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

Kononchuk, Rodion; Cai, Jinming; Ellis, F. M.; Thevamaran, Ramathasan

doi:10.48550/arxiv.2201.13328

Cited by 5 publications

(6 citation statements)

References 28 publications

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“…In [ 100 ], a preprint, an electromechanical accelerometer is demonstrated; it is a variable capacitor, C C , with one plate connected to a test mass that senses the acceleration. The electrical scheme is represented in Figure 19 .…”

Section: Sensing Applications Of Non-hermitian Electronicsmentioning

confidence: 99%

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Non-Hermitian Sensing in Photonics and Electronics: A Review

Carlo

Leonardis

Soref

et al. 2022

Sensors

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Recently, non-Hermitian Hamiltonians have gained a lot of interest, especially in optics and electronics. In particular, the existence of real eigenvalues of non-Hermitian systems has opened a wide set of possibilities, especially, but not only, for sensing applications, exploiting the physics of exceptional points. In particular, the square root dependence of the eigenvalue splitting on different design parameters, exhibited by 2 × 2 non-Hermitian Hamiltonian matrices at the exceptional point, paved the way to the integration of high-performance sensors. The square root dependence of the eigenfrequencies on the design parameters is the reason for a theoretically infinite sensitivity in the proximity of the exceptional point. Recently, higher-order exceptional points have demonstrated the possibility of achieving the nth root dependence of the eigenfrequency splitting on perturbations. However, the exceptional sensitivity to external parameters is, at the same time, the major drawback of non-Hermitian configurations, leading to the high influence of noise. In this review, the basic principles of PT-symmetric and anti-PT-symmetric Hamiltonians will be shown, both in photonics and in electronics. The influence of noise on non-Hermitian configurations will be investigated and the newest solutions to overcome these problems will be illustrated. Finally, an overview of the newest outstanding results in sensing applications of non-Hermitian photonics and electronics will be provided.

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Section: Sensing Applications Of Non-hermitian Electronicsmentioning

confidence: 99%

“… Schematic of the PT-symmetric electromechanical accelerometer proposed in [ 100 ]. The PT-symmetric circuit coupled to the transmission line with capacitors C E .…”

Section: Figurementioning

confidence: 99%

Non-Hermitian Sensing in Photonics and Electronics: A Review

Carlo

Leonardis

Soref

et al. 2022

Sensors

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show abstract

“…The experimental effort in realizing a significant ∆( ĤEP ) is based on implementing either a large internal coupling g or a large unidirectional coupling κ. For the spectral response strength (32) we get…”

Section: B Unidirectionally Coupled Pair Of Pt -Symmetric Dimersmentioning

confidence: 99%

“…EPs have been observed in numerous experiments in diverse physical systems [8][9][10][11][12][13][14][15][16][17][18][19]. Several applications of EPs have been suggested, such as unidirectional lasing operation [13], orbital angular momentum microlasers [20], sources of circularly polarized light [21], topological energy transfer between states [22,23], loss-induced suppression of lasing [24], mode discrimination in multimode laser cavities [25], and sensors with enhanced response [26][27][28][29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

The distance between exceptional points and diabolic points and its implication for the response strength of non-Hermitian systems

Wiersig

2022

Preprint

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Exceptional points are non-Hermitian degeneracies in open quantum and wave systems at which not only eigenenergies but also the corresponding eigenstates coalesce. This is in strong contrast to degeneracies known from conservative systems, so-called diabolic points, at which only eigenenergies degenerate. Here we connect these two kinds of degeneracies by introducing the concept of the distance of a given exceptional point in matrix space to the set of diabolic points. We prove that this distance determines an upper bound for the response strength of a non-Hermitian system with this exceptional point. A small distance therefore implies a weak spectral response to perturbations and a weak intensity response to excitations. This finding has profound consequences for physical realizations of exceptional points that rely on perturbing a diabolic point. Moreover, we exploit this concept to analyze the limitations of the spectral response strength in passive systems. A number of optical and photonics systems are investigated to illustrate the theory.

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“…As exceptional points are typically realized with non-Hermitian photonic systems, there are unavoidable intrinsic noise processes such as vacuum fluctuations due to loss and spontaneous emission in gain medium [12]. This has caused intense debate about whether exceptional points can still show sensing advantage if intrinsic noise processes are dominant [13][14][15][16][17][18][19][20][21]. The major concern is that intrinsic noise is also amplified due to the coalescence of eigen-vectors.…”

mentioning

confidence: 99%