Landau and fractionalized theories of periodically driven intertwined orders

TL;DR

This paper explores how periodic external fields influence phase diagrams of intertwined orders using Landau and fractionalized theories, revealing complex long-term behaviors including oscillations and chaos.

Contribution

It introduces a comprehensive analysis of driven intertwined order theories, comparing conventional Landau and fractionalized models in the large N limit with bath coupling.

Findings

Identification of various long-time behaviors under periodic driving

Demonstration of non-zero averages and oscillatory phenomena

Observation of quasi-periodic and chaotic dynamics

Abstract

We obtain the phase diagrams of field theories of intertwined orders in the presence of periodic driving by an external field which preserves all symmetries. We consider both a conventional Landau theory of competing orders, and a fractionalized theory in which the order parameters are distinct composites of an underlying multi-component Higgs field. We work in the large $N$ limit and couple to a Markovian bath. The long time limits are characterized by non-zero average values, oscillations with the drive period and/or half the drive period, quasi-periodic oscillations, or chaotic behavior.