Scale Invariant Dynamics and Universal Quantum Beats in Bose Gases

TL;DR

This paper investigates how scale invariance influences the quantum dynamics of 2D Bose gases, revealing universal oscillatory behaviors and singularities in density profiles that could be observed experimentally.

Contribution

It demonstrates the presence of scale-invariant logarithmic singularities and universal quantum beats in the far-from-equilibrium dynamics of 2D Bose gases, linking beat frequencies through a discrete scale transformation.

Findings

Density profile shows a scale-invariant logarithmic singularity.

Quantum beats with universal structures are observed.

Beat frequencies are related by a universal discrete scale transformation.

Abstract

We study the signature of scale invariance in the far-from-equilibrium quantum dynamics of two dimensional Bose gases. We show that the density profile displays a scale invariant logarithmic singularity near the center. In addition, the density oscillates due to quantum beats with universal structures. Namely, the frequencies of the beats can be connected with one another by a universal discrete scale transformation induced by the scale invariance. The experimental applicability of these results is then discussed.