



01228nas a2200145   4500008004100000245007500041210006900116260001500185520076500200100002100965700002100986700001901007700001901026856003701045       2019                        eng d00aA characterization of quantum chaos by two-point correlation functions0 acharacterization of quantum chaos by twopoint correlation functi  c02/28/20193 a<p><span style="color: rgb(51, 51, 51); font-family: &quot;Open Sans&quot;, &quot;Lucida Grande&quot;, &quot;Helvetica Neue&quot;, Helvetica, Arial, sans-serif; font-size: 14px;">We propose a characterization of quantum many-body chaos: given a collection of simple operators, the set of all possible pair-correlations between these operators can be organized into a matrix with random-matrix-like spectrum. This approach is particularly useful for locally interacting systems, which do not generically show exponential Lyapunov growth of out-of-time-ordered correlators. We demonstrate the validity of this characterization by numerically studying the Sachdev-Ye-Kitaev model and a one-dimensional spin chain with random magnetic field (XXZ model).</span></p>1 aGharibyan, Hrant1 aHanada, Masanori1 aSwingle, Brian1 aTezuka, Masaki  uhttps://arxiv.org/abs/1902.11086