反德西特时空中量子系统的（退）相干性
(De)Coherence of a quantum system in an anti-de Sitter spacetime
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中文总结 AI 辅助
研究反德西特时空中量子谐振子的相干性/退相干性，通过量子化引力子并追踪引力场得到主方程，经半马尔可夫分析计算相关方程和退相干率等，确定了两种选择规则及再相干性，还恢复了平坦时空极限。
中文摘要 AI 辅助
本文通过在具有非平凡边界条件的弯曲背景中对引力子进行量子化，研究反德西特（AdS）时空中量子谐振子的相干性/退相干性。在量子场论框架下，通过在引力场的主导阶次\(G\)和\(1 / \omega^2\)（其中\(\omega\)与谐振子的俘获频率有关）下追踪引力场，得到一个主方程。接着进行半马尔可夫分析来计算林德布拉德方程，并估计主导阶次的退相干率和选择规则，它们有两种：一种负责物质与引力子之间的局部相互作用，另一种与AdS全局曲率有关。后者决定了在特定俘获谐振子频率和全局曲率选择下量子系统的再相干性。还通过适当近似恢复了平坦时空极限。
英文摘要
In this paper, we study the coherence/decoherence of a quantum harmonic oscillator in anti-de Sitter (AdS) spacetime by quantising the graviton in a curved background with a nontrivial boundary condition. In the quantum-field-theory framework, we obtain a master equation by tracing away the gravitational field at the leading order in G and 1/omega^2, where omega is related to the trapped frequency of the harmonic oscillator. We will proceed with a semi-Markovian analysis to compute the Lindbladian equation and estimate the decoherence rate and selection rules at the leading order, which come in two kinds: one responsible for the local interaction between matter and graviton, and the other related to the AdS global curvature. The latter determines the recoherence of the quantum system for a certain choice of the trapped harmonic oscillator's frequency and the global curvature. We also demonstrate that we recover the flat spacetime limit by taking appropriate approximations.
