Chiral edge states in position shaken finite-size honeycomb optical lattice

TL;DR

This paper demonstrates the simulation of Floquet system's chiral edge states in a position shaken finite-size honeycomb optical lattice, revealing topological phases, edge state dynamics, and boundary excitations.

Contribution

It introduces a new scheme to simulate chiral edge states in Floquet systems using position shaken honeycomb optical lattices, highlighting topological phase transitions.

Findings

Chiral edge states appear on different sides depending on the topological phase.

Topological phase transitions induce gapless boundary excitations.

Periodical shaking breaks time reversal symmetry, creating non-trivial topological states.

Abstract

The quantum anomalies at the edges correspond to the topological phases in the system, and the chiral edge states can reflect bulk bands' topological properties. In this paper, we demonstrate a simulation of Floquet system's chiral edge states in position shaken finite-size honeycomb optical lattice. Through the periodical shaking, we break the time reversal symmetry of the system, and get the topological non-trivial states with non-zero Chen number. At the topological non-trivial area, we find chiral edge states on different sides of the lattice, and the locations of chiral edge states change with the topological phase. Further, gapless boundary excitations are found to appear at the topological phase transition points. It provides a new scheme to simulate chiral edge states in the Floquet system, and promotes the study of gapless boundary excitations.