Design of a Casimir-driven parametric amplifier

Abstract

In this paper, we discuss a design for a MEMS parametric amplifier modulated by the Casimir force. We present the theory for such a device and show that it allows for the implementation of a very sensitive voltage measuring technique, where the amplitude of a high quality factor resonator includes a tenth power dependency on an applied DC voltage. This approach opens up a new and powerful measuring modality, applicable to other measurement types.

Casimir switch: steering optical transparency with vacuum forces

“…56); ( d ) reversed pump dependence of η p , at the resonance Δ p  = 0, in the low-power CF-aided OMIT. For all the cases with the CF, we take a fixed value of d  = 2 nm as a typical example.…”

Building a Casimir metrology platform with a commercial MEMS sensor

“…For example, it has been suggested that a MEMS oscillator parametrically driven by the Casimir force would exhibit a gain that scales as one over the Casimir cavity size to the fifth power or as applied DC voltage to the tenth power. 15 In addition to providing a means of investigating the Casimir Effect itself, this system could be useful for temperature sensing, AC voltage measurements, low-impedance current measurements, or probing any measurand which could be coupled into a physical movement of the accelerometer proof-mass. Successfully integrating a Casimir cavity into the well-developed, scalable technology of MEMS accelerometers is an important step in realizing Casimir-enabled sensing devices as a practical, room temperature quantum metrology tool.…”

Gravitational-wave response of parametric amplifiers driven by radiation-induced dispersion force modulation

“…This radiation-driven frequency shift time-modulation (Δω 0,pert /ω 0,pert ∼ 1 %) is consistent with values considered in mechanically driven pumps. 51 Furthermore, the parametric resonance condition with slight friction (Ref. 56, §27), written as 1/Q < Δω 0,pert /ω 0,pert , is satisfied.…”

“…49,57 Following the original proposal by the author, 38 the design of a Casimir-force driven torsional parametric amplifier has been presented, 51 theoretically establishing the feasibility to attain extremely high displacement gain factors (G 10 3 ) and reiterating the initial suggestion 38 to extend that approach to gravitational wave detection.…”

“…Let us generalize the typical treatment of the perturbation on one paddle of a torsion oscillator [47][48][49][50][51] to consider two planes separated from the facing paddles by unequal gaps (Fig. 1).…”