Quantum chaos measures for Floquet dynamics
- URL: http://arxiv.org/abs/2007.07283v2
- Date: Fri, 31 Jul 2020 13:11:16 GMT
- Title: Quantum chaos measures for Floquet dynamics
- Authors: Amin A. Nizami
- Abstract summary: We analytically compute the eigensystem of the unitary Floquet operator of driven quantum systems.
For a simpler integrable variant of the kicked rotor, we give a representation theoretic of its dynamics.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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, Wigner function,
spectral function and OTOC. We analytically compute these measures in terms of
the eigensystem of the unitary Floquet operator of driven quantum systems. We
also determine equivalent alternative forms of the eigen-equation of the
Floquet operator for the quantum kicked rotor. For a simpler integrable variant
of the kicked rotor, we give a representation theoretic derivation of its
dynamics.
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