Scale Invariant Dynamics and Universal Quantum Beats in Bose Gases

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.

5 pages, 3 figures

References in corpus (5)

• Observation of scale invariance and universality in two-dimensional Bose gases
• Observation of the Efimovian Expansion in Scale Invariant Fermi Gases
• Universal Properties of Two-Dimensional Boson Droplets
• Two-dimensional Bose gases near resonance: universal three-body effects
• Quantum N-Boson States and Quantized Motion of Solitonic Droplets: Universal Scaling Properties in Low Dimensions

Cited by in corpus (1)

• Non-Perturbative Dynamical Effects in Nearly Scale Invariant Systems: The Action of Breaking Scale Invariance