Dynamics of Three-Body Correlations in Quenched Unitary Bose Gases

We investigate dynamical three-body correlations in the Bose gas during the earliest stages of evolution after a quench to the unitary regime. The development of few-body correlations is theoretically observed by determining the two- and three-body contacts. We find that the growth of three-body correlations is gradual compared to two-body correlations. The three-body contact oscillates coherently, and we identify this as a signature of Efimov trimers. We show that the growth of three-body correlations depends nontrivially on parameters derived from both the density and Efimov physics. These results demonstrate the violation of scaling invariance of unitary bosonic systems via the appearance of log-periodic modulation of three-body correlations.

Figure 1

Postquench dynamics of dimensionless, scaled two- and three-body contacts over a range of densities. Evolution of the two-body contact is given by the universal growth rate $n^{-4/3}{\mathcal{C}}_2=128\pi /(6{\pi }^2{)}^{2/3}t/t_n$ from Ref. [18], which quickly increases beyond the plotted range. This behavior is known and is therefore not shown.

Figure 2

Dynamical surface of $n^{-5/3}{\mathcal{C}}_3$ over a range of densities. A rippling effect due to the coherent trimer oscillations occurs as the peaks are approached from lower densities. This behavior is repeated for densities rescaled by powers of $e^{3\pi /s_0}$.

Figure 3

Profiles of $n^{-5/3}{\mathcal{C}}_3$ at a fixed $t/t_n$. The solid lines are guides for the eye connecting the data from Fig. 2.