Recently, non-Hermitian degeneracies, also known as exceptional points (EPs), have attracted attention as a way of improving the responsiveness of sensors. In contrast to previous investigations, here we present a new approach to achieving ultra-sensitivity by reconstructing exceptional systems. In ...
Bifurcation of exceptional points (EPs), particularly higher-order EPs, can offer applications in metrology by amplifying sensitivity, but this method suffers from a tradeoff between sensitivity and robustness. To break this constraint, we experimentally introduce nonlinearity into the EP degeneracy lifting...
Both local and non-local perturbatio... MM Konstantinov,PH Petkov,ND Christov - Kybernetika -Praha- 被引量: 49发表: 1993年 Sensitivity analysis of the algebraic Riccati equations In this paper, some sharp perturbation bounds for the Hermitian positive semi-definite solution to an algebraic ...
When a resonant Hermitian system (or even non-Hermitian systems operating away from EPs) is subject to perturbation of orderϵ, its eigenvalues (resonant frequencies for example in the case of resonators) undergo a shift that scales linearly with perturbation parameter. In contrast, the shift of...
The concurrence C of two qubits is defined as \(C({\bar{\rho }}_{s})=\,{\rm{\max }}\{\mathrm{0,\ }{\lambda }_{1}-{\lambda }_{2}-{\lambda }_{3}-{\lambda }_{4}\}\), where \({\lambda }_{i}\) are the square roots of the eigenvalues of the non-Hermitian ...
Both local and non-local perturbatio... MM Konstantinov,PH Petkov,ND Christov - Kybernetika -Praha- 被引量: 49发表: 1993年 Sensitivity analysis of the algebraic Riccati equations In this paper, some sharp perturbation bounds for the Hermitian positive semi-definite solution to an algebraic ...
The presented results describe fundamental vibrational properties of PT-symmetric elastic media supporting exceptional points, whose sensitivity to perturbations goes beyond the linear dependency commonly encountered in Hermitian systems. The findings are thus promising for applications involving sensing of ...
Non-Hermitian photonic systems capable of perfectly absorbing incident radiation recently attracted much attention both because fundamentally they correspond to an exotic scattering phenomenon (a real-valued scattering matrix zero) and because their extreme sensitivity holds great technological promise. The ...
While the results do not preclude other possible advantages of the exceptional-point-enhanced responsivity, they do show that the fundamental sensitivity limit of the gyroscope is not improved through this form of operation. Besides being important to the physics of microcavities and non-Hermitian ...
The superscript H denotes a Hermitian conjugate (e.g., a transposed complex conjugate matrix). The matrix Ψ is a receiver noise matrix that describes the coupling and noise correlation between the receiver coils. The first expression in Equation (8) describes image reconstruction from the undersa...