# 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.

## 3 Citations

### Approximate Evolution for A Hybrid System—An Optomechanical Jaynes-Cummings Model

- PhysicsEntropy
- 2020

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.

### Approximate Evolution for a Open Hybrid System: An Optomechanical Jaynes-Cummings Model

- PhysicsInternational Journal of Theoretical Physics
- 2022

In this work, we consider an open hybrid system composed by a pumped optomechanical system and a Jaynes-Cummings (JC) Hamiltonian. The cavity is not perfect so photons may escape and the two-level…

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