Quantum Mechanics in Technicolor; Analytic Expressions for a Spin-Half Particle Driven by Polychromatic Light
Quantum Mechanics in Technicolor; Analytic Expressions for a Spin-Half Particle Driven by Polychromatic Light
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彩色量子力学；
DOI：
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发表时间：
2018
期刊：
影响因子：
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通讯作者：
B. Yuen
中科院分区：
文献类型：
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作者：
B. Yuen
单频拉比模型描述了大量的光-物质相互作用。然而，物理世界是多色的，直到现在还没有找到多频拉比模型的解析解的通用方法。提出了求解具有N个频率模式的Rabi模型的第一种通用方法。导出了自旋半粒子在多频相干场中的解析表达式，即使在强相互作用下也能精确地描述时间演化。动力学解决了在一个扩展的打扮原子图片，从而逐步打扮每个频率模式的自旋。对于弱场，原子或其类似物的时间演化的封闭形式表达式采取特别简单的形式。这些结果解析地解决了包括量子信息处理、相干控制和共振非线性光学在内的广泛领域的问题。
A vast collection of light-matter interactions are described by the single-frequency Rabi model. However, the physical world is polychromatic, and until now there is no general method to find analytic solutions to the multi-frequency Rabi model. We present the first general method to solve the Rabi model with N frequency modes. Analytic expressions are derived for a spin-half particle in a multi-frequency coherent field, and accurately describe the time evolution even when the interactions are strong. The dynamics are solved in an extended dressed atom picture whereby the spin is progressively dressed by each frequency mode. For weak fields, the closed form expressions for the time evolution of atoms or their analogues take a particularly simple form. These results analytically solve problems in a wide range of fields including quantum information processing, coherent control and resonant nonlinear optics.