Fluctuations and noise-limited sensing near the exceptional point of parity-time-symmetric resonator systems
Fluctuations and noise-limited sensing near the exceptional point of parity-time-symmetric resonator systems
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DOI：
10.1364/optica.5.001342
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发表时间：
2018-10-20
期刊：
影响因子：
10.4
通讯作者：
Wolff, Christian
中科院分区：
文献类型：
--
作者：
Mortensen, N. Asger;Goncalves, P. A. D.;Wolff, Christian
宇称时间（PT）对称系统的例外点具有高灵敏度传感器的诱人潜力。在这里，我们从理论上探讨的作用，介观波动和噪声的光谱和时间特性的系统PT对称耦合增益损耗谐振器附近的例外点，本征值和本征向量合并。我们表明，实验上不可避免的失谐的非耦合谐振器的频率导致一个不可避免的修改的条件，达到例外的点，而这一点是接近合奏的谐振器对，统计平均显着涂抹的频谱特征。我们讨论了这些波动如何影响传感器的灵敏度耦合PT对称谐振器的基础上。最后，我们表明，这些传感器的失调和增益的时间波动至少会导致光功率随时间的二次增长，这意味着在很长一段时间内维持在异常点的操作可能相当具有挑战性。我们的理论分析澄清了实现PT对称器件的核心问题，并应促进该领域未来的实验工作。(C)根据OSA开放获取出版协议的条款，2018年美国光学学会
Exceptional points of parity-time (PT) symmetric systems hold an intriguing potential for highly sensitive sensors. Here, we theoretically explore the role of mesoscopic fluctuations and noise on the spectral and temporal properties of systems of PT-symmetric-coupled gain-loss resonators operating near the exceptional point, where eigenvalues and eigenvectors coalesce. We show that experimentally inevitable detuning in the frequencies of the uncoupled resonators leads to an unavoidable modification of the conditions for reaching the exceptional point, while, as this point is approached in ensembles of resonator pairs, statistical averaging significantly smears the spectral features. We discuss how these fluctuations affect the sensitivity of sensors based on coupled PT-symmetric resonators. Finally, we show that temporal fluctuations in the detuning and gain of these sensors lead to at least a quadratic growth of the optical power in time, implying that maintaining operation at the exceptional point over a long period can be rather challenging. Our theoretical analysis clarifies issues central to the realization of PT-symmetric devices, and should facilitate future experimental work in the field. (C) 2018 Optical Society of America under the terms of the OSA Open Access Publishing Agreement