论文标题
在两个半空间中可观察到的空间相关性，由可移动的完美镜子隔开
Spatial correlations of field observables in two half-spaces separated by a movable perfect mirror
论文作者
论文摘要
我们考虑了一个由有限质量的反射边界隔开的两个空腔的系统，该系统可以自由移动，并通过谐波电位界定到其平衡位置。这产生了有效的镜像相互作用，以及可移动边界介导的场模式之间的有效相互作用。每个腔中定义了两个无质量标量场。我们考虑系统的二阶相互作用基态，其中包含镜像自由度和标量场的虚拟激发。我们研究了两个空腔中的场观测值之间的相关功能，并发现在相互作用的基态下两个空腔中的平方标量场是反相关的。我们讨论了相关性对从镜像平均位置以及其质量和振荡角频率的两个点距离的依赖性。这些结果表明，通过其位置波动介导的两个半空间之间的交流。讨论了这种新现象的可观察性，该现象利用可极化物体之间的两种或多体分散体相互作用。还讨论了引入临界频率的依赖性，以使频率积分正规化以及真实导体的情况。
We consider a system of two cavities separated by a reflecting boundary of finite mass that is free to move, and bounded to its equilibrium position by a harmonic potential. This yields an effective mirror-field interaction, as well as an effective interaction between the field modes mediated by the movable boundary. Two massless scalar fields are defined in each cavity. We consider the second-order interacting ground state of the system, that contains virtual excitations of both mirror's degrees of freedom and of the scalar fields. We investigate the correlation functions between field observables in the two cavities, and find that the squared scalar fields in the two cavities, in the interacting ground state, are anticorrelated. We discuss the dependence of the correlation on the distance of the two points considered from the mirror's average position and on its mass and oscillation angular frequency. These results show a sort of communication between the two half-spaces separated by the movable mirror, mediated by its position fluctuations. Observability of this new phenomenon exploiting two- or many-body dispersion interactions between polarizable bodies is discussed. The dependence on a cutoff frequency introduced to regularize the frequency integrations, as well as the case of a real conductor, are also discussed.
