Effective Hamiltonians for almost-periodically driven quantum systems

• URL: http://arxiv.org/abs/2001.04127v2
• Date: Wed, 25 Aug 2021 09:33:13 GMT
• Title: Effective Hamiltonians for almost-periodically driven quantum systems
• Authors: David Viennot
• Abstract summary: We present an effective Hamiltonian theory available for some quasi-periodically driven quantum systems. It could also be available for some chaotically driven quantum systems.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We present an effective Hamiltonian theory available for some quasi-periodically driven quantum systems which does not need the knowledge of the Fourier frequencies of the control signal. It could also be available for some chaotically driven quantum systems. It is based on the Koopman approach which generalizes the Floquet approach used with periodically driven systems. We show the properties of the quasi-energy states (eigenvectors of the effective Hamiltonian) as quasi-recurrent states of the quantum system.

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