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Bound States in Exactly Solvable Polaritonic Models

Sam Johar, Ryogo Katahira, Joseph Kraisler

math-pharXiv:2608.23535

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.

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