Analytical control of the exchange interaction in periodically driven Mott insulators

TL;DR

This paper provides an analytical framework for controlling exchange interactions in periodically driven Mott insulators, enabling reversible manipulation of electronic properties on ultrafast timescales.

Contribution

It introduces exact summation formulas and Bessel functions to accurately characterize modulated effective interactions in driven Mott insulators.

Findings

Analytical determination of time reversals via Bessel zeroes.

Characterization of effective interactions in Hubbard and multi-orbital models.

Discussion of chiral spin terms emergence in driven systems.

Abstract

The manipulation of electronic structure through periodic electric fields enables the reversible control of effective interactions in extended antiferromagnetic Mott insulators on ultrafast timescales. A careful analytical examination of the modulated effective interactions is conducted, accurately characterising it through the use of exact summation formulas and Bessel functions. As a result, time reversals are analytically determined in terms of Bessel zeroes. We discuss the half-filled Hubbard model, as well as multi-orbital models, various characteristics of the Kitaev-Heisenberg model, and the emergence of chiral spin terms.