论文标题
Fisher信息作为时空结构的探测:(a)ds中的相对论量子计量学
Fisher information as a probe of spacetime structure: Relativistic quantum metrology in (A)dS
论文作者
论文摘要
相对论量子计量学研究当考虑量子和相对论效应时,最大的可实现精度是估计物理量的。我们研究了(3+1) - 维特剂和抗DE保姆空间中温度的相对论量子计量学。使用iNRUH-DEWITT探测器与无质量标量场作为探针并将其视为开放量子系统,我们计算了Fisher信息以估算温度。我们研究了DS中加速度的影响以及ADS边界条件的影响。我们发现,在两个空间中,Fisher信息的现象学可以统一,并分析其对温度,检测器能隙,曲率,相互作用时间和检测器初始状态的依赖性。然后,我们确定最大化Fisher信息的估计策略,从而获得估计的精度。
Relativistic quantum metrology studies the maximal achievable precision for estimating a physical quantity when both quantum and relativistic effects are taken into account. We study the relativistic quantum metrology of temperature in (3+1)-dimensional de Sitter and anti-de Sitter space. Using Unruh-DeWitt detectors coupled to a massless scalar field as probes and treating them as open quantum systems, we compute the Fisher information for estimating temperature. We investigate the effect of acceleration in dS, and the effect of boundary condition in AdS. We find that the phenomenology of the Fisher information in the two spacetimes can be unified, and analyze its dependence on temperature, detector energy gap, curvature, interaction time, and detector initial state. We then identify estimation strategies that maximize the Fisher information and therefore the precision of estimation.