Article
Excited-state Quantum Phase Transitions in the Anharmonic Lipkin-Meshkov-Glick Model: Static Aspects
Author/s | Gamito, J.
Khalouf Rivera, Yamil Arias Carrasco, José Miguel ![]() ![]() ![]() ![]() ![]() ![]() ![]() Pérez Fernández, Pedro ![]() ![]() ![]() ![]() ![]() ![]() Pérez Bernal, Francisco |
Department | Universidad de Sevilla. Departamento de Física Atómica, Molecular y Nuclear Universidad de Sevilla. Departamento de Física Aplicada III |
Publication Date | 2022 |
Deposit Date | 2024-01-09 |
Published in |
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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 ... 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. |
Funding agencies | Ministerio de Ciencia e Innovación (MICIN). España European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) Junta de Andalucía Ministerio de Economia, Industria y Competitividad (MINECO). España |
Project ID. | PID2019-104002GB-C21
![]() PID2019104002GB-C22 ![]() PID2020-114687GB-I00 ![]() UHU-1262561 ![]() US-1380840 ![]() P20_01247 ![]() UNHU-15CE-2848 ![]() |
Citation | Gamito, J., Khalouf Rivera, Y., Arias Carrasco, J.M., Pérez Fernández, P. y Pérez Bernal, F. (2022). Excited-state Quantum Phase Transitions in the Anharmonic Lipkin-Meshkov-Glick Model: Static Aspects. Physical Review E, 106 (4), 044125. https://doi.org/10.1103/PhysRevE.106.044125. |
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