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The Casimir Force, a quantum mechanical effect, has been observed in severalmicroelectromechanical systems (MEMS) platforms. Due to its extreme sensitivityto the separation of two objects, the Casimir Force has been proposed as anexcellent avenue for quantum metrology. Practical application, however, ischallenging due to attractive forces leading to stiction and failure of thedevice, called Casimir pull-in. In this work, we design and simulate aCasimir-driven metrology platform, where a time-delay based parametricamplification technique is developed to achieve a steady state and avoidpull-in. We apply the design to the detection of weak, low frequency, gradientmagnetic fields, similar to those emanating from ionic currents in the heartand brain. Simulation parameters are selected from recent experimentalplatforms developed for Casimir metrology and magnetic gradiometry, both onMEMS platforms. While MEMS offer many advantages to such an application, thedetected signal must typically be at the resonant frequency of the device, withdiminished sensitivity in the low frequency regime of biomagnetic fields. Usinga Casimir-drive parametric amplifier, we report a 10,000 fold improvement inthe best-case resolution of MEMS single-point gradiometers, with a maximumsensitivity of 6 Hz/(pT/cm) at 1 Hz. The development of the proposed design hasthe potential to revolutionize metrology, and specifically may enableunshielded monitoring of biomagnetic fields in ambient conditions.

Analysis of a Casimir-driven Parametric Amplifier with Resilience to Casimir Pull-in for MEMS Single-Point Magnetic Gradiometry