Approximate evolution for a system composed by two coupled Jaynes–Cummings Hamiltonians

@article{RamosPrieto2020ApproximateEF,
  title={Approximate evolution for a system composed by two coupled Jaynes–Cummings Hamiltonians},
  author={I. Ramos-Prieto and Angel Eduardo Liga Paredes and J. R'ecamier and H{\'e}ctor Manuel Moya-Cessa},
  journal={Physica Scripta},
  year={2020},
  volume={95}
}
In this work we construct an approximate time evolution operator for a system composed by two coupled Jaynes–Cummings Hamiltonians. We express the full time evolution operator as a product of exponentials and we analyze the validity of our approximations contrasting our analytical results with those obtained by purely numerical methods. 
Approximate Evolution for A Hybrid System—An Optomechanical Jaynes-Cummings Model
TLDR
This work starts from a phenomenological Hamiltonian built from two known systems: the Hamiltonian of a pumped optomechanical system and the Jaynes-Cummings Hamiltonian, which can be linearized and whose time evolution operator is written in a product form.

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