Bound States in Exactly Solvable Polaritonic Models

• URL: http://arxiv.org/abs/2608.23535v1
• Date: Mon, 24 Aug 2026 17:37:08 GMT
• Title: Bound States in Exactly Solvable Polaritonic Models
• Abstract summary: We prove a general theorem on the existence of bound states under sign-definite spatially localized perturbations of constant atomic density.<n>We analyze the bound states for several exactly solvable examples.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• 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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