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Superdiffusive transport in quasi-particle dephasing models

by Yu-Peng Wang, Chen Fang, Jie Ren

Submission summary

Authors (as registered SciPost users): Jie Ren
Submission information
Preprint Link: scipost_202406_00037v2  (pdf)
Date submitted: 2024-10-07 16:06
Submitted by: Ren, Jie
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • Atomic, Molecular and Optical Physics - Theory
  • Condensed Matter Physics - Theory
  • Mathematical Physics
Approach: Theoretical

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 Levy 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.

Author indications on fulfilling journal expectations

  • Provide a novel and synergetic link between different research areas.
  • Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
  • Detail a groundbreaking theoretical/experimental/computational discovery
  • Present a breakthrough on a previously-identified and long-standing research stumbling block

Author comments upon resubmission

Dear Editor,

We are pleased to resubmit our revised manuscript. We have carefully addressed the reviewers' comments and suggestions, which we believe have improved the clarity and robustness of the manuscript. We appreciate the reviewers’ valuable feedback and the opportunity to improve our work, and we hope that the revised version meets the expectations for publication.

Thank you for your consideration.

Sincerely,
Jie Ren
On behalf of all co-authors

List of changes

1. We have now included citations mentioned by reviewers.
2. We change the claim (line 93-94) that "the scaling function does not conform to the KPZ universality class due to a ballistic wavefront." to "the scaling function does not conform to the KPZ universality class.".
3. We replace the word "hydrodynamics" with "Wigner function dynamics" throughout the revised manuscript to avoid any confusion.
4. We have added comments in the main text (now in line 117) to clarify the point as reviewer suggested.

Current status:
Voting in preparation

Reports on this Submission

Report #1 by Anonymous (Referee 1) on 2024-10-28 (Invited Report)

Report

The authors have addressed changes requested, so I am fine with publication.

Recommendation

Publish (meets expectations and criteria for this Journal)

  • validity: high
  • significance: good
  • originality: high
  • clarity: high
  • formatting: good
  • grammar: good

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