Position-squared coupling in a tunable photonic crystal optomechanical cavity
Taofiq K. Paraiso, Mahmoud Kalaee, Leyun Zang, Hannes Pfeifer,, Florian Marquardt, and Oskar Painter

TL;DR
This paper reports the design and experimental demonstration of a silicon photonic crystal cavity with significantly enhanced position-squared optomechanical coupling, enabling advanced quantum control applications.
Contribution
It introduces a novel double-slotted photonic crystal structure with tunable supermodes that achieve large quadratic optomechanical coupling, surpassing conventional systems.
Findings
Position-squared vacuum coupling rate of 245 Hz.
Coupling coefficient of 1 THz/nm$^2$.
Coupling is five orders of magnitude larger than in Fabry-Perot systems.
Abstract
We present the design, fabrication, and characterization of a planar silicon photonic crystal cavity in which large position-squared optomechanical coupling is realized. The device consists of a double-slotted photonic crystal structure in which motion of a central beam mode couples to two high-Q optical modes localized around each slot. Electrostatic tuning of the structure is used to controllably hybridize the optical modes into supermodes which couple in a quadratic fashion to the motion of the beam. From independent measurements of the anti-crossing of the optical modes and of the optical spring effect, the position-squared vacuum coupling rate is measured to be as large as 245 Hz to the fundamental in-plane mechanical resonance of the structure at 8.7MHz, which in displacement units corresponds to a coupling coefficient of 1 THz/nm. This level of position-squared coupling is…
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