analysis, we characterize particle production spectra in cavities with moving boundaries under various configurations, including expanding, collapsing, and rigidly accelerating scenarios. We find that thermal signatures emerge in specific expanding cavity configurations but are highly dependent on frequency bands and acceleration parameters. In those configurations of the cavity where there is thermal production, we derive fitting expressions that quantify deviations from idealized thermal spectra through gray-body factors, revealing oscillatory behaviors tied to acceleration duration. Our results identify which experimental setups can reliably simulate gravitationally-induced phenomena and quantify how finite-size effects and transient dynamics modify the expected thermal distributions, providing a comprehensive framework for distinguishing genuine Hawking-like radiation from experimental artifacts.