Abstract

Here we discuss the optimization of mixing in finite linear and circular Rudner–Levitov lattices (Su–Schrieffer–Heeger lattices with a dissipative sublattice). We show that the presence of exceptional points in the systems’ spectra can lead to drastically different scaling of the mixing time with the number of lattice nodes, varying from quadratic to logarithmic. When operating in the region between maximal and minimal exceptional points, it is always possible to restore logarithmic scaling by choosing the initial state of the chain. Moreover, for the same localized initial state and values of parameters, a longer lattice might mix much faster than the shorter one. Also we demonstrate that an asymmetric circular Rudner–Levitov lattice can preserve logarithmic scaling of the mixing time for an arbitrarily large number of lattice nodes.

© 2023 Optica Publishing Group

Transmission through a one-dimensional photonic lattice modulated by the side-coupled PT-symmetric non-Hermitian Su–Schrieffer–Heeger chain

Piao-Piao Huang, Jing He, Jia-Rui Li, Hai-Na Wu, Lian-Lian Zhang, Zhao Jin, and Wei-Jiang Gong
J. Opt. Soc. Am. B 38(4) 1331-1340 (2021)

Non-Hermitian photonic lattices: tutorial

Qiang Wang and Y. D. Chong
J. Opt. Soc. Am. B 40(6) 1443-1466 (2023)

Discrete Talbot effect in modulated lattices with PT symmetric perturbations

Xinyue Kang, Hao Wang, Lichao Dou, Qixuan Chen, Qian Zhang, Tingjun Zhao, and Kaiyun Zhan
J. Opt. Soc. Am. B 40(4) 856-861 (2023)

Flat bands and quasi-bound states in the continuum in a photonic Moiré lattice

Ibrahim Nasidi, Ran Hao, ShangZhong Jin, and Erping Li
J. Opt. Soc. Am. B 40(2) 260-265 (2023)

Phase engineering in overlapping lattices of polarization singularities

Sushanta Kumar Pal, Manisha, and P. Senthilkumaran
J. Opt. Soc. Am. B 40(7) 1830-1836 (2023)