Dimensional crossover for universal scaling far from equilibrium

TL;DR

This paper investigates how the universal scaling behavior of a nonequilibrium Bose gas changes with system dimensionality, revealing a crossover that can be described using fractional spatial dimensions, relevant for ultracold quantum gas experiments.

Contribution

It introduces a finite-size scaling analysis demonstrating a dimensional crossover in the universal dynamics of anisotropic quantum gases far from equilibrium.

Findings

Universal scaling properties depend on transverse size.

Dimensional crossover can be described with fractional dimensions.

Relevance to recent ultracold gas experiments.

Abstract

We perform a dynamical finite-size scaling analysis of a nonequilibrium Bose gas which is confined in the transverse plane. Varying the transverse size, we establish a dimensional crossover for universal scaling properties far from equilibrium. Our results suggest that some aspects of the dynamical universal behavior of anisotropic systems can be classified in terms of fractional spatial dimensions. We discuss our findings in view of recent experimental results with quasi one-dimensional setups of quenched ultracold quantum gases.