Optomechanically induced transparency on exceptional surfaces

Exceptional points (EPs) are singularities in non-Hermitian systems where the transmission spectrum exhibits significant variation at the phase transition point. Here, we propose a practical method for investigating the optomechanically induced transparency spectrum in a non-Hermitian cavity optomechanical system. By exploiting two kinds of exceptional surfaces (ESs) derived from the design of the waveguide structure, we study the transmission spectra and fast-slow light phenomena at various EPs on these ESs, and we identify ES-protected transmission spectra that are robust to parameter fluctuations. Consequently, the system exhibits a complete reversal of both transmission and fast-slow light behavior at EPs compared with those at non-EPs when the phase transition occurs. Unlike previous studies that focus solely on an isolated EP, our approach enables the exploration of system characteristics with different EPs, providing greater flexibility for experimental design.