There have been a number of results obtained on the theoretical and experimental aspects. Here the most important breakthroughs are listed:
1) Demonstration of nonlinear readout as efficient path for utilizing and accessing entanglement with simple standard readout.
Phys.Rev.Lett. 117, 013001 (2015).
2) First demonstration of generation of non-local quantum correlations in ultracold gases.
Science 360, 413 (2018).
3) First demonstration of universal quantum dynamics.
Nature 563, 217 (2018).
4) Extraction of quantum effective actions
Nature Physics 10.1038/s41567-020-0933-6 (2020).
Additional to these results directly connected to the question of generation of entanglement, the developed experimental techniques for precise atom manipulation have been employed for atom trace analysis of Ar39 atoms. These are perfect environmental tracers for determining the age of water and ice. Both aspects have recently been demonstrated.
4) New insight into ocean ventilation close to Cape Verde islands.
Nature Comm. 9, 5046 (2018).
5) First dating of alpine glacier ice with quantum technology.
PNAS 116, 8781 (2019).