Design algorithms of driving-induced nonreciprocal components

TL;DR

This paper presents a novel method for designing driving-induced non-reciprocal components using an effective Hamiltonian formalism within the Floquet scattering framework, effective across different driving regimes.

Contribution

It introduces a minimal complexity design approach for non-reciprocal components that works in both high and slow driving frequency regimes.

Findings

Non-reciprocal performance inversely proportional to driving frequency in high-frequency limit.

Optimal non-reciprocal behavior persists in slow driving regime.

Physical loops are crucial in the design of driven non-reciprocal components.

Abstract

We utilize an effective Hamiltonian formalism, within the Floquet scattering framework, to design a class of driving-induced non-reciprocal components with {\it minimal} complexity. In the high driving-frequency limit, where our scheme is formally applicable, these designs demonstrate a leading order non-reciprocal performance which is inverse proportional to the driving frequency. Surprisingly, the optimal non-reciprocal behavior persists also in the slow driving regime. Our approach highlights the importance of physical loops in the design of these driven non-reciprocal components.