Analytical solution of the disordered Tavis-Cummings model and its Fano resonances

Spatially Resolved Near Field Spectroscopy of Vibrational Polaritons at the Small N Limit

“…is the creation operator for the dark modes. 5 The bright mode part of the Hamiltonian (the first three terms of S12, without dark mode terms 𝑺 U 𝒋 ) can be recognized as similar to Jaynes-Cumming model with g→GN, and σo→𝑺 U 𝒐 replacing, thereby has the same solutions as Jaynes-Cumming model but with replaced terms. Thus, the g value obtained from the fitting in the previous section, Harmonic oscillator fitting model, (with results in section 7) is equivalent to GN for the quartz-pillar resonator.…”

“…As the regular Tavis-Cummings model assumes the electric field being constant for all the oscillators, which is not the case here, we instead used the following modified Tavis-Cummings model, which allows for the different coupling constant for different molecules. 5,6 𝑯 U = 𝝎…”