2017
DOI: 10.1364/oe.25.012325
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Abstract: Abstract:We present a general theory of spontaneous emission at exceptional points (EPs)-exotic degeneracies in non-Hermitian systems. Our theory extends beyond spontaneous emission to any light-matter interaction described by the local density of states (e.g., absorption, thermal emission, and nonlinear frequency conversion). Whereas traditional spontaneous-emission theories imply infinite enhancement factors at EPs, we derive finite bounds on the enhancement, proving maximum enhancement of 4 in passive syste… Show more

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Cited by 152 publications
(163 citation statements)
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“…Such an expansion was recently employed in Ref. [22] to demonstrate limits to LDOS at EP2s in both passive and active media; here, we extend these results to the case of EP3s.…”
Section: Prl 117 107402 (2016) P H Y S I C a L R E V I E W L E T T Esupporting
confidence: 63%
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“…Such an expansion was recently employed in Ref. [22] to demonstrate limits to LDOS at EP2s in both passive and active media; here, we extend these results to the case of EP3s.…”
Section: Prl 117 107402 (2016) P H Y S I C a L R E V I E W L E T T Esupporting
confidence: 63%
“…In particular, the SE rate of emitters in resonant cavities is traditionally expressed via the PF (a generalization of the Purcell factor [51]), becoming most pronounced near EPs where the latter diverges [52]. More rigorously, however, the SE rate is given by the LDOS, or the electromagnetic Green's function (GF), which, though enhanced, turns out to be finite even at EPs [22]: coalescent eigenmodes no longer form a complete basis, requiring instead an augmented basis of associated Jordan modes and hence a different definition of LDOS. Such an expansion was recently employed in Ref.…”
Section: Prl 117 107402 (2016) P H Y S I C a L R E V I E W L E T T Ementioning
confidence: 99%
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“…Future prospects leveraging the topological landscape around paired EPs may enable PhC lasers with exotic emission profiles [73,74], such as twisted Mobius strips. The isolated EPs found in our structure also provide a straightforward platform to study the influence of EPs and their topology on light-matter interactions, such as modified Purcell factors for spontaneous emission enhancement and nonlinear optics generation [75][76][77]. Finally, our study paves the way for the exploration of topological band theory in general nonHermitian wave systems, ranging from photonic and acoustic to electronic and polaritonic systems.…”
mentioning
confidence: 84%
“…In systems with periodic structures, such as photonic crystals, there are EPs near a point (κ = 0) of the Bloch wave-number space [37,54]. For κa 1 and | D | 1, the eigenmode is determined by the wave equation…”
Section: Ring Resonator Operating At Epmentioning
confidence: 99%