2011/04/20 by Viktor Eisler · 1 citation
Physics and Astronomy · #cond-mat.stat-mech
paper · pdf · doi:10.1088/1742-5468/2011/06/p06007
published as J. Stat. Mech. (2011) P06007 · 20 pages, 5 figures
arxiv created 2011/04/20 · arxiv updated 2015/05/27
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-neighbour hopping the equation for the two-point functions is solved explicitly. The Green's function for the particle density is obtained analytically and a timescale is identified where a crossover from ballistic to diffusive behaviour takes place. The result can be interpreted as a competition between the two types of conduction channels where diffusion dominates on large timescales.