Emergent black hole dynamics in critical Floquet systems

In this paper the authors study a one-dimensional quantum chain subject to a periodic drive that alternates between two coupling profiles modulated in space. They discover the existence of a heating phase where all the excitations accumulate periodically at two specific points of the chain dubbed horizons, through an exact analogy with the ones from black holes. The system heats up by endlessly absorbing the energy of the drive in a non-homogeneous way along the two horizons.