@misc{10481/85180,
year = {2023},
month = {6},
url = {https://hdl.handle.net/10481/85180},
abstract = {The standard Lipkin-Meshkov-Glick (LMG) model undergoes a second-order ground-state quantum phase
transition (QPT) and an excited-state quantum phase transition (ESQPT). The inclusion of an anharmonic term
in the LMGHamiltonian gives rise to a second ESQPT that alters the static properties of the model [Gamito et al.,
Phys. Rev. E 106, 044125 (2022)]. In the present work, the dynamical implications associated to this new ESQPT
are analyzed. For that purpose, a quantum quench protocol is defined on the system Hamiltonian that takes an
initial state, usually the ground state, into a complex excited state that evolves on time. The impact of the new
ESQPT on the time evolution of the survival probability and the local density of states after the quantum quench,
as well as on the Loschmidt echoes and the microcanonical out-of-time-order correlator (OTOC) are discussed.
The anharmonity-induced ESQPT, despite having a different physical origin, has dynamical consequences
similar to those observed in the ESQPT already present in the standard LMG model.},
organization = {MCIN/AEI	PID2019-104002GB- C22
PID2020-114687GB-I00
UHU-1262561},
organization = {European Union (EU)	US-1380840
P20_01247
UNHU-15CE-2848},
organization = {Junta de Andalucia},
organization = {Consejeria de Economia, Conocimiento, Empresas y Universidad, Junta de An- dalucia (Spain)},
organization = {Spanish Government},
organization = {Junta de Andalucia},
organization = {CEAFMC},
organization = {Universidad de Huelva High Performance Computer (HPC@UHU) located in the Campus Universitario el Carmen},
organization = {ERDF-A Way of Making Europe},
organization = {European Union (EU)		
PID2019-104002GB-C21
PY2000764},
publisher = {American Physical Society},
title = {Excited-state quantum phase transitions in the anharmonic Lipkin-Meshkov-Glick model: Dynamical aspects},
doi = {10.1103/PhysRevE.107.064134},
author = {Khalouf Rivera, Jamil and Gamito, Juan and Pérez Bernal, Francisco and Arias Peñalver, José María and Pérez Fernández, Pedro},
}