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Quantum Criticality and Dynamical Instability in the Kicked-Top Model

Quantum Criticality and Dynamical Instability in the Kicked-Top Model

We investigate precursors of critical behavior in the quasienergy spectrum due to the dynamical instability in the kicked top. Using a semiclassical approach, we analytically obtain a logarithmic divergence in the density of states, which is analogous to a continuous excited state quantum phase transition in undriven systems. We propose …