论文标题
渔民的黑洞时空信息
Fisher Information of a Black Hole Spacetime
论文作者
论文摘要
相对论量子计量学是对具有量子和相对论组成部分的系统中最佳测量程序的研究。在这里，我们将耦合到无质量标量场耦合的Unruh-Dewitt检测器通过相对论量子计量分析在不同的空间中作为热参数的探针。我们考虑（2+1） - 维度抗DE保姆和BTZ黑洞空位。我们计算Fisher信息以识别黑洞时空的特征，并将其与反DE保姆空间中均匀加速的检测器进行比较。我们发现Fisher信息对温度，检测器能隙，黑洞质量，相互作用时间和检测器的初始状态的依赖性。我们确定最大化Fisher信息的策略，从而确定估计的精度。
Relativistic quantum metrology is the study of optimal measurement procedures within systems that have both quantum and relativistic components. Here we use Unruh-DeWitt detectors coupled to a massless scalar field as probes of thermal parameters in different spacetimes via a relativistic quantum metrology analysis. We consider both (2+1)-dimensional anti-de Sitter and BTZ black hole spacetimes. We compute the Fisher information to identify characteristics of the black hole spacetime and to compare it to a uniformly accelerating detector in anti-de Sitter space. We find the dependence of the Fisher information on temperature, detector energy gap, black hole mass, interaction time, and the initial state of the detector. We identify strategies that maximize the Fisher information and therefore the precision of estimation.
