Topological characterization of chiral models through their long time dynamics

Understand

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 bulk observable, the mean chiral displacement.
• The derivation of this result is done in terms of spectral projectors, allowing for a detailed understanding of the physics.
• We show that the proposed detection converges rapidly and it can be implemented in a wide class of chiral systems.