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Open Quantum Systems Decoherence Quantum Simulation

Quantum chaos measures for Floquet dynamics

arXiv
Authors: Amin A. Nizami

Year

2020

Paper ID

22230

Status

Preprint

Abstract Read

~2 min

Abstract Words

112

Citations

N/A

Abstract

Periodically kicked Floquet systems such as the kicked rotor are a paradigmatic and illustrative simple model of chaos. For non-integrable quantum dynamics there are several diagnostic measures of the presence of (or the transition to) chaotic behaviour including the Loschmidt echo, autocorrelation function and OTOC. We analytically compute these measures in terms of the eigensystem of the unitary Floquet operator of driven quantum systems. We use these expressions to determine the time variation of the measures for the quantum kicked rotor on the torus, for the integrable as well as the chaotic case. For a simpler integrable variant of the kicked rotor, we also give a representation theoretic derivation of its dynamics.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2020 reference point for readers tracking recent quantum research.
  • Periodically kicked Floquet systems such as the kicked rotor are a paradigmatic and illustrative simple model of chaos.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2007.07283 [2] arXiv https://arxiv.org/abs/2007.07283 [3] Publisher https://arxiv.org/abs/2007.07283

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