Re-examining Einstein’s B coefficient and rate equations with the Rabi model

@article{Islam2019ReexaminingEB,
  title={Re-examining Einstein’s B coefficient and rate equations with the Rabi model},
  author={Najirul Islam and Tanmoy Mondal and Sagar Chakraborty and Shyamal Biswas},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
  year={2019}
}
Starting from the Rabi Hamiltonian, which is useful in arriving at non-perturbative results within the rotating wave approximation, we have found Einstein's $B$ coefficient to be time-dependent: $B(t)\propto|J_0(\omega_\gamma t)|$ for a two-level system (atom or molecule) in thermal radiation field. Here $\omega_\gamma$ is the corresponding Rabi flopping (angular) frequency and $J_0$ is the zeroth order Bessel function of the first kind. The resulting oscillations in the $B$ coefficient---even… 
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Generalization of the Einstein coefficients and rate equations under the quantum Rabi oscillation
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

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