Venkatraman Jayameenakshi, Xiao Xu, Cortiñas Rodrigo G, Eickbusch Alec, Devoret Michel H
Department of Applied Physics and Physics, Yale University, New Haven, Connecticut 06520, USA.
Phys Rev Lett. 2022 Sep 2;129(10):100601. doi: 10.1103/PhysRevLett.129.100601.
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 sheds light on the relationship between seemingly disconnected independently developed methods in the literature and has direct applications in quantum engineering.
我们给出了一个用于计算快速振荡驱动下系统静态有效哈密顿量的递归公式。我们的解析结果非常适合计算机进行的符号计算，并且可以实现到任意阶数，从而克服了现有含时微扰方法的局限性，实现了以前无法进行的计算。我们还提供了一个用于计算的简单图解工具并处理了示例。通过构造，我们的方法直接适用于量子和经典系统；差异留待低级子程序处理。这揭示了文献中看似不相关的独立发展方法之间的关系，并在量子工程中有直接应用。
