Single-photon scattering on a strongly dressed atom

TL;DR

This paper introduces a generalized rotating-wave approximation (GRWA) method to analytically study single-photon scattering on a strongly coupled two-level system in a 1D resonator array, improving accuracy over standard methods.

Contribution

The paper develops and validates a generalized RWA approach for analyzing photon scattering in strongly coupled 1D resonator-TLS systems, extending to multiple TLSs.

Findings

GRWA provides accurate scattering amplitudes across broad parameters.

Outperforms standard adiabatic approximation when the resonator mode is off-resonance.

Method successfully extended to multiple TLSs in a 1D array.

Abstract

We develop the generalized rotating-wave approximation (GRWA) approach (Phys. Rev. Lett. 99, 173601 (2007)) to study the single-photon scattering on a two-level system (TLS) with arbitrarily strong coupling to a local mode in a one-dimensional (1D) coupled resonator array. We calculate the scattering amplitudes analytically, and the independent numerical results show that our approach works well in a broad parameter region. Especially, when the resonator mode is faroff resonance with the TLS, we obtain more reasonable results than the ones from the standard adiabatic approximation. Our approach is further extended to the cases with a 1D resonator array strongly coupled to more than one TLSs.