RT Journal Article
T1 Excited-state quantum phase transitions in the anharmonic Lipkin-Meshkov-Glick model: Static aspects
A1 Gamito, J.
A1 Khalouf-Rivera, Jamil
A1 Arias Carrasco, José Miguel
A1 Pérez Fernández, Pedro
A1 Pérez Bernal, Francisco
AB 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.
PB American Physical Society
SN 2470-0045
SN 2470-0053 (electrónico)
YR 2022
FD 2022
LK https://hdl.handle.net/10272/21797
UL https://hdl.handle.net/10272/21797
LA eng
NO Gamito, J., Khalouf-Rivera, J., Arias, J. M., Pérez-Fernández, P., & Pérez-Bernal, F. (2022). Excited-state quantum phase transitions in the anharmonic Lipkin-Meshkov-Glick model: Static aspects. In Physical Review E (Vol. 106, Issue 4). American Physical Society (APS). https://doi.org/10.1103/physreve.106.044125
NO TheauthorsthankJoséEnriqueGarcíaRamosandMiguel CarvajalZaeraforfruitfulandinspiringdiscussionson thetopicofthispaper.ThisworkispartoftheI+ D+iProjectsNo.PID2019-104002GB-C21,No.PID2019104002GB-C22,andNo.PID2020-114687GB-I00funded byGrantNo.MCIN/AEI/10.13039/501100011033.This workwasalsopartiallysupportedbytheConsejeríade Conocimiento,InvestigaciónyUniversidad,JuntadeAndalucíaandEuropeanRegionalDevelopmentFund(ERDF), GrantsNo.UHU-1262561andNo.US-1380840anditisalso partofgrantgroupsFQM-160andFQM-287andtheproject PAIDI2020ProjectNo.P20_01247,fundedbytheConsejeríadeEconomía,Conocimiento,EmpresasyUniversidad, JuntadeAndalucía(Spain)andERDF—AWayofMaking Europe,bytheEuropeanUnionorbytheEuropeanUnion NextGenerationEU/PRTR.Computingresourcessupporting thisworkwereprovidedbytheCEAFMCandUniversidadde HuelvaHighPerformanceComputerlocatedintheCampus UniversitarioelCarmenandfundedbyFEDER/MINECO ProjectNo.UNHU-15CE-2848.
DS Repositorio Institucional de la Universidad de Huelva
RD 10 may 2026