Many-body chaos at weak coupling

Abstract

The strength of chaos in large $N$ quantum systems can be quantified using ${\lambda }_L$, the rate of growth of certain out-of-time-order four point functions. We calculate ${\lambda }_L$ to leading order in a weakly coupled matrix ${\Phi }^4$ theory by numerically diagonalizing a ladder kernel. The computation reduces to an essentially classical problem.

13+8 pages, v2: minor corrections

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