Simulation of two-boson bound states using arrays of driven-dissipative coupled linear optical resonators

TL;DR

This paper proposes a method using arrays of driven-dissipative optical resonators to simulate and analyze two-boson bound states and topological effects in one-dimensional lattices, enabling experimental detection of doublon states.

Contribution

It introduces a spectroscopic protocol leveraging driven-dissipative resonators to study two-boson physics and topological bound states in optical arrays, with practical feasibility considerations.

Findings

Detection of bulk doublon bands and edge states via transmission spectra

Observation of Feshbach resonance effects in two-body collisions

Feasibility analysis for implementation with semiconductor micropillar arrays

Abstract

We present a strategy based on two-dimensional arrays of coupled linear optical resonators to investigate the two-body physics of interacting bosons in one-dimensional lattices. In particular, we want to address the bound pairs in topologically non-trivial Su-Schrieffer-Heeger arrays. Taking advantage of the driven-dissipative nature of the resonators, we propose spectroscopic protocols to detect and tomographically characterize bulk doublon bands and doublon edge states from the spatially-resolved transmission spectra, and to highlight Feshbach resonance effects in two-body collision processes. We discuss the experimental feasibility using state-of-the-art devices, with a specific eye on arrays of semiconductor micropillar cavities.