论文标题
时间依赖性变分原理具有矩阵量状态的受控键扩展
Time-dependent variational principle with controlled bond expansion for matrix product states
论文作者
论文摘要
我们提出了一种受控键扩展（CBE）方法，以基于矩阵乘积状态的时间依赖性变分原理（TDVP）来模拟量子动力学。我们的方法通过增加键合尺寸以减少投影误差来减轻标准，固定级的单位TDVP积分器的数值困难。这是以经济的当地方式实现的，仅需要对标准的一站式TDVP实现进行微小修改。我们用有限量子晶格的几个数值示例说明了CBE-TDVP的性能。
We present a controlled bond expansion (CBE) approach to simulate quantum dynamics based on the time-dependent variational principle (TDVP) for matrix product states. Our method alleviates the numerical difficulties of the standard, fixed-rank one-site TDVP integrator by increasing bond dimensions on the fly to reduce the projection error. This is achieved in an economical, local fashion, requiring only minor modifications of standard one-site TDVP implementations. We illustrate the performance of CBE--TDVP with several numerical examples on finite quantum lattices.
