A transition-operator diagrammatic perturbation theory enables systematic construction of effective higher-order Hamiltonians in dispersive cavity and waveguide QED.
For simplicity and without loss of generality, the bosonic modes are defined for a discrete set, not a continuum
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Effective Hamiltonians in Cavity and Waveguide QED from Transition-Operator Diagrammatic Perturbation Theory
A transition-operator diagrammatic perturbation theory enables systematic construction of effective higher-order Hamiltonians in dispersive cavity and waveguide QED.