The confluence of fractured resonances at points of dynamical, many--body flare

TL;DR

This paper explores how fractured resonances in a driven many-body lattice can dramatically enhance transport, revealing complex interactions between driving frequency, interactions, and internal scattering surfaces.

Contribution

It uncovers the phenomenon of fractured resonances and their confluence in many-body systems, demonstrating their impact on transport efficiency and system conductance.

Findings

Fractured resonances originate from internal scattering surfaces.

Confluence of resonances significantly boosts transport.

Interaction effects interplay with driving frequency to create essential resonances.

Abstract

Resonant transport occurs when there is a matching of frequencies across some spatial medium, increasing the efficiency of shuttling particles from one reservoir to another. We demonstrate that in a periodically driven, many--body titled lattice, there are sets of spatially fractured resonances. These ``emanate'' from two essential resonances due to scattering off internal surfaces created when the driving frequency and many--body interaction strength vary, a scattering reminiscent of lens flare. The confluence of these fractured resonances dramatically enhances transport. At one confluence, the interaction strength is finite and the essential resonance arises due to the interplay of interaction with the counter--rotating terms of the periodic drive. We discuss the origin and structure of the fractured resonances, as well as the scaling of the conductance with system parameters. These results furnish a new example of the richness of open, driven, many--body systems.