We review recent experimental and theoretical results of photon interferometry on rotating platforms. Quantum phenomena such as two-photon interference and entanglement can be controlled with mechanical rotations in a regime accessible to table-top experiments. We first discuss experiments demonstrating how low-frequency mechanical rotations affect the bunching behavior of frequency-entangled photon pairs. It was shown that low-frequency mechanical rotations can affect the temporal distinguishability of photons and can transform photonic behavior from perfectly indistinguishable (bosonic behavior) to perfectly distinguishable (fermionic behavior). We then give a future outlook for testing the generation of entanglement from mechanical rotation. A recent theoretical work showed that generating path-polarization entanglement from mechanical rotations could be verified with present technology. These works make a strong case for further exploration of quantum phenomena at the interface with non-inertial (rotational) motion.
Levitated optomechanics have invited growing interest partly due to their capabilities to reach high Q factors, >109, and for studies in force sensing, fluctuation theorems, nanothermodynamics and macroscopic quantum systems, to name a few. A levitated anisotropic particle, untethered from its environment can exhibit a rich spectrum of rotation and translational motion. Rotational motion is acutely dependant upon the size and shape of an object and the proprieties of the light which imparts angular momentum to the particle. It is also highly susceptible to changes to its environment, i.e. gas pressure or external conservative and non-conservative forces.
In this talk, I will present the latest efforts in rotational optomechanics, specifically looking at how rotation, libration, nutation and precession motion can arise in levitated systems, as well as the realisation of state control for rotating systems. Finally, I will present a proof-of-principle experimental work on precession motion, which we use for detecting optical torque as small as, $10{^-23}$ Nm, with the potential to reach torque sensitivities of 1$10^{-31}$ Nm/$\sqrt{Hz}$ [Rashid et al Phys. Rev. Lett. 121, 253601].
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