Kolovsky A R, Korsch H J
Max-Planck-Institut für Physik Komplexer Systeme, D-01187 Dresden, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Oct;68(4 Pt 2):046202. doi: 10.1103/PhysRevE.68.046202. Epub 2003 Oct 3.
Quantum diffusion in a biased kicked Harper system, modeling field-induced transport in superlattices, is studied for fully chaotic dynamics of the underlying classical system. Under these conditions, the classical transport is diffusive whereas the quantum diffusion can be either enhanced or suppressed for commensurable or incommensurable ratio of the Bloch period to the driving period, respectively. The quantum transport properties are related to the statistical properties of the quasienergy spectra as described by random matrix theory.
研究了在有偏置的受驱哈珀系统中的量子扩散,该系统用于模拟超晶格中的场致输运,研究对象是基础经典系统的完全混沌动力学。在这些条件下,经典输运是扩散性的,而对于布洛赫周期与驱动周期的可公度或不可公度比值,量子扩散分别可以增强或抑制。量子输运性质与随机矩阵理论所描述的准能谱的统计性质相关。