Entanglement spread at Instabilities

21st International Conference on General Relativity and Gravitation (GR21), New York City

Entanglement entropy plays an important role when one studies correlations in quantum field theory. In this talk, I discuss the relation between entanglement production of quantum systems and instabilities in their classical counterpart. In particular, I present a new theorem stating that in classically unstable linear systems the entanglement entropy grows linearly. Its slope is given by a sum over the Lyapunov exponents of the system.