Artículo
Excited-state Quantum Phase Transitions in the Anharmonic Lipkin-Meshkov-Glick Model: Dynamical Aspects
Autor/es | Khalouf Rivera, Yamil
Gamito, J. Pérez Bernal, Francisco Arias Carrasco, José Miguel Pérez Fernández, Pedro |
Departamento | Universidad de Sevilla. Departamento de Física Atómica, Molecular y Nuclear Universidad de Sevilla. Departamento de Física Aplicada III |
Fecha de publicación | 2023 |
Fecha de depósito | 2024-01-09 |
Publicado en |
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Resumen | 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 LMG ... 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 LMG Hamiltonian gives rise to a second ESQPT that alters the static properties of the model [Gamito, Phys. Rev. E 106, 044125 (2022)2470-004510.1103/PhysRevE.106.044125]. 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. |
Agencias financiadoras | Ministerio de Ciencia e Innovación (MICIN). España European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) Junta de Andalucía Ministerio de Economía y Competitividad (MINECO). España |
Identificador del proyecto | PID2019-104002GB-C21
PID2019-104002GB-C22 PID2020-114687GB-I00 UHU-1262561 PY2000764 US-1380840 P20_01247 UNHU-15CE-2848 |
Cita | Khalouf Rivera, Y., Gamito, J., Pérez Bernal, F., Arias Carrasco, J.M. y Pérez Fernández, P. (2023). Excited-state Quantum Phase Transitions in the Anharmonic Lipkin-Meshkov-Glick Model: Dynamical Aspects. Physical Review E, 107 (6), 064134. https://doi.org/10.1103/PhysRevE.107.064134. |
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