Derevyanko Stanislav
School of Electrical and Computer Engineering, Ben Gurion University of the Negev, Beer Sheva, 84105, Israel.
Sci Rep. 2019 Sep 9;9(1):12883. doi: 10.1038/s41598-019-49259-x.
We consider a discrete time evolution of light in dissipative and disordered photonic lattice presenting a generalization of two popular non-Hermitian models in mathematical literature: Hatano-Nelson and random clock model and suggest a possible experimental implementation using coupled fiber loops. We show that if the model is treated as non-unitary Floquet operator rather than the effective Hamiltonian the combination of controlled photon loss and static phase disorder leads to pulse stabilization in the ring topology. We have also studied the topological invariant associated with the system and found additional evidence for the absence of Anderson transition.
我们考虑了光在耗散和无序光子晶格中的离散时间演化，提出了数学文献中两种流行的非厄米模型的推广：哈塔诺 - 尼尔森模型和随机时钟模型，并提出了一种使用耦合光纤环的可能实验实现方案。我们表明，如果将该模型视为非酉弗洛凯算子而非有效哈密顿量，那么受控光子损失和静态相位无序的组合会导致环形拓扑中的脉冲稳定。我们还研究了与该系统相关的拓扑不变量，并找到了不存在安德森转变的额外证据。
