Abstract
Periodically driven non-Hermitian systems could possess exotic nonequilibrium phases with unique topological, dynamical, and transport properties. In this work, we introduce an experimentally realizable two-leg ladder model subjecting to both time-periodic quenches and non-Hermitian effects, which belongs to an extended CII symmetry class. Due to the interplay between drivings and nonreciprocity, rich non-Hermitian Floquet topological phases emerge in the system, with each of them characterized by a pair of even-integer topological invariants . Under the open boundary condition, these invariants further predict the number of zero- and -quasienergy modes localized around the edges of the system. We finally construct a generalized version of the mean chiral displacement, which could be employed as a dynamical probe to the topological invariants of non-Hermitian Floquet phases in the CII symmetry class. Our work thus introduces a new type of non-Hermitian Floquet topological matter, and further reveals the richness of topology and dynamics in driven open systems.
Highlights
Non-Hermitian states of matter have attracted great attention in recent years due to their intriguing dynamical and topological properties
According to the symmetry classification of Floquet systems [87] and the periodic table of non-Hermitian topological phases [9,11], the non-Hermitian periodically quenched two-leg ladder (PQTLL) model belongs to an extended CII symmetry class with even-integer topological invariants
We introduced a periodically quenched two-leg ladder model subjecting to nonreciprocal inter-leg hoppings
Summary
Non-Hermitian states of matter have attracted great attention in recent years due to their intriguing dynamical and topological properties (see [1,2,3,4,5,6,7,8] for reviews). Entropy 2020, 22, 746 two dynamical tools to extract the topological invariants of non-Hermitian Floquet systems [49,50,51,53] These discoveries extend the boundary of nonequilibrium phases of matter to driven non-Hermitian systems, and shed light on new approaches for the detection of their intriguing features.
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