Protocol to measure the out-of-time-ordered correlator at finite temperature

Information scrambling, which is the spread of local information through a system's degrees of freedom, is an essential feature of many-body dynamics. In quantum systems, this scrambling is captured by the out-of-time-ordered correlator (OTOC). In this talk, we present an experimentally feasible protocol to measure the OTOC for an analog quantum system at a finite temperature. We numerically demonstrate that our protocol is robust against realistic noise for moderate system sizes. We show that the OTOC has a nontrivial temperature dependence which can be straightforwardly measured in experiment. Measuring the OTOC at finite temperature will provide crucial data to test rigorous predictions made for information scrambling in chaotic systems, as well as help probe regimes away from it.