论文标题

近似两种模式的两光子兔模型

Approximating the two-mode two-photon Rabi model

论文作者

Wu, David H., Albert, Victor V.

论文摘要

RABI模型描述了几个级别的系统和骨气模式之间最简单的非平凡相互作用,该模式在多个看似无关的对量子科学和技术的重要性系统中。尽管已经获得了该模型能量及其几种模式扩展的精确表达式,但它们涉及先验功能的根,因此繁琐且不直觉。利用对称的广义旋转波近似(S-GRWA),我们开发了一个近似值的家族,以对两种模式的两光型兔模型的能量。家族最简单的要素是可以在分析上处理的,可以在诸如超强和深度耦合等感兴趣的方案中获得良好的近似值。如果需要更准确性,则可以使用高阶近似能量。

The Rabi model describes the simplest nontrivial interaction between a few-level system and a bosonic mode, featuring in multiple seemingly unrelated systems of importance to quantum science and technology. While exact expressions for the energies of this model and its few-mode extensions have been obtained, they involve roots of transcendental functions and are thus cumbersome and unintuitive. Utilizing the symmetric generalized rotating wave approximation (S-GRWA), we develop a family of approximations to the energies of the two-mode two-photon Rabi model. The simplest elements of the family are analytically tractable, providing good approximations in regimes of interest such as ultra- and deep-strong coupling. Higher-order approximate energies can be used if more accuracy is required.

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