Measuring many-body characters in AMO systems
This event is part of the Biophysics/Condensed Matter Seminar Series.
In the first part of the talk, I describe a scheme for measurement of entanglement spectrum. While there has been a surge of theoretical works on the subject, no experimental measurement has been performed to this date, due to the lack of an implementable measurement scheme. Our scheme effectively performs a Ramsey spectroscopy of the entanglement Hamiltonian, via an auxiliary qubit. In the second part, motivated by the scrambling of information in many-body systems, I discuss a scheme to measure the time dependence of out-of-time-ordered (OTO) correlation functions such as ⟨O2(t)O1(0)O2(t)O1(0)⟩. Experimentally, these correlators are challenging to access since they apparently require access to both forward and backward time evolution with the system Hamiltonian. I discuss how a 'quantum clock' can emulate the forward and backward time propagation.This capability leads to an efficient measurement of OTOs.