Floquet Engineering in 1D Non-Hermitian Model

Topological properties of non-hermitian and periodically driven (floquet) systems have attacted great attention in recent years. Here, I find we can introduce robust topological edge state in 1D non-hermitian time-periodic system while its static counterpart is trivial. Also when we adjust the frequency of the outer driving within the regime around the bandwidth Δ, topological phase transition of the system has a similar behavior with the Hermitian counterpart[1]. This will help us understand non-hermitian and floquet systems better.

[1]Dal Lago, V. , M. Atala , and L. E. F. Foa Torres . "Floquet topological transitions in a driven one-dimensional topological insulator." Phys. Rev. A 92(2),023624(2015).