双 kicked 棘轮模型中粒子香农熵演化的研究

摘要

The Delta-kicked model is a Hamiltonian model of the ratchet effect. In the double ratchet ratchet model, two different frequencies of the flashing potential alternately with a uniform zero momentum initial state of particles in a, excited in the quantum resonance conditions, model appeared ratchet effect. Under different quantum resonances, the evolution of the Shannon entropy of the particles has different rules. The study shows that the quantum resonance is excited by the analysis of the Shannon entropy evolution.%Delta-kicked 模型是可以实现棘轮效应的哈密顿型量子模型。在双 kicked 型棘轮模型中，2个频率不同的闪烁势交替作用于1个具有均匀零动量初态的粒子，在量子共振被激发的条件下，模型中便出现棘轮效应。在不同的量子共振下，粒子香农熵演化出现了不同的规律。研究表明从香农熵演化的角度分析，可以更好地判断量子共振是否被激发。