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math-ph2026
Spectral Theory of an Exactly Solvable Quantum-Optical Oscillator
Sam Johar, Joseph Kraisler
We study a one-dimensional single-excitation model of a scalar photon field coupled to a continuum of two-level atoms with quadratic density. The resulting matrix Hamiltonian has a…
math-ph2026
Bound States in Exactly Solvable Polaritonic Models
Sam Johar, Ryogo Katahira, Joseph Kraisler
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…