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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 | |
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| Preprint Link: | scipost_202212_00060v2 (pdf) |
| Date accepted: | Aug. 11, 2023 |
| Date submitted: | Feb. 17, 2023, 12:12 p.m. |
| Submitted by: | Mayorgas, Alberto |
| 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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| 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.
Published as SciPost Phys. Proc. 14, 036 (2023)
Reports on this Submission
Report #1 by Anonymous (Referee 2) on 2023-3-22 (Invited Report)
- Cite as: Anonymous, Report on arXiv:scipost_202212_00060v2, delivered 2023-03-22, doi: 10.21468/SciPost.Report.6943
Strengths
The mathematical aspects are clearly exposed and justified. The numerical explorations are convincing.
Weaknesses
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Requested changes
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