Robust Spin Universality Across a Ballistic-to-Diffusive Transport Crossover
cond-mat.quant-gas
Submitted: 2026-09-20
Updated: 2026-09-20
Comments: 5 pages, 5 figures
License: http://creativecommons.org/licenses/by/4.0/
The gist: Whether a full counting statistical distribution preserves its universality class across a coherent-to-incoherent crossover is a fundamental question in open quantum systems.
Terminology
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 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.
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