Chiral excitation flows of a multinode network based on synthetic gauge fields

TL;DR

This paper develops a general theory for chiral excitation flows in multinode networks with synthetic gauge fields, introducing an auxiliary node to enable unidirectional transmission and exploring applications in quantum networks.

Contribution

It proposes a universal scheme for achieving chiral flows in n-node networks, extending previous models and analyzing symmetries in bosonic and spin systems.

Findings

Identifies implicit chiral symmetry behind perfect chiral flow.

Provides universal criteria for chiral transmission in complex networks.

Demonstrates potential for remote state transfer in practical quantum systems.

Abstract

Chiral excitation flows have attracted significant attention due to their unique unidirectionality. Such flows have been studied in three-node networks with synthetic gauge fields (SGFs), but the general theory of chiral flows in multinode networks requires further research and development. In this work, we propose a scheme to achieve chiral flows in $n$-node networks, where an auxiliary node is introduced to govern the system. This auxiliary node is coupled to all the network nodes, forming subtriangle structures with interference paths in these networks. We find the implicit chiral symmetry behind the perfect chiral flow and propose the universal criteria that incorporate previous models, facilitating the implementation of chiral transmission in various networks. By investigating the symmetries within these models, we present different features of chiral flows in bosonic and spin networks. Furthermore, we extend the four-node model into a ladder network, which is promising for remote state transfer in practical systems with reduced complexity. Our scheme can be realized in state-of-the-art experimental systems, such as superconducting circuits, magnetic photonic lattices, and ultracold atoms, thereby opening up possibilities for future quantum networks.