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Quantum criticality and dynamical instability in the kicked top

, , , and . (2013)cite arxiv:1308.5640Comment: 5 pages, 3 figures, and supplementary information. Comments are welcome.
DOI: 10.1103/PhysRevLett.112.140408

Abstract

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 a protocol to observe the cusp behavior of the magnetization close to the critical quasienergy.

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Quantum criticality and dynamical instability in the kicked top

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