标题： 宇宙引力子的最大频率 显示英文标题

标题： The maximal frequency of cosmic gravitons

摘要： 我们证明了宇宙引力子的最大频率不能超过太赫兹（THz）频域。 从经典的角度来看，在传统的暴胀场景和反弹模型中，谱的最大频率即使在其特定标志依赖于模型的情况下，也超过了兆赫（MHz）频段。 然而，根据量子力学的观点，最大频率与产生一对具有相反（共动）三动量的引力子的能量范围相关联。 最大频率的上限决定了在太赫兹频段直接探测宇宙信号所需的最小啁啾幅度[通常为${\mathcal O}(10^{-32})$]。 在这个限制频率以下，最小啁啾幅度可以增强，因此最终的最佳范围取决于弥散背景的物理特性。 如果一种假设的仪器（目前只是充满希望的想象产物）能够在兆赫（MHz）或千兆赫（GHz）频段达到${\mathcal O}(10^{-30})$的啁啾幅度，那么玻色-爱因斯坦关联可以用来探测宇宙引力子及其超泊松统计性质。 显示英文摘要

摘要： We show that the maximal frequency of cosmic gravitons must not exceed the THz domain. From a classical viewpoint, both in conventional inflationary scenarios and in bouncing models the largest frequency of the spectrum overshoots the MHz band even if its specific signature is model dependent. According to a quantum mechanical perspective the maximal frequency is instead associated with the range of energies where a single pair of gravitons with opposite (comoving) three-momenta is produced. The upper limit on the largest frequency determines the minimal chirp amplitude [typically ${\mathcal O}(10^{-32})$] required for a direct detection of a cosmic signal in the THz band. Below this limiting frequency the minimal chirp amplitude can be enhanced so that the optimal range ultimately depends on the physical properties of the diffuse backgrounds. In case a hypothetical instrument (at present just a figment of a hopeful imagination) would reach chirp amplitudes down to ${\mathcal O}(10^{-30})$ in the MHz or GHz bands, the Bose-Einstein correlations could be used to probe the properties of cosmic gravitons and their super-Poissonian statistics.