@inproceedings {581,
	title = {Crossing and anti-crossing of the Lipkin-Meshkov-Glick model for N = 4 spin system},
	booktitle = {Proceedings of the 40th Samahang Pisika ng Pilipinas Physics Conference},
	year = {2022},
	month = {19{\textendash}21 Oct 2022},
	pages = {SPP-2022-2G-06},
	address = {Legazpi City},
	abstract = {Energy level crossings are degeneracies of two or more energy levels which occur when two levels coincide due to the tuning of an external parameter. In this work, we observe the "motion" of the energy levels in terms of the applied external magnetic field and anisotropy. We demonstrate how the eigenenergies of the anisotropic Lipkin-Meshkov-Glick (LMG) model for the N = 4 spin system shift as a function of the aforementioned parameters. The resulting plots show multiple level crossings as the system becomes isotropic where the LMG model has degenerate ground states along the critical lines determined by the anisotropy parameter. This work has also verified that for the isotropic case, energy level crossings occur exactly at the critical points.},
	url = {https://proceedings.spp-online.org/article/view/SPP-2022-2G-06},
	author = {Andrei Espencer M. Ordonio and Klarence Anne M. Feri and Cristine D. Villagonzalo}
}
@inproceedings {feri2021,
	title = {Specific heat behavior in finite-sized Lipkin-Meshkov-Glick spin system},
	booktitle = {Proceedings of the 39th Samahang Pisika ng Pilipinas Physics Conference},
	year = {2021},
	month = {20{\textendash}22 Oct 2021},
	pages = {SPP-2021-1F-05},
	address = {Presented online},
	abstract = {A quantum heat engine whose working substance is described by the Lipkin-Meshkov-Glick (LMG) model has been shown to improve its efficiency when the LMG system is near its quantum phase transition. It is of interest to know how the specific heat of such an engine will behave under similar conditions. Therefore, in this work, we construct the specific heat curves of the LMG spin system consisting of spin-1/2 particles in a plane of sizes N = 2, 4, 6, 8. Effects of the field strength, temperature, and system size on the specific heat are analyzed. Salient features of the specific heat curve as a function of field strength are observed in relation to the ground state degeneracy that occurs in key field strength values.},
	url = {https://proceedings.spp-online.org/article/view/SPP-2021-1F-05},
	author = {Klarence Anne M. Feri and Cristine Villagonzalo}
}
