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Invariant approach to the driven atom-field interaction
by Ivan Bocanegra-Garay, Leonardi Hernández-Sánchez, Irán Ramos-Prieto, Francisco Soto-Eguibar, Héctor Manuel Moya-Cessa
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Submission summary
| Authors (as registered SciPost users): | Ivan Alejandro Bocanegra Garay |
| Submission information | |
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| Preprint Link: | scipost_202309_00007v1 (pdf) |
| Date submitted: | 2023-09-07 04:38 |
| Submitted by: | Bocanegra Garay, Ivan Alejandro |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We investigate the dynamics of the driven Jaynes-Cummings model, where a two-level atom interacts with a quantized field and both, atom and field, are driven by an external classical field. Via an invariant approach, we are able to transform the corresponding Hamiltonian into the one of the standard Jaynes-Cummings model. Subsequently, the exact analytical solution of the Schrödinger equation for the driven system is obtained and employed to analyze some of its dynamical variables.
Current status:
Reports on this Submission
Report 1 by José F. Récamier on 2023-10-31 (Invited Report)
- Cite as: José F. Récamier, Report on arXiv:scipost_202309_00007v1, delivered 2023-10-31, doi: 10.21468/SciPost.Report.8026
Strengths
1 The authors make use of a series of unitary transfoirmations to obtain the exact solution for a driven JC model
2 Their method extends previous studies where the classical forcing field coupled only with the two-level system or with the quantized cavity field but not both of them.
3 The authors reproduce the already known results for the previous studies of this system and generalize to the more general case with coupling between the classical field and the two level system.
Weaknesses
The last section in the manuscript does not seem to provide much information, I think its relevance could be stated more clearly.
Report
I consider that the manuscript is well written and contains interesting results so it could be published as it is. There are some minor points to be taken into consideration: The figures present analytic and numerical results, since the analytic results are exact I do not see the reason for including purely numerical results. As I said before, I think the last section could be improved.
Requested changes
Improve the last section of the manuscript.