Analysis of a Casimir-driven parametric amplifier with resilience to Casimir pull-in for MEMS single-point magnetic gradiometry

Abstract The Casimir force, a quantum mechanical effect, has been observed in several microelectromechanical system (MEMS) platforms. Due to its extreme sensitivity the separation of two objects, force proposed as an excellent avenue for metrology. Practical application, however, is challenging due attractive forces leading stiction and device failure, called pull-in. In this work, we design simulate Casimir-driven metrology platform, where time-delay-based parametric amplification technique developed achieve steady-state avoid We apply detection weak, low-frequency, gradient magnetic fields similar those emanating from ionic currents heart brain. Simulation parameters are selected recent experimental platforms gradiometry, both on MEMS While offers many advantages such detected signal must typically be at resonant frequency device, with diminished low regime biomagnetic fields. Using amplifier, report 10,000-fold improvement best-case resolution single-point gradiometers, maximum 6 Hz/(pT/cm) 1 Hz. Further development potential revolutionize may specifically enable unshielded monitoring ambient conditions.