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Measuring entanglement directly

July 31, 2017 - 11:00am
Benoit Vermersch
Institute for Theoretical Physics & IQOQI, Innsbruck

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 [1]. 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.

[1] Marcello Dalmonte, BV and Peter Zoller, arXiv:1707.04455

Room 2115 Atlantic Building