Bound States in Exactly Solvable Polaritonic Models

Abstract:We study a one-dimensional scalar model for an effective-mass quasiparticle field coupled to a continuum of two-level atoms with at most one excitation present. We prove a general theorem on the existence of bound states under sign-definite spatially localized perturbations of constant atomic density and analyze the bound states for several exactly solvable examples.

Mathematical Physics (math-ph); Spectral Theory (math.SP); Quantum Physics (quant-ph)

arXiv:2608.23535 [math-ph]

(or arXiv:2608.23535v1 [math-ph] for this version)

https://doi.org/10.48550/arXiv.2608.23535 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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