Unconventional Universality Class of One-Dimensional Isolated Coarsening Dynamics in a Spinor Bose Gas

TL;DR

This paper uncovers an unusual universal scaling law in the coarsening dynamics of a one-dimensional spinor Bose gas, revealing exponential integral behavior distinct from traditional power-law or logarithmic patterns.

Contribution

It introduces a novel universal dynamical scaling law for spin correlation growth in a 1D spinor Bose gas, supported by analytical and numerical evidence.

Findings

Discovered exponential integral scaling in spin correlation growth

Validated analytical predictions with numerical simulations

Identified a new universality class in coarsening dynamics

Abstract

By studying the coarsening dynamics of a one-dimensional spin-1 Bose-Hubbard model in a superfluid regime, we analytically find an unconventional universal dynamical scaling for the growth of the spin correlation length, which is characterized by the exponential integral unlike the conventional power-law or simple logarithmic behavior, and numerically confirmed with the truncated Wigner approximation.