量子反常与线性响应理论
Quantum anomalies and linear response theory
摘要：
通过对量子化混沌驱动系统中扩散能量扩散的分析，得到了一个普遍的量子反常的出现范式。在经典近似的驱动混沌系统表现出随机扩散的能量空间中的一个系数$D$是成比例的强度$ε^2$的驱动。在相应的量子化问题的相干跃迁的特点是广义Wigner时间$t_ε$，和一个自生成的（本征）退相过程导致非线性依赖的$D$上的$ε^2$。
英文摘要：
The analysis of diffusive energy spreading in quantized chaotic driven systems, leads to a universal paradigm for the emergence of a quantum anomaly. In the classical approximation a driven chaotic system exhibits stochastic-like diffusion in energy space with a coefficient $D$ that is proportional to the intensity $ε^2$ of the driving. In the corresponding quantized problem the coherent transitions are characterized by a generalized Wigner time $t_ε$, and a self-generated (intrinsic) dephasing process leads to non-linear dependence of $D$ on $ε^2$.
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