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Wigner Function Analysis of Finite Matter-Radiation Systems
by E. Nahmad-Achar, R. López-Peña, S. Cordero, and O. Castaños
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Submission summary
| Authors (as registered SciPost users): | Eduardo Nahmad-Achar |
| Submission information | |
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| Preprint Link: | scipost_202210_00046v1 (pdf) |
| Date submitted: | 2022-10-06 00:23 |
| Submitted by: | Nahmad-Achar, Eduardo |
| Submitted to: | SciPost Physics Proceedings |
| Proceedings issue: | 34th International Colloquium on Group Theoretical Methods in Physics (GROUP2022) |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We show that the behaviour in phase space of the Wigner function associated to the electromagnetic modes carries the information of both, the entanglement properties between matter and field, and the regions in parameter space where quantum phase transitions take place. A finer classification for the continuous phase transitions is obtained through the computation of the surface of minimum fidelity.
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Reports on this Submission
Anonymous Report 1 on 2023-2-6 (Invited Report)
- Cite as: Anonymous, Report on arXiv:scipost_202210_00046v1, delivered 2023-02-06, doi: 10.21468/SciPost.Report.6689
Report
This contribution is interesting an well-written, thus I think that
it should be published. There are only some minor changes and suggestions that should be addressed
Requested changes
- Explain the meaning of $x_{12}$ and $x_{23} $ in Fig. 2 (its definition is not given until Sec. 3).
- Change the notation for the maximum number of photons $k_i$ of mode $i$ at the beginning of Sec. 2, since this notation creates confusion with the eigenvalues $k_i$ of the parity operators in Sec. 4.
- In Fig. 4 two plots of Wigner functions appear in each case (red dots), but in the caption (and in the main text) reference is made to just $W_{13}$. Comment the behavior of the other Wigner function, $W_{23}$ (even if it doesn't change), or delete it from the Figure.
Anonymous on 2023-01-25 [id 3273]
In this submission the authors discuss phase-transitions in three-level Dicke model by analyzing the fidelity and the Wigner function of field mode. The presentation is clear and publishable. I believe that authors should consider the following comments: 1. It would be better if Sec. 2 were titled “Numerical solution". Usually, the term “exact solution" is understood to be an analytical solution in terms of elementary functions. 2. Both the fidelity and the continuous phase-space distributions have been widely used for detection of phase transitions. Please cite appropriate papers. 3. There is no well-defined criterion for the appearance of phase transitions in the manuscript: is it the negativity or the splitting of the distribution (both criteria were used before in the literature) Please, define such a criterion. 4. I do not think that the Eqs. after the line 113 are really needed, since they are direct consequence of the expression for the state vector |psi_gs>.