Crossover between ballistic and diffusive transport: the quantum exclusion process
Crossover between ballistic and diffusive transport: the quantum exclusion process
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DOI：
10.1088/1742-5468/2011/06/p06007
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发表时间：
2011-06-01
影响因子：
2.4
通讯作者：
Eisler, Viktor
中科院分区：
文献类型：
--
作者：
Eisler, Viktor
研究了在相干隧穿和随机马尔可夫噪声同时作用下一维自由费米子系统的演化。我们确定了一类噪声项的相关函数的解耦方程的层次出现。在非相干，最近邻跳跃的特殊情况下，两点函数的方程显式求解。的绿色函数的颗粒密度得到解析和时间尺度确定的交叉从弹道扩散行为发生。结果可以解释为两种类型的传导通道之间的竞争，其中扩散在大的时间尺度上占主导地位。
We study the evolution of a system of free fermions in one dimension under the simultaneous effects of coherent tunneling and stochastic Markovian noise. We identify a class of noise terms where a hierarchy of decoupled equations for the correlation functions emerges. In the special case of incoherent, nearest-neighbor hopping the equation for the two-point functions is solved explicitly. The Green's function for the particle density is obtained analytically and a time scale is identified where a crossover from ballistic to diffusive behavior takes place. The result can be interpreted as a competition between the two types of conduction channels where diffusion dominates on large timescales.