论文标题
量化违反威克定理的典型相互作用
Quantifying fermionic interactions from the violation of Wick's theorem
论文作者
论文摘要
与相互作用的系统相反,自由系统的基础状态具有高度有序的量子相关模式,如Wick的分解所见证。在这里,我们通过测量它们对Wick分解的违规行为来量化相互作用的影响。特别是,我们从费米子系统的低纠缠谱系方面表达了这种违规行为。此外,我们建立了灯芯定理违规与相互作用距离之间的关系,该距离是系统的减少密度矩阵与最接近相互作用的最佳自由模型之间的最小距离。我们的工作提供了通过可测量的量子相关性来量化物理系统中相互作用的方法。
In contrast to interacting systems, the ground state of free systems has a highly ordered pattern of quantum correlations, as witnessed by Wick's decomposition. Here, we quantify the effect of interactions by measuring the violation they cause on Wick's decomposition. In particular, we express this violation in terms of the low entanglement spectrum of fermionic systems. Moreover, we establish a relation between the Wick's theorem violation and the interaction distance, the smallest distance between the reduced density matrix of the system and that of the optimal free model closest to the interacting one. Our work provides the means to quantify the effect of interactions in physical systems though measurable quantum correlations.