Generalization of the Einstein coefficients and rate equations under the quantum Rabi oscillation

• URL: http://arxiv.org/abs/2210.04032v1
• Date: Sat, 8 Oct 2022 14:13:04 GMT
• Title: Generalization of the Einstein coefficients and rate equations under the quantum Rabi oscillation
• Authors: Najirul Islam and Shyamal Biswas
• Abstract summary: We have generalized Einstein coefficients and rate equations from quantum field theoretic point of view. We have analytically obtained multimode Jaynes-Cummings model results for the quantum Rabi oscillations of a two-level system.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We have generalized Einstein coefficients and rate equations from quantum field theoretic point of view by bringing the fundamental processes and the quantum Rabi oscillation in a single footing for the light-matter interactions for nonzero Rabi frequency. We have analytically obtained multimode Jaynes-Cummings model results for the quantum Rabi oscillations of a two-level system in a lossy resonant cavity containing (i) thermal photons and (ii) injected photons of a coherent field. We have renormalized the coupling constant for the light-matter interactions for these cases. Our results match well with the seminal experimental data obtained in this regard by Brune et al [Phys. Rev. Lett 76, 1800 (1996)]. We also have studied the population dynamics in this regard by applying the generalized Einstein rate equations.

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