Quantum signature of reconnection bifurcations

In this paper, we analyze quantum diffusion across a reconnecting zone in a regime of strong chaos. Quantum systems with chaotic classical counterpart show localized eigenstates even in the absence of classical regular structures. Localization can be related to invariant classical structures in phase space. In this paper we show confined quantum eigenfunctions by classical twistless curves. This feature is illustrated using a nonmonotonic standard map.