研究目的
Investigating the coalescence of multiple exceptional points (EPs) in non-Hermitian systems based on a waveguide, and analyzing the properties of this system through the effective Hamiltonian, mode-coupling diagram, and numerical simulations.
研究成果
The study demonstrates that coupling multiple ring resonators with a straight waveguide can lead to a coalescence of multiple EPs. The principle of this framework and properties of this system are presented based on the effective Hamiltonian of the system, a mode-coupling diagram, and numerical simulations.
研究不足
The study does not include the effect of the quantum noise that the sensors might suffer as their precisions approach the quantum noise limit. Additionally, the experimental realization of high-order EPs is challenging due to the need for judicious selection of many parameters.
1：Experimental Design and Method Selection:
The study involves analyzing the effective Hamiltonian of the system, creating a mode-coupling diagram, and performing numerical simulations to understand the coalescence of multiple EPs.
2：Sample Selection and Data Sources:
The system consists of N ring cavities in the evanescent field of a waveguide, with each ring cavity tuned to the second-order EP by refractive-index modulations.
3：List of Experimental Equipment and Materials:
The study uses numerical simulations performed by the finite-element electromagnetic solver (COMSOL MULTIPHYSICS).
4：Experimental Procedures and Operational Workflow:
The study involves simulating the system with and without a straight waveguide to observe the coalescence of EPs.
5：Data Analysis Methods:
The analysis includes solving the eigen equation of the effective Hamiltonian and analyzing the overlap integral among different modes.
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