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Exceptional points (EP) are non-Hermitian spectral degeneracies where botheigenvalues and their corresponding eigenvectors coalesce. Recently, EPs haveattracted a lot of attention as a means to enhance the responsivity of sensors,via the abrupt resonant detuning occurring in their proximity. In many cases,however, the EP implementation is accompanied by noise enhancement leading tothe degradation of the signal-to-noise performance of the sensor . The excessnoise can be of fundamental nature (due to the eigenbasis collapse) or oftechnical nature associated with the use of amplification mechanisms utilizedfor the realization of EPs. Here we show, using an EP-based$\mathcal{PT}$-symmetric electromechanical accelerometer, that the enhancedtechnical noise can be surpassed by the enhanced responsivity to appliedaccelerations. The noise due to eigenbasis collapse is mitigated by exploitingthe detuning from a transmission peak degeneracy (TPD), which forms when thesensor is weakly coupled to transmission lines, as a sensitivity measurant.These TPDs occur at a frequency and controlled parameters for which thebi-orthogonal eigen-basis is still complete and are distinct from the EPs ofthe $\mathcal{PT}$-sensor. They also show a slightly enhanced detuning ratecompared to the typically utilized EPs. Our device demonstrates a three-foldsignal-to-noise ratio enhancement compared to configurations for which thesystem operates away from the TPD.

Enhanced Signal-to-Noise Performance of EP-based Electromechanical Accelerometers