RT Journal Article T1 Unifying finite-temperature dynamical and excited-state quantum phase transitions A1 Corps, Angel L. A1 Relaño Pérez, Armando A1 Halimeh, Jad C. AB In recent years, various notions of dynamical phase transitions have emerged to describe far-from-equilibrium criticality. A unifying framework connecting these different concepts is still missing, and would provide significant progress toward understanding far-from-equilibrium quantum many-body universality. Initializing our system in a thermal ensemble and subsequently performing quantum quenches in the Lipkin-Meshkov-Glick model, we establish a direct connection between excited-state quantum phase transitions (ESQPTs) and two major types of dynamical phase transitions (DPTs), by relating the phases of the latter to the critical energies and conservation laws in the former. Our work provides further insight into how various concepts of non-ground-state criticality are intimately connected, paving the way for a unified framework of far-from-equilibrium universality. PB American Physical Society YR 2024 FD 2024-11-01 LK https://hdl.handle.net/20.500.14352/136514 UL https://hdl.handle.net/20.500.14352/136514 LA eng NO Corps, Ángel L., et al. «Unifying Finite-Temperature Dynamical and Excited-State Quantum Phase Transitions». Physical Review Research, vol. 6, n.o 4, noviembre de 2024, p. 043080. DOI.org (Crossref), https://doi.org/10.1103/PhysRevResearch.6.043080. NO Beca: InPhyNIT Retaining (LCF/BQ/DR21/11880024) NO Ministerio de Ciencia e Innovación (España) NO Fundación La Caixa NO German Research Foundation DS Docta Complutense RD 21 may 2026