Hyper-transport and superdiffusion in a non-interacting two-particle quantum walk with dynamic disorder

Abstract

In this work, we report on a theoretical investigation of one-dimensional non-interacting two-particle quantum walk with discrete-time evolution, under the influence of a dynamic disorder. We have analyzed how the initial wavefunction symmetry and phase disorder distribution affect the quantum walk final coincidence probability and transport characteristics. By adjusting the disorder degree of randomness, we observe the emergence of various diffusion regimes, ranging from regular diffusion, characteristic of a classical stochastic process to the ballistic spreading of quantum systems. For the fermionic quantum walk, it is possible to go beyond the ballistic behavior and obtain the hyper-transport propagation regime.