Floquet engineering of electric polarization with two-frequency drive

TL;DR

This paper introduces a method to dynamically induce and control electric polarization in solids using two-frequency light fields, leveraging Floquet theory to manipulate symmetry and polarization in various lattice models.

Contribution

It presents a novel Floquet engineering approach to control electric polarization via bicircular light fields, expanding the toolkit for dynamical symmetry and polarization manipulation.

Findings

Bicircular lights control rotational symmetry and induce polarization.

Effective Hamiltonian derived using high frequency expansions.

Demonstrated polarization control in multiple lattice models.

Abstract

Electric polarization is a geometric phenomenon in solids and has a close relationship to the symmetry of the system. Here we propose a mechanism to dynamically induce and manipulate electric polarization by using an external light field. Specifically, we show that application of bicircular lights (BCLs) control the rotational symmetry of the system and can generate electric polarization. To this end, we use Floquet theory to study a system subjected to a two-frequency drive. We derive an effective Hamiltonian with high frequency expansions, for which the electric polarization is computed with the Berry phase formula. We demonstrate the dynamical control of polarization for a one-dimensional SSH chain, a square lattice model, and a honeycomb lattice model.