论文标题
常规原子阵列的次级发射:广义Bloch定理的衰减速率的通用缩放率
Subradiant emission from regular atomic arrays: universal scaling of decay rates from the generalized Bloch theorem
论文作者
论文摘要
在两级原子的无限周期性阵列中,偶极 - 偶极相互作用的Hermitian部分产生了单个激发态的能带。 In this Letter, we show that a dispersion relation, $ω_k-ω_{k_\ex} \propto (k-k_{\ex})^s$, near the band edge of the infinite system leads to the existence of subradiant states of finite one-dimensional arrays of $N$ atoms with decay rates scaling as $N^{-(s+1)}$.这解释了最近发现的$ n^{ - 3} $缩放,并导致对晶格期的特殊值进行更高功率的幂律缩放的预测。为了在二聚发射器阵列中的su-schrieffer-heeger(SSH)拓扑模型的量子光学实现,拓扑转换固有的带隙关闭式闭合,改变了分散关系中$ s $的值,并在许多范围内改变了子弹状态的衰减速率。
The Hermitian part of the dipole-dipole interaction in infinite periodic arrays of two-level atoms yields an energy band of singly excited states. In this Letter, we show that a dispersion relation, $ω_k-ω_{k_\ex} \propto (k-k_{\ex})^s$, near the band edge of the infinite system leads to the existence of subradiant states of finite one-dimensional arrays of $N$ atoms with decay rates scaling as $N^{-(s+1)}$. This explains the recently discovered $N^{-3}$ scaling and it leads to the prediction of power law scaling with higher power for special values of the lattice period. For the quantum optical implementation of the Su-Schrieffer-Heeger (SSH) topological model in a dimerized emitter array, the band-gap-closing inherent to topological transitions changes the value of $s$ in the dispersion relation and alters the decay rates of the subradiant states by many orders of magnitude.