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Structure of eigenstates and quench dynamics at an excited-state quantum phase transition
We study the structure of the eigenstates and the dynamics of a system that undergoes an excited-state quantum phase transition (ESQPT). The analysis is performed for two-level pairing models characterized by a $\mathrm{U}(n+1)$ algebraic structure. They exhibit a second-order phase transition between two limiting dynamical symmetries represented by the $\mathrm{U}(n)$ …