@misc{10481/78499, year = {2022}, month = {10}, url = {https://hdl.handle.net/10481/78499}, abstract = {The basic Lipkin-Meshkov-Glick model displays a second-order ground-state quantum phase transition and an excited-state quantum phase transition (ESQPT). The inclusion of an anharmonic term in the Hamiltonian implies a second ESQPT of a different nature. We characterize this ESQPT using the mean field limit of the model. The alternative ESQPT, associated with the changes in the boundary of the finite Hilbert space of the system, can be properly described using the order parameter of the ground-state quantum phase transition, the energy gap between adjacent states, the participation ratio, and the quantum fidelity susceptibility.}, organization = {I + D + i Projects - MCIN/AEI PID2019-104002GB-C21 PID2019104002GB-C22 PID2020-114687GB-I00 MCIN/AEI/10.13039/501100011033}, organization = {Junta de Andalucia}, organization = {European Commission UHU-1262561 US-1380840}, organization = {Junta de Andalucia P20_01247}, organization = {ERDF-A Way of Making Europe European Commission}, organization = {Spanish Government UNHU-15CE-2848}, organization = {European Union NextGenerationEU/PRTR}, publisher = {American Physical Society}, title = {Excited-state quantum phase transitions in the anharmonic Lipkin-Meshkov-Glick model: Static aspects}, doi = {10.1103/PhysRevE.106.044125}, author = {Gamito, J. and Arias, J. M. and Pérez Fernández, P. and Pérez Bernal, Francisco}, }