Luogo: link Teams https://teams.microsoft.com/l/meetup-join/19:meeting_NmU1ZDMyZjUtMjA4ZS00MDUwLTk1ZjYtZTcxN2Y3YjQ3OTc2@thread.v2/0?context=%7B%22Tid%22:%22bb064bc5-b7a8-41ec-babe-d7beb3faeb1c%22,%22Oid%22:%22a06f55f4-28c0-49fc-8410-10daf4fcbd34%22%7D Eventuale Collegamento Web: https://www.fisicastatistica.org/ Relatore: Peter ZollerCenter for Quantum Physics, University of Innsbruck, and Institute for Quantum Optics and Quantum Information, Innsbruck, Austrian Academy of Sciences e-mail organizzatore: raffaella.burioni@unipr.it Abstract: Cold atoms and ions constitute not only a platform to build highly controlled quantum many-body systems, but also provide us with a unique toolbox to develop and implement novel measurement protocols for many-body observables. Here we discuss a 'randomized measurement toolbox', where we apply random unitaries to many-body quantum states in the quantum simulator, and statistical correlations between measured probabilities provides access to quantities characterizing entanglement. This includes (Renyi) entanglement entropies, or even a complete `learning' of the entanglement Hamiltonian and entanglement spectrum. We illustrate our theoretical concepts with experimental data showing build-up of entanglement in quench dynamics, which were taken on a programmable trapped-ion simulator realizing a long-range transverse Ising model.
