Investigating the behavior of noninteracting fermions subjected to local dephasing, we reveal that quasi-particle dephasing can induce superdiffusive transport. This superdiffusion arises from nodal points within the momentum distribution of local dephasing quasi-particles, leading to asymptotic long-lived modes. By studying the dynamics of the Wigner function, we rigorously elucidate how the dynamics of these enduring modes give rise to L\'evy walk processes, a renowned mechanism underlying superdiffusion phenomena. Our research demonstrates the controllability of dynamical scaling exponents by selecting quasi-particles and extends its applicability to higher dimensions, underlining the pervasive nature of superdiffusion in dephasing models.
@article{arxiv.2310.03069,
title = {Superdiffusive Transport in Quasi-Particle Dephasing Models},
author = {Yu-Peng Wang and Chen Fang and Jie Ren},
journal= {arXiv preprint arXiv:2310.03069},
year = {2023}
}