论文标题
非马克维亚量子跳的扩散极限
Diffusive limit of non-Markovian quantum jumps
论文作者
论文摘要
我们解决了两个长期存在的问题，用于对开放量子系统动力学的随机描述。首先，我们发现在投射希尔伯特空间中对应于非马克维亚量子状态扩散和非马克维亚量子的经典随机过程。其次，我们表明，非马克维亚量子跳跃的扩散极限可以在传播的希尔伯特空间上采取，以使其与非马克维亚量子态扩散相吻合。但是，希尔伯特空间所采取的同样限制导致了一个全新的扩散分散，我们称之为非马克维亚量子扩散。此外，我们通过使用内核平滑技术可以扩大非马克维亚量子跳跃和非马克维亚量子扩散的适用性。最后，我们通过使用所有三种方法在非马克维亚政权中研究驱动的耗散两个级原子来证明结果的适用性。
We solve two long standing problems for stochastic descriptions of open quantum system dynamics. First, we find the classical stochastic processes corresponding to non-Markovian quantum state diffusion and non-Markovian quantum jumps in projective Hilbert space. Second, we show that the diffusive limit of non-Markovian quantum jumps can be taken on the projective Hilbert space in such a way that it coincides with non-Markovian quantum state diffusion. However, the very same limit taken on the Hilbert space leads to a completely new diffusive unraveling, which we call non-Markovian quantum diffusion. Further, we expand the applicability of non-Markovian quantum jumps and non-Markovian quantum diffusion by using a kernel smoothing technique allowing a significant simplification in their use. Lastly, we demonstrate the applicability of our results by studying a driven dissipative two level atom in a non-Markovian regime using all of the three methods.
