Towards a Floquet-Network Theory of Non-Reciprocal Transport

TL;DR

This paper introduces a Floquet-network theoretical framework that explains how periodic driving can induce non-reciprocal transport by controlling multipath scattering and interference effects.

Contribution

It develops a novel Floquet network approach in an extended Hilbert space to design driving schemes for tailored non-reciprocal transport.

Findings

Framework links Floquet network properties to driving schemes

Control over narrow and broad-band non-reciprocal transport achieved

Design principles for non-reciprocal devices established

Abstract

We develop a theoretical framework that lays out the fundamental rules under which a periodic (Floquet) driving scheme can induce non-reciprocal transport. Our approach utilizes an extended Hilbert space where a Floquet network with an extra (frequency) dimension naturally arises. The properties of this network (its on-site potential and the intersite couplings) are in one-to-one correspondence with the initial driving scheme. Its proper design allows for a control of the multipath scattering processes and the associated interferences. We harness this degree of freedom to realize driving schemes with narrow or broad-band non-reciprocal transport.