Relation between structure-function scaling and TOF momentum-distribution scaling in BEC turbulence

Establish the quantitative relationship between the scaling exponents obtained from velocity structure functions and those inferred from time-of-flight momentum distributions in turbulent atomic Bose-Einstein condensates.

Background

Previous atomic BEC turbulence studies often relied on time-of-flight (TOF) measurements to infer momentum distributions, which have sometimes been interpreted using wave-turbulence theory rather than Kolmogorov’s framework. In contrast, this work directly measures velocity fields and structure functions, observing Kolmogorov and KO62 intermittency scaling.

A clear mapping between these two diagnostics—VSFs in real space and TOF momentum distributions in reciprocal space—remains to be clarified to reconcile differing interpretations and to unify experimental methodologies.