论文标题
与有限浴的Aubry-André-Harper模型中的开放动力学：在系统中定位的影响和浴室的尺寸
Open dynamics in the Aubry-André-Harper model coupled to a finite bath: the influence of localization in the system and dimensionality of bath
论文作者
论文摘要
在Aubry-André-Harper（aah）模型中研究了单个激发的种群演变，并结合了$ d（= 1,2,3）$ - 尺寸简单的晶格浴室，重点是系统中定位的效果和浴室的尺寸。通过对时间无关的Schrödinger方程进行精确评估，可以确定系统的能量水平降低。发现降低能量水平与浴缸尺寸显示出显着相关性。随后，在系统和浴室中都研究了激发时间的演变。发现系统中的激发可以在$ d = 1 $或指数$ d = 2,3 $时超高衰减。关于浴室的有限性质，还研究了激发在晶格浴中的传播。我们发现，根据浴室的尺寸和初始状态，激发在浴缸中的传播是扩散的或行为定位。
The population evolution of single excitation is studied in the Aubry- André- Harper (AAH) model coupled to a $d (=1,2,3)$-dimensional simple lattices bath with a focus on the effect of localization in the system and the dimensionality of bath. By performing a precise evaluation of time-independent Schrödinger equation, the reduced energy levels of the system can be determined. It is found that the reduce energy levels show significant relevance for the bath dimensions. Subsequently, the time evolution of excitation is studied in both the system and bath. It is found that excitation in the system can decay super-exponentially when $d=1$ or exponentially when $d=2,3$. Regarding the finite nature of bath, the spreading of excitation in the lattices bath is also studied. We find that, depending on the dimensions of bath and the initial state, the spreading of excitation in the bath is diffusive or behaves localization.
