Superdiffusive Transport in Quasi-Particle Dephasing Models

• URL: http://arxiv.org/abs/2310.03069v2
• Date: Fri, 15 Dec 2023 02:17:21 GMT
• Title: Superdiffusive Transport in Quasi-Particle Dephasing Models
• Authors: Yu-Peng Wang, Chen Fang, and Jie Ren
• Abstract summary: We show that quasi-particle dephasing can induce superdiffusive transport. Superdiffusion arises from nodal points within the momentum distribution of local dephasing quasi-particles.
• Score: 7.470473448588115
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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