Nonperturbative decay dynamics in metamaterial waveguides

Abstract

In this work we investigate the nonperturbative decay dynamics of a quantum emitter coupled to a composite right/left handed transmission line (CRLH-TL). Our theory captures the contributions from the different spectral features of the waveguide, providing an accurate prediction beyond the weak coupling regime, and illustrating the multiple possibilities offered by the nontrivial dispersion of metamaterial waveguides. We show that the waveguide is characterized by a band-gap with two asymmetric edges: (i) a mu-near-zero (MNZ) band edge, where spontaneous emission is inhibited and an unstable pole is smoothly transformed into a bound state, and (ii) an epsilon-near-zero (ENZ) band edge, where the decay rate diverges and unstable and real (bound state) poles coexist. In both cases, branch cut singularities contribute with fractional decay dynamics whose nature depend on the properties of the band-edges.

References in corpus (14)

• Microwave photonics with superconducting quantum circuits
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• Universal Quantum Computation in Waveguide QED using Decoherence Free Subspaces
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• Quantum Networks in Divergence-free Circuit QED
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Cited by in corpus (6)

• New horizons in near-zero refractive index photonics and hyperbolic metamaterials
• Optomagnonics in dispersive media: magnon-photon coupling enhancement at the epsilon-near-zero frequency
• Light propagation and magnon-photon coupling in optically dispersive magnetic media
• Circuit QED with a Giant Atom Coupling to Left-handed Superlattice Metamaterials
• Exact quantization of nonreciprocal quasi-lumped electrical networks
• Radiative energy bandgap of nanostructures coupled with quantum emitters around the epsilon-near-zero (ENZ) frequency