There have been significant recent advances in realizing band structures with geometrical
and topological features in experiments on cold atomic gases. This review summarizes …

The past few years have witnessed a surge of interest in non-Hermitian Floquet topological
matter due to its exotic properties resulting from the interplay between driving fields and non …

We unveil the geometrical meaning of winding number and utilize it to characterize the
topological phases in one-dimensional chiral non-Hermitian systems. While chiral symmetry …

We report the experimental detection of bulk topological invariants in nonunitary discrete-
time quantum walks with single photons. The nonunitarity of the quantum dynamics is …

Topological states of matter in non-Hermitian systems have attracted a lot of attention due to
their intriguing dynamical and transport properties. In this paper, we propose a periodically …

We study chiral models in one spatial dimension, both static and periodically driven. We
demonstrate that their topological properties may be read out through the long time limit of a …

A prominent feature of some one-dimensional non-Hermitian systems is that all right
eigenstates of the non-Hermitian Hamiltonian are localized in one end of the chain. The …

We reveal an intriguing manifestation of topology, which appears in the depletion rate of
topological states of matter in response to an external drive. This phenomenon is presented …

The usual Su-Schrieffer-Heeger model with an even number of lattice sites possesses two
degenerate zero-energy modes. The degeneracy of the zero-energy modes leads to the …

We devise a generic and experimentally accessible recipe to prepare boundary states of
topological or nontopological quantum systems through an interplay between coherent …