振动势阱中冷原子加热率的半线性响应
Semilinear response for the heating rate of cold atoms in vibrating traps
摘要:
计算冷原子在振动陷阱中的加热率需要一个超越久保线性响应公式的理论。如果一个强的“量子混沌”假设不成立,过渡的分析显示出与能量空间中的渗流问题的相似性。我们展示了如何纹理和稀疏的扰动矩阵,由系统的几何形状,支配的结果。提出了一种改进的稀疏随机矩阵模型,它抓住了问题的本质,并得到了一种广义的变距离跳变图像。
英文摘要:
The calculation of the heating rate of cold atoms in vibrating traps requires a theory that goes beyond the Kubo linear response formulation. If a strong "quantum chaos" assumption does not hold, the analysis of transitions shows similarities with a percolation problem in energy space. We show how the texture and the sparsity of the perturbation matrix, as determined by the geometry of the system, dictate the result. An improved sparse random matrix model is introduced: it captures the essential ingredients of the problem, and leads to a generalized variable range hopping picture.
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