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PreprintCC BY 4.0arXiv

Robust Spin Universality Across a Ballistic-to-Diffusive Transport Crossover

  • Cătălin Paşcu Moca
  • Ovidiu I. Pâţu
  • Balázs Dóra
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Abstract

Whether a full counting statistical distribution preserves its universality class across a coherent-to-incoherent crossover is a fundamental question in open quantum systems. We resolve this for the infinite-U Hubbard chain, showing that local density dephasing changes transport exponents without destroying the underlying non-Gaussian M-Wright spin fluctuations. Utilizing the exact spin-charge composition law inherent to impenetrable dynamics, we track the charge sector from ballistic flow to diffusive hydrodynamics. This dissipative crossover shifts the characteristic spin-transfer width from t1/4 to t1/8. Despite this altered scaling time, the central spin characteristic functions uniformly collapse onto a singular M-Wright scaling function, what we confirm using analytics as well as numerics.

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Cite

BibTeXRIS
BibTeX
@misc{moca2026robust,
  title = {{Robust Spin Universality Across a Ballistic-to-Diffusive Transport Crossover}},
  author = {Cătălin Paşcu Moca and Ovidiu I. Pâţu and Balázs Dóra},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.23811},
  eprint = {2609.23811},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.23811},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Robust Spin Universality Across a Ballistic-to-Diffusive Transport Crossover
AU  - Cătălin Paşcu Moca
AU  - Ovidiu I. Pâţu
AU  - Balázs Dóra
PY  - 2026
DA  - 2026/09/20
PB  - arXiv
DO  - 10.48550/arxiv.2609.23811
UR  - https://arxiv.org/abs/2609.23811
AB  - Whether a full counting statistical distribution preserves its universality class across a coherent-to-incoherent crossover is a fundamental question in open quantum systems. We resolve this for the infinite-U Hubbard chain, showing that local density dephasing changes transport exponents without destroying the underlying non-Gaussian M-Wright spin fluctuations. Utilizing the exact spin-charge composition law inherent to impenetrable dynamics, we track the charge sector from ballistic flow to diffusive hydrodynamics. This dissipative crossover shifts the characteristic spin-transfer width from t^1/4 to t^1/8. Despite this altered scaling time, the central spin characteristic functions uniformly collapse onto a singular M-Wright scaling function, what we confirm using analytics as well as numerics.
ER  -