Pump-Probe Cavity Optomechanics with a Rotating Atomic Superfluid in a Ring

Atomic superfluids confined in a ring provide a remarkable platform to study a plethora of phenomenona associated with quantum circulation. Recently, a versatile technique based on cavity optomechanics has been proposed¹ for real-time sensing and manipulation of atomic persistent currents with minimal destruction, and in situ. Here, we utilize this system to explore the coherent interference effects created by a strong control beam². We study the influence of an atomic persistent current on the transmission spectrum of a weak probe laser in a cavity containing bosonic ring condensate. For instance, at resonance the atomic circulation produces a double-optomechanically induced transparency which can be used to find the magnitude of the winding number. However, for non-resonant conditions, probe transmission shows Fano resonances. Furthermore, we find a switching from slow to fast light caused by atomic circulation. Our results may be used for sensing, state-transfer protocols, and optical switches.

1. P. Kumar et.al., Phys. Rev. Lett. 127, 113601 (2021).

2. S. Kalita et.al., Phys. Rev. A 107, 013525 (2023).