论文标题
一维退化的费米气体的多体定位，具有腔体辅助非本地准二体相互作用
Many-body localization of one-dimensional degenerate Fermi gases with cavity-assisted non-local quasiperiodic interactions
论文作者
论文摘要
一维退化的费米气体具有腔体辅助非本地准二体相互作用的定位性能。尽管腔诱导的相互作用通常是非局部性的，但事实证明，根据系统参数的不同，本征态热假说（ETH）仍然适用于我们的系统。我们还发现与不同系统参数相对应的频谱段各种，这表明应相应地改变光谱统计分析中使用的光谱范围。通过使用精确的对角度分析光谱统计数据和纠缠熵，可以在数值上识别多体定位（MBL）的特征。我们的时间演变结果进一步证实了这些特征。另外，发现在MBL相的长时间动力学上发现腔体光子的数量稳定。这样的功能不仅可以通过监测腔体泄漏的光子数量来非损害诊断MBL相，而且还利用构造设备来产生稳定数量的光子。
The localization properties of one-dimensional degenerate Fermi gases with cavity-assisted non-local quasiperiodic interactions are numerically studied. Although the cavity-induced interaction is typically nonlocal, it is proved that the eigenstate thermalization hypothesis (ETH) is still applicable in our system depending on the system parameters. We also find the segment of the spectrum corresponding to infinite effective temperature varies for different system parameters, which indicates the spectral range employed in the spectral statistical analysis should be varied accordingly. The features of many-body localization (MBL) are numerically identified by analyzing the spectral statistics and the entanglement entropy using exact diagonalization. These features are further confirmed by our time evolution results. In addition, the number of cavity photons are found stable over long time dynamics in the MBL phase. Such a feature can not only be utilized to nondestructively diagnose the MBL phase by monitoring the number of leaking photons from the cavity, but leveraged for constructing a device to produce a stable number of photons.
