论文标题
有限动量晶格上相互作用的量子气体动力学的数值模拟方法
Method of numerical simulation of interacting quantum gas kinetics on finite momentum lattice
论文作者
论文摘要
我们介绍了基于有限动量晶格上相互作用的量子气体动力学的有效和通用数值方法，该方法基于占用数字的玻尔兹曼方程。通常，对具有两粒子相互作用的模型的研究会在方程式中产生过多的项，从而基本上限制了可能的系统大小。在这里，我们采用原始分析转换来减少计算量的缩放指数。结果，可以模拟高达48x48x48的晶格尺寸，从而可以通过复杂的相互作用模型研究现实的问题。该方法应用于模拟弱相互作用的费米和bose气体，根据动量和温度，我们计算了松弛时间。
We present the efficient and universal numerical method for simulation of interacting quantum gas kinetics on a finite momentum lattice, based on the Boltzmann equation for occupation numbers. Usually, the study of models with two-particle interaction generates the excessive amount of terms in the equations essentially limiting the possible system size. Here we employ the original analytical transformation to decrease the scaling index of the amount of calculations. As a result, lattice sizes as large as 48x48x48 can be simulated, allowing to study realistic problems with complex interaction models. The method was applied to the simulation of weakly interacting Fermi and Bose gases where we calculated the relaxation times depending on the momentum and temperature.
