两能级系统耦合多个玻色热库中量子速度极限研究

Quantum speed limit of two-level system coupled to multiple Bosonic reservoirs

研究了一个二能级原子与多个玻色热库耦合的物理模型,得到了该模型量子速度极限的解析表达式。分析表明,只要热库的数量满足一定的条件,不管是强耦合还是弱耦合,系统都会表现为非马尔科夫效应;数值模拟表明,系统的非马尔可夫效应会随着热库数增加呈现不断增加的趋势。进一步研究表明,非马尔科夫效应越强,量子系统的演化加速得越快。

A physical model for a two-level atom simultaneously coupled to multiple Bosonic reservoirs is investigated.The explicit expression of quantum speed limit is obtained.Analysis shows that as long as the number of reservoirs satisfies certain conditions,whether it is strong coupling or weak coupling,the system will show a non-Markov effect.Numerical simulation shows that the non-Markovian effect of the system increases with the increasing of reservoir number.Further investigation shows that the stronger the non-Markov effect is,the faster the evolution acceleration of quantum system will be.