Spectrum of Single-Photon Scattering in a Strong-Coupling Hybrid Optomechanical System

TL;DR

This paper theoretically investigates the single-photon spectra in a strong-coupling hybrid optomechanical system, revealing how spectral features can probe quantum interactions and enable TLS state tomography.

Contribution

It introduces a detailed analysis of single-photon spectra in a hybrid system with strong couplings, highlighting new methods to characterize and reconstruct quantum states.

Findings

Spectral fine structures reveal TLS-MR and TLS-photon couplings.

Single-photon spectra can be used to probe the quantum nature of mechanical elements.

Proposes a method for TLS state tomography using transmission spectra.

Abstract

We analyze theoretically the single-photon excitation and transmission spectra of a strong-coupling hybrid optomechanics, where a two-level system (TLS) is coupled to the mechanical resonator (MR), generating the Jaynes-Cummings-type polariton doublets. In our model, both the optomichanical coupling and the TLS-MR coupling are strong. In this parameter region, the polaron-assisted excitation and reemission processes can strongly affect the single-photon excitation and output spectra of the cavity. We find that the fine structure around each sideband can be used to characterize the TLS-MR and the effective TLS-photon couplings, even at single-quantum level. Thus, the spectrum structures may make it possible to sensitively probe the quantum nature of a macroscopic mechanical element. We further provide a possible approach for tomographic reconstruction of the state of a TLS, utilizing the single-photon transmission spectra.