猝灭泊松分布无序对量子无规行走扩展的抑制
Inhibition of spreading in quantum random walks due to quenched Poisson-distributed disorder
摘要：
我们考虑一个量子粒子（步行者）在一条线上，他根据抛硬币的结果一致地选择向左或向右跳跃。跳跃的长度被认为是独立和同分布的淬火泊松随机变量。我们发现，传播的步行者是显着抑制，从而它居住在附近的原产地地区，相对于的情况下，没有障碍。步行者的猝灭平均色散的标度指数是亚弹道但超扩散的。我们还表明，这些功能是普遍的一类子和超泊松分布淬火随机跳跃。
英文摘要：
We consider a quantum particle (walker) on a line who coherently chooses to jump to the left or right depending on the result of toss of a quantum coin. The lengths of the jumps are considered to be independent and identically distributed quenched Poisson random variables. We find that the spread of the walker is significantly inhibited, whereby it resides in the near-origin region, with respect to the case when there is no disorder. The scaling exponent of the quenched-averaged dispersion of the walker is sub-ballistic but super-diffusive. We also show that the features are universal to a class of sub- and super-Poissonian distributed quenched randomized jumps.
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