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Quantum Algorithms

Quantum criticality and dynamical instability in the kicked top

arXiv
Authors: V. M. Bastidas, P. Perez-Fernandez, M. Vogl, T. Brandes

Year

2013

Paper ID

33059

Status

Preprint

Abstract Read

~2 min

Abstract Words

65

Citations

N/A

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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  • It adds a 2013 reference point for readers tracking recent quantum research.
  • We investigate precursors of critical behavior in the quasienergy spectrum due to the dynamical instability in the kicked top.

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