Oksana Chelpanova
Cavity quantum electrodynamics (cavity QED) serves as a universal platform for testing driving-dissipative dynamics of many-body models, where an arbitrary form of interaction can be mediated on demand. The extreme tunability of parameters, which in many other platforms appears to be fundamental and, thus, constant, makes it a prominent candidate for studying various properties, starting from dynamical phase transitions and finishing with quantum effects, such as entanglement. In this talk we show how controlled dynamics of entanglement can be engineered in cavity QED on the macroscopic scale by simultaneously addressing the spin and momentum of atoms. Here, entanglement between spin and momentum is gained when the system undergoes a self-organization phase transition and does not experience decay in time, which is extremely important for the use of entanglement in resource theory. Along with that, we show how the interplay of spin and momentum opens the possibility to realize non-stationary states with a very slow relaxation rate, or even arrest thermalization of the system in specific parametric regimes.