Cavity Quantum Optomechanical Nonlinearities: from Position Measurement Beyond the Linearized Regime to Deterministic Mechanical Nonclassicality

Abstract: 

Nonlinearities are a key resource throughout many different areas of quantum science, including quantum-information processing, quantum metrology, and nonclassical quantum state engineering. In cavity quantum optomechanics, the optomechanical interaction is inherently nonlinear due to the nonlinearities of both the radiation-pressure interaction and the response of the cavity itself. As a growing number of experiments are now observing these nonlinearities, a suitable theoretical framework for describing these nonlinearities is needed for optomechanics to advance beyond the current state-of-the-art.

In this talk, I will introduce our framework of cavity quantum optomechanics, which captures the nonlinearities of both the radiation-pressure interaction and cavity-response. I will then describe how this framework can be used to perform position measurement well beyond the linearized approximation. Finally, I will show that with only radiation pressure in a cavity, mechanical Wigner negativity can be prepared deterministically in the unresolved sideband regime.

J. Clarke, P. Neveu, K. E. Khosla, E. Verhagen, and M. R. Vanner, Phys. Rev. Lett. 131, 053601 (2023).

Biography: 

Jack Clarke is a Postdoctoral Researcher at Imperial College London working in the Quantum Measurement Lab led by Dr Michael Vanner. He completed his undergraduate degree in Oxford before moving to Imperial College London for his PhD. His research interests include cavity quantum optomechanics, nonlinear quantum systems, and quantum measurement and control.