Mixed permutation symmetry quantum phase transitions of critical three-level atom models
Alberto Mayorgas, J. Guerrero, Manuel Calixto
SciPost Phys. Proc. 14, 036 (2023) · published 24 November 2023
- doi: 10.21468/SciPostPhysProc.14.036
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Proceedings event
34th International Colloquium on Group Theoretical Methods in Physics
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 $N\to∞$, 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.
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Alberto Mayorgas,
- 1 2 J. Guerrero,
- 1 Manuel Calixto
- 1 Universidad de Granada / University of Granada [UGR]
- 2 Universidad de Jaén / University of Jaén [UJA]
- Consejería de Economía, Innovación, Ciencia y Empleo, Junta de Andalucía (through Organization: Consejería de Economía Innovación Ciencia y Empleo)
- Ministerio de Ciencia e Innovación