Ermann Leonardo, Carlo Gabriel G, Pedrosa Juan M, Saraceno Marcos
Departamento de Física Teórica, GIyA, Comisión Nacional de Energía Atómica, Buenos Aires, Argentina.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Jun;85(6 Pt 2):066204. doi: 10.1103/PhysRevE.85.066204. Epub 2012 Jun 6.
We study families of open chaotic maps that classically share the same asymptotic properties--forward and backward trapped sets, repeller dimensions, and escape rate--but differ in their short time behavior. When these maps are quantized we find that the fine details of the distribution of resonances and the corresponding eigenfunctions are sensitive to the initial shape and size of the openings. We study phase space localization of the resonances with respect to the repeller and find strong delocalization effects when the area of the openings is smaller than ℏ.
我们研究了一族开放混沌映射，它们在经典情况下具有相同的渐近性质——向前和向后捕获集、排斥子维度以及逃逸率，但在短时间行为上有所不同。当对这些映射进行量子化时，我们发现共振分布的精细细节以及相应的本征函数对开口的初始形状和大小敏感。我们研究了共振相对于排斥子的相空间局域化，发现当开口面积小于ℏ时会有很强的非局域化效应。
