Tuning exceptional points with Kerr nonlinearity

Ramezanpour, Shahab; Bogdanov, Andrey

doi:10.1103/physreva.103.043510

Cited by 18 publications

(7 citation statements)

References 66 publications

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“…This equation indicates that nonlinearity can alter the location of EP. [105] Setting α{ , } = 0 and ∆ c = 0, the values of the formal solutions of eigenfrequencies can be obtained by numerically solving Eq. ( 10).…”

Section: Nonlinear 𝒜𝒫𝒯 Gyroscopementioning

confidence: 99%

Anti- APT -symmetric Kerr gyroscope

Zhang

Peng

et al. 2022

Chinese Phys. B

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Non-Hermitian systems can exhibit unconventional spectral singularities called exceptional points (EPs). Various EP sensors have been fabricated in recent years, showing strong spectral responses to external signals. Here we propose how to achieve a nonlinear anti-parity-time ($\mathcal{APT}$) gyroscope by spinning an optical resonator. We show that, in the absence of any nonlinearity, the sensitivity or optical mode splitting of the linear device can be magnified up to 3 orders than that of the conventional device without EPs. Remarkably, the $\mathcal{APT}$ symmetry can be broken when including the Kerr nonlinearity of the materials and, as the result, the detection threshold can be significantly lowered, i.e., much weaker rotations which are well beyond the ability of a linear gyroscope can now be detected with the nonlinear device. Our work shows the powerful ability of $\mathcal{APT}$ gyroscopes in practice to achieve ultrasensitive rotation measurement.

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Section: Nonlinear 𝒜𝒫𝒯 Gyroscopementioning

confidence: 99%

Anti- APT -symmetric Kerr gyroscope

Zhang

Peng

et al. 2022

Chinese Phys. B

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“…An error-correction method is discussed to enhance the robustness of sensing using nonlinearity in [54]. Also, the nonlinearity works as a self-correcting process in two coupled optical ring resonators in [55]. Nonlinearity in our proposed circuit helps maintain the oscillation frequency at the EPD frequency, within a range of small mismatches between gain and loss.…”

Section: Nonlinear Gain and Oscillator Characteristicsmentioning

confidence: 99%

How to achieve exceptional points in coupled resonators using a gyrator or PT-symmetry, and in a time-modulated single resonator: high sensitivity to perturbations

et al. 2022

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We study the rise of exceptional points of degeneracy (EPD) in various distinct circuit configurations such as gyrator-based coupled resonators, coupled resonators with PT-symmetry, and in a single resonator with a time-varying component. In particular, we analyze their high sensitivity to changes in resistance, capacitance, and inductance and show the high sensitivity of the resonance frequency to perturbations. We also investigate stability and instability conditions for these configurations; for example, the effect of losses in the gyrator-based circuit leads to instability, and it may break the symmetry in the PT-symmetry-based circuit, also resulting in instabilities. Instability in the PT-symmetry circuit is also generated by breaking PT-symmetry when one element (e.g., a capacitor) is perturbed due to sensing. We have turned this instability “inconvenience” to an advantage, and we investigate the effect of nonlinear gain in the PT-symmetry coupled-resonator circuit and how this leads to an oscillator with oscillation frequency very sensitive to perturbation. The circuits studied in this paper have the potential to lead the way for a more efficient generation of high-sensitivity sensors that can detect very small changes in chemical, biological, or physical quantities.

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“…This equation indicates that nonlinearity can alter the location of EP [100]. By setting α{ , } = 0 and ∆ c = 0, the values of the formal solutions of eigenfrequencies can…”

Section: Nonlinear Apt Gyroscopementioning

confidence: 99%

Anti-$\mathcal{PT}$-symmetric Kerr gyroscope

Zhang,

Peng,

et al. 2021

Preprint

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Non-Hermitian systems can exhibit unconventional spectral singularities called exceptional points (EPs). Various EP sensors have been fabricated in recent years, showing strong spectral responses to external signals. Here we propose how to achieve a nonlinear anti-parity-time (APT ) gyroscope by spinning an optical resonator. We show that, in the absence of any nonlinearity, the sensitivity or optical mode splitting of the linear device can be magnified up to 3 orders than that of the conventional device without EPs. Remarkably, the APT symmetry can be broken when including the Kerr nonlinearity of the materials and, as the result, the detection threshold can be significantly lowered, i.e., much weaker rotations which are well beyond the ability of a linear gyroscope can now be detected with the nonlinear device. Our work shows the powerful ability of APT gyroscopes in practice to achieve ultrasensitive rotation measurement.

show abstract

Tuning exceptional points with Kerr nonlinearity

Cited by 18 publications

References 66 publications

Anti- APT -symmetric Kerr gyroscope

Anti- APT -symmetric Kerr gyroscope

How to achieve exceptional points in coupled resonators using a gyrator or PT-symmetry, and in a time-modulated single resonator: high sensitivity to perturbations

Anti-$\mathcal{PT}$-symmetric Kerr gyroscope

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