Optimal estimation of time-dependent gravitational fields with quantum optomechanical systems

Sofia Qvarfort; A. Douglas K. Plato; David E. Bruschi; Fabienne Schneiter; Daniel Braun; Alessio Serafini; Dennis Rätzel

doi:10.1117/12.2617253

9 March 2022 Optimal estimation of time-dependent gravitational fields with quantum optomechanical systems

Sofia Qvarfort, A. Douglas K. Plato, David E. Bruschi, Fabienne Schneiter, Daniel Braun, Alessio Serafini, Dennis Rätzel

Author Affiliations +

Proceedings Volume PC12016, Optical and Quantum Sensing and Precision Metrology II; PC1201612 (2022) https://doi.org/10.1117/12.2617253
Event: SPIE OPTO, 2022, San Francisco, California, United States

Abstract

We study the fundamental sensitivity that can be achieved with an ideal optomechanical system in the nonlinear regime for measurements of time-dependent gravitational fields. The optomechanical system consists of a cavity mode and a mechanical oscillator coupled to it via (non-linear) radiation pressure coupling. Using recently developed methods to solve the dynamics of a nonlinear optomechanical system with a time-dependent Hamiltonian, we compute the quantum Fisher information for linear displacements of the mechanical element due to gravity. We demonstrate that the sensitivity can be further enhanced by injecting squeezed states of the cavity field or by modulating the light–matter coupling of the optomechanical system. We specifically apply our results to the measurement of gravitational fields from small oscillating masses, where we show that, in principle, the gravitational field of an oscillating nanogram mass can be detected based on experimental parameters that will likely be accessible in the near-term future. Finally, we identify the experimental parameter regime necessary for gravitational wave detection with a quantum optomechanical sensor.

Conference Presentation

Citation Download Citation

Sofia Qvarfort, A. Douglas K. Plato, David E. Bruschi, Fabienne Schneiter, Daniel Braun, Alessio Serafini, and Dennis Rätzel "Optimal estimation of time-dependent gravitational fields with quantum optomechanical systems", Proc. SPIE PC12016, Optical and Quantum Sensing and Precision Metrology II, PC1201612 (9 March 2022); https://doi.org/10.1117/12.2617253

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