Quasi-degenerate resonant eigenstate doublets of two quantum emitters in a closed waveguide
- URL: http://arxiv.org/abs/2507.14371v1
- Date: Fri, 18 Jul 2025 21:33:11 GMT
- Title: Quasi-degenerate resonant eigenstate doublets of two quantum emitters in a closed waveguide
- Authors: Ammara Ammara, Paolo Facchi, Saverio Pascazio, Francesco V. Pepe, Debmalya Das,
- Abstract summary: We investigate the existence of quasi-degenerate resonant doublets of a pair of identical emitters coupled to a linear waveguide mode.<n>The identification of quasi-degenerate doublets opens the possibility to manipulate the emitters-waveguide system as an effectively two-level system in specific energy ranges.
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- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The physics of systems of quantum emitters is significantly influenced by the relation between their spatial separation and the wavelength of the emitted photons. If the distance that separates a pair of emitters meets specific resonance conditions, the photons produced from decay may destructively interfere. In an infinite-wavelength setting, this effect gives rise to bound states in the continuum, where a photon remains confined in between the emitter. In the case of a finite-length waveguide with two periodic boundary conditions, the relevant distances become two, leading to states in which a photon is confined in either the shorter or the longer path that connects the emitters. If the ratio of the shorter and the longer path is a rational number, these two kinds of resonant states are allowed to co-exist in the same Hamiltonian. In this paper, we investigate the existence of quasi-degenerate resonant doublets of a pair of identical emitters coupled to a linear waveguide mode. The states that form the doublet are searched among the ones in which a single excitation tends to remain bound to the emitters. We investigate the spectrum in a finite range around degeneracy points to check whether the doublet remains well separated from the closest eigenvalues in the spectrum. The identification of quasi-degenerate doublets opens the possibility to manipulate the emitters-waveguide system as an effectively two-level system in specific energy ranges, providing an innovative tool for quantum technology tasks.
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