We theoretically study subradiant states in an array of atoms coupled to photons propagating in a one-dimensional waveguide focusing on the strongly interacting many-body regime with large excitation fill factor $f$. We introduce a generalized many-body entropy of entanglement based on exact numerical diagonalization followed by a high-order singular value decomposition. This approach has allowed us to visualize and understand the structure of a many-body quantum state. We reveal the breakdown of fermionized subradiant states with increase of $f$ with the emergence of short-ranged dimerized antiferromagnetic correlations at the critical point $f=1/2$ and the complete disappearance of subradiant states at $f>1/2$.

中文翻译：

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波导量子电动力学中多体亚辐射态的二聚化

我们从理论上研究了与在一维波导中传播的光子耦合的原子阵列中的亚辐射态，重点关注具有大激发填充因子的强相互作用多体机制 $F$. 我们引入了基于精确数值对角化的广义多体纠缠熵，然后是高阶奇异值分解。这种方法使我们能够可视化和理解多体量子态的结构。我们揭示了费米化亚辐射态随着$F$ 随着在临界点出现短程二聚反铁磁关联 $F=1/2$ 和亚辐射态的完全消失 $F>1/2$.