RT Journal Article T1 Characterizing the Lipkin-Meshkov-Glick model excited state quantum phase transition using dynamical and statistical properties of the diagonal entropy A1 Wang, Qian A1 Pérez Bernal, Francisco AB Using the diagonal entropy, we analyze the dynamical signatures of the Lipkin-Meshkov-Glick (LMG) model excited-state quantum phase transition (ESQPT). We first show that the time evolution of the diagonal entropy behaves as an efficient indicator of the presence of an ESQPT. We also compute the probability distribution of the diagonal entropy values over a certain time interval and we find that the resulting distribution provides a clear distinction between the different phases of ESQPT. Moreover, we observe that the probability distribution of the diagonal entropy at the ESQPT critical point has a universal form, well described by a beta distribution, and that a reliable detection of the ESQPT can be obtained from the diagonal entropy central moments. PB American Physical Society SN 1539-3755 YR 2021 FD 2021-03 LK http://hdl.handle.net/10272/19853 UL http://hdl.handle.net/10272/19853 LA eng NO Wang, Q., & Pérez Bernal, F. (2021). Characterizing the Lipkin-Meshkov-Glick model excited-state quantum phase transition using dynamical and statistical properties of the diagonal entropy. Physical Review E, 103(3). DOI: https://doi.org/10.1103/physreve.103.032109 DS Repositorio Institucional de la Universidad de Huelva RD 30 may 2026