德西特空间中观察者关联器的反扰乱与欧几里得折叠
Anti-scrambling and euclidean folds from observer correlators in de Sitter space
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中文总结 AI 辅助
研究德西特空间量子描述难题，通过引力计算收集数据发现反扰乱现象。利用观察者世界线关联函数讨论，其中四点函数呈现反扰乱。提出用欧几里得时间折叠关联器，在特定量子系统实现反扰乱。
中文摘要 AI 辅助
德西特视界的行为与黑洞视界有质的不同，这给构建德西特空间的基本量子描述带来挑战。本文利用引力计算收集相关‘数据’，发现存在与标准多体量子系统行为相反的‘反扰乱’现象。通过计算时空中观察者世界线上的关联函数进行讨论，两点函数类似传统热关联函数，四点函数呈现反扰乱。我们提出，利用欧几里得时间折叠的关联器，可在哈密顿量有上下界的量子系统中实现反扰乱。
英文摘要
The de Sitter horizon behaves in a qualitatively different way from a black hole horizon, which poses a challenge to any attempt to develop a fundamental quantum description of de Sitter space. In this paper we gather some ``data'' on this problem using gravitational calculations, seeing that they lead to an ``anti-scrambling'' phenomenon that is contrary to the behavior of standard many-body quantum systems. We organize our discussion in terms of correlation functions computed on the worldline of an observer living in the spacetime, with the two-point function looking like a conventional thermal correlator but the four-point function showing anti-scrambling. We propose that anti-scrambling can be realized in a quantum system whose Hamiltonian is bounded from both above and below using correlators that are folded in Euclidean time.
