Measuring entanglement directly
I will present two approaches to measure directly entanglement in many-body quantum systems.
In the first part of my talk, I will show how to measure the entanglement spectrum of ground states of generic Hamiltonians based on the direct engineering of the entanglement Hamiltonian . Our method, based on the Bisognano-Wichmann theorem, allows to measure the entanglement spectrum via spectroscopy and can be implemented in all quantum simulation platforms. I will provide numerical examples to support this result and give examples of AMO implementations of entanglement Hamiltonians.
In the second part of my talk, I will present a method to measure Renyi entropies using random quenches. I will illustrate our approach in the context of 2d Hubbard (ultracold atoms) and Quantum Ising (Rydberg atoms, trapped ions) models.
 Marcello Dalmonte, BV and Peter Zoller, arXiv:1707.04455