SciPost Physics (Dec 2024)

Superdiffusive transport in quasi-particle dephasing models

  • Yu-Peng Wang, Chen Fang, Jie Ren

DOI
https://doi.org/10.21468/SciPostPhys.17.6.150
Journal volume & issue
Vol. 17, no. 6
p. 150

Abstract

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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 Lévy 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.