Squeezed vacua play a prominent role in quantum field theory in curved spacetime. Instabilities and resonances that arise from the coupling in the field to the background geometry, result in a large squeezing of the vacuum. In this talk, I discuss the
relation between squeezing and Lyapunov exponents of the system. In particular, I derive a new formula for the rate of growth of the entanglement entropy expressed as the sum of the Lyapunov exponents. As an example, we illustrate these features for the Schwinger effect.
14/07/2016
Entanglement production and Lyapunov exponents
21st International Conference on General Relativity and Gravitation (GR21), New York City