On the static effective Hamiltonian of a rapidly driven nonlinear system

• URL: http://arxiv.org/abs/2108.02861v2
• Date: Wed, 12 Jan 2022 20:29:38 GMT
• Title: On the static effective Hamiltonian of a rapidly driven nonlinear system
• Authors: Jayameenakshi Venkatraman, Xu Xiao, Rodrigo G. Corti\~nas, Alec Eickbusch, Michel H. Devoret
• Abstract summary: We present a formula for the computation of the static effective Hamiltonian of a system under a fast-oscillating drive. Our result is well-suited to symbolic calculations performed by a computer.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We present a recursive formula for the computation of the static effective Hamiltonian of a system under a fast-oscillating drive. Our analytical result is well-suited to symbolic calculations performed by a computer and can be implemented to arbitrary order, thus overcoming limitations of existing time-dependent perturbation methods and allowing computations that were impossible before. We also provide a simple diagrammatic tool for calculation and treat illustrative examples. By construction, our method applies directly to both quantum and classical systems; the difference is left to a low-level subroutine. This aspect sheds light on the relationship between seemingly disconnected independently developed methods in the literature and has direct applications in quantum engineering.

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