We study the evolution of the energy distribution for a stadium with movingwalls. We consider one period driving cycle, which is characterized by anamplitude $A$ and wall velocity $V$. This evolving energy distribution has both"parametric" and "stochastic" components. The latter are important for thetheory of quantum irreversibility and dissipation in driven mesoscopic devices(eg in the context of quantum computation). For extremely slow wall velocity$V$ the spreading mechanism is dominated by transitions between neighboringlevels, while for larger (non-adiabatic) velocities the spreading mechanism hasboth perturbative and non-perturbative features. We present, for the firsttime, a numerical study which is aimed in identifying the latter features. Aprocedure is developed for the determination of the various $V$ regimes. Thepossible implications on linear response theory are discussed.
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机译：我们研究了带有活动墙的体育场的能量分布演变。我们考虑一个周期的驾驶周期，其特征在于振幅$ A $和壁速度$ V $。这种不断变化的能量分布具有“参数”和“随机”成分。后者对于被驱动介观装置中的量子不可逆和耗散理论（例如，在量子计算的背景下）非常重要。对于极慢的壁速度，扩散机制主要由相邻层之间的过渡决定，而对于较大的（非绝热）速度，扩散机制具有扰动和非扰动特征。我们首次提出了旨在识别后一特征的数值研究。开发了用于确定各种$ V $制度的程序。讨论了对线性响应理论的可能含义。
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