No exceptional precision of exceptional-point sensors
By Wolfgang W. Langbein. Physical Review A, 2018
188 citations recorded by the source corpus.
Recently, sensors with resonances at exceptional points (EPs) have been suggested to have a vastly improved sensitivity due to the extraordinary scaling of the complex frequency splitting of the n initially degenerate modes with the n-th root of the perturbation. We show here that the resulting quantum-limited signal to noise at EPs is proportional to the perturbation, and comparable to other sensors, thus providing the same precision. The complex frequency splitting close to EPs is therefore not suited to estimate the precision of EP sensors. The underlying reason of this counter-intuitive result is that the mode �elds, described by the eigenvectors, are equal for all modes at the EP, and are strongly changing with the perturbation.
Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/f9f340d3a3e55f92da309633b47b3fe9ff1aad28
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In Atomic and Molecular Physics, and Optics
- Adam Miranowicz
- Franco Nori
- Andrea Alù
- Mohammad-Ali Miri
- Fabrizio Minganti
- Ravindra W. Chhajlany
- Sahel Ashhab
- I. Georgescu
In Statistical and Nonlinear Physics
Citations in the corpus
- Quantum exceptional points of non-Hermitian Hamiltonians and Liouvillians: The effects of quantum jumps (2019, background): “In particular, a recent study [73] indicates that enhanced sensitivity does not necessarily imply enhanced precision of sensors operating at EPs.”
- Exceptional points in optics and photonics (2019, background): “Although it has been pointed out that enhanced sensitivity at the exceptional point does not necessarily correspond to enhanced precision in sensing instruments (101) and that quantum noise should be considered to assess the ultimate performance of these exceptional point sensors (102), sensors appe”
- Exceptional topology of non-Hermitian systems (2019, unknown): “Even though a direct gain in sensing precision from the square-root dispersion around an EP has been challenged (Langbein, 2018; Wang et al. , 2020), the general possibility of parametrically enhanced sensing due to the vicinity of EPs was reported by Zhang, Sweeney et al. (2019).”