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Mixed permutation symmetry quantum phase transitions of critical three-level atom models
by A. Mayorgas, J. Guerrero, and M. Calixto
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Submission summary
| Authors (as registered SciPost users): | Manuel Calixto · Julio Guerrero · Alberto Mayorgas |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202212_00060v1 (pdf) |
| Date submitted: | 2022-12-22 14:14 |
| Submitted by: | Mayorgas, Alberto |
| Submitted to: | SciPost Physics Proceedings |
| Proceedings issue: | 34th International Colloquium on Group Theoretical Methods in Physics (GROUP2022) |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
Abstract
We define the concept of Mixed Symmetry Quantum Phase Transition (MSQPT), considering each permutation symmetry sector $\mu$ of an identical particles system, as singularities in the properties of the lowest-energy state into each $\mu$ when shifting a Hamiltonian control parameter $\lambda$. A three-level Lipkin-Meshkov-Glick (LMG) model is chosen to typify our construction. Firstly, we analyze the finite number $N$ of particles case, proving the presence of MSQPT precursors. Then, in the thermodynamic limit $N\to\infty$, we calculate the lowest-energy density inside each sector $\mu$, augmenting the control parameter space by $\mu$, and showing a phase diagram with four different quantum phases.
Current status:
Reports on this Submission
Report #1 by Anonymous (Referee 2) on 2023-2-7 (Invited Report)
- Cite as: Anonymous, Report on arXiv:scipost_202212_00060v1, delivered 2023-02-07, doi: 10.21468/SciPost.Report.6696
Strengths
There is nothing particular strong about this submission. The idea is nice but it's already been published and the current manuscript add nothing to current state of knowledge
Weaknesses
1. The writing is very unclear.
2. The bibliography is incomplete and misleading
3. The motivation for using coherent states in unclear.
4. The treatment of multiplicities is not discussed.
Report
The submission needs considerable revisions before publications.
Requested changes
1. Update the bibliography,
2. Clean up the language
3. Clarify the role of repeated copies of a representation.
4. Clarify how the parity symmetry is broken,
5. Justify the coherent state ansatz, and the parametrization of these states.
6. Clarify the meaning of permutation symmetry in the limit of large N.
Author: Alberto Mayorgas on 2023-02-17 [id 3371]
(in reply to Report 1 on 2023-02-07)Dear Referee,
We carefully address in the attached file the referee's recommendations and comments in
relation to the manuscript scipost\_202212\_00060v1 entitled "Mixed permutation symmetry quantum phase transitions of critical three-level atom models", by A. Mayorgas, J. Guerrero, and M. Calixto, which is submitted to SciPost Physics Proceedings for publication. We have also included the references suggested by the referee. As a result, the length of the article slightly exceeds 8 pages. We hope that this is not a problem.
We thank the referee for their comments and recommendations which helped to improve the article.
I hope that the explanations provided and the changes made to the manuscript make it suitable for publication in SciPost Physics Proceedings.
Looking forward to hearing from you.
Yours sincerely,
The Authors
Attachment:
AnswerToReferee.pdf