Dynamics of quantum information

The ability to harness the dynamics of quantum information and entanglement is necessary for the development of quantum technologies and the study of complex quantum systems. On the theoretical side, the dynamics of quantum information is a topic that is helping us to unify and confront common problems in otherwise disparate fields in physics, such as quantum statistical mechanics and cosmology. On the experimental side, impressive developments in the manipulation of neutral atoms and trapped ions are providing new ways to probe their quantum dynamics. Here, we overview and discuss progress in characterizing and understanding the dynamics of quantum entanglement and information scrambling in quantum many-body systems. The level of control attainable over both the internal and external degrees of freedom of individual particles in these systems provides insight into the intrinsic connection between entanglement and thermodynamics, and between bounds on information transport and computational complexity of interacting systems. In turn, this understanding should enable the realization of quantum technologies. The dynamics of quantum information is opening new perspectives on the behaviour of complex many-body systems. This Perspective covers progress made with atomic gases and trapped ions for accessing the dynamics of quantum correlations, entanglement and information scrambling in a broad parameter regime.