Bound states and photon emission in non-Hermitian nanophotonics

Abstract

We establish a general framework for studying the bound states and the photon-emission dynamics of quantum emitters coupled to structured nanophotonic lattices with engineered dissipation (loss). In the single-excitation sector, the system can be described exactly by a non-Hermitian formalism. We have pointed out in the accompanying letter [Gong \emph{et al}., arXiv:2205.05479] that a single emitter coupled to a one-dimensional non-Hermitian lattice may already exhibit anomalous behaviors without Hermitian counterparts. Here we provide further detail on these observations. We also present several additional examples on the cases with multiple quantum emitters or in higher dimensions. Our work unveils the tip of the iceberg of the rich non-Hermitian phenomena in dissipative nanophotonic systems.

21 pages, 15 figures. Revised version. Part of a *joint submission*. Please see also the companion letter entitled "Anomalous Behaviors of Quantum Emitters in Non-Hermitian Baths" arXiv:2205.05479

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Cited by in corpus (17)

• Topological Quantum Batteries
• Anomalous Behaviors of Quantum Emitters in Non-Hermitian Baths
• Hermitian and Non-Hermitian Topology from Photon-Mediated Interactions
• Giant Emitters in a Structured Bath with Non-Hermitian Skin Effect
• Topological Effects in Two-Dimensional Quantum Emitter Systems
• Fractional Quantum Zeno Effect Emerging from Non-Hermitian Physics
• Non-Hermitian extended midgap states and bound states in the continuum
• Infernal and Exceptional Edge Modes: Non-Hermitian Topology Beyond the Skin Effect
• Topologically protected subradiant cavity polaritons through linewidth narrowing enabled by dissipationless edge states
• Waveguide QED with dissipative light-matter couplings
• Phase Transitions and Virtual Exceptional Points in Quantum Emitters Coupled to Dissipative Baths
• Unconventional and robust light-matter interactions based on the non-Hermitian skin effect
• Chiral-Extended Photon-Emitter Dressed States in Non-Hermitian Topological Baths
• Exotic quantum light-matter interactions in bilayer square lattices
• Topological, multi-mode amplification induced by non-reciprocal, long-range dissipative couplings
• Alternating quantum-emitter chains: Exceptional-point phase transition, edge state, and quantum walks
• Scattering States in One-Dimensional Non-Hermitian Baths