On the static effective Hamiltonian of a rapidly driven nonlinear system
| Autor: | Jayameenakshi Venkatraman, Xu Xiao, Rodrigo G. Cortiñas, Alec Eickbusch, Michel H. Devoret |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Quantum Physics
Condensed Matter - Mesoscale and Nanoscale Physics Atomic Physics (physics.atom-ph) Mesoscale and Nanoscale Physics (cond-mat.mes-hall) General Physics and Astronomy FOS: Physical sciences Mathematical Physics (math-ph) Quantum Physics (quant-ph) Mathematical Physics Physics - Atomic Physics |
| Popis: | 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. 5 pages, 3 figures |
| Databáze: | OpenAIRE |
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