Variational principle for time-periodic quantum systems

• URL: http://arxiv.org/abs/2010.14829v1
• Date: Wed, 28 Oct 2020 09:02:23 GMT
• Title: Variational principle for time-periodic quantum systems
• Authors: Nils Kr\"uger
• Abstract summary: The principle is particularly well suited for tracing individual Floquet states through parameter space. It may allow one to obtain Floquet states even for very high-dimensional systems which cannot be treated by the known standard numerical methods.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: A variational principle enabling one to compute individual Floquet states of a periodically time-dependent quantum system is formulated, and successfully tested against the benchmark system provided by the analytically solvable model of a linearly driven harmonic oscillator. The principle is particularly well suited for tracing individual Floquet states through parameter space, and may allow one to obtain Floquet states even for very high-dimensional systems which cannot be treated by the known standard numerical methods.

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