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Mixed permutation symmetry quantum phase transitions of critical threelevel atom models
by A. Mayorgas, J. Guerrero, and M. Calixto
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Submission summary
Authors (as registered SciPost users):  Manuel Calixto · Alberto Mayorgas 
Submission information  

Preprint Link:  scipost_202212_00060v2 (pdf) 
Date accepted:  20230811 
Date submitted:  20230217 12:12 
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: 

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 lowestenergy state into each $\mu$ when shifting a Hamiltonian control parameter $\lambda$. A threelevel LipkinMeshkovGlick (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 lowestenergy 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)
Submission & Refereeing History
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Reports on this Submission
Anonymous Report 1 on 2023322 (Invited Report)
 Cite as: Anonymous, Report on arXiv:scipost_202212_00060v2, delivered 20230322, doi: 10.21468/SciPost.Report.6943
Strengths
The content of the submitted work shows a real expertise of the authors in managing permutational symmetries and the study of phase transitions for systems at large number of particles with mixed permutational symmetries. The model considered by the authors is described by the LipkinMeshkovGlick Hamiltonian.
The mathematical aspects are clearly exposed and justified. The numerical explorations are convincing.
Weaknesses
There is no weakness but the fact that the content is quite condensed.
Report
All criteria of the Journal are met in a satisfactory way. The submission excellently proves the strength of symmetry methods in facing with nontrivial questions pertaining with quantum phase transitions.
Requested changes
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