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We define a generalized entanglement measure in the context of the AdS/CFTcorrespondence. Compared to the ordinary entanglement entropy for a spatialsubregion dual to the area of the Ryu-Takayanagi surface, we take into accountboth entanglement between spatial degrees of freedom as well as betweendifferent fields of the boundary theory. Moreover, we resolve the contributionto the entanglement entropy of strings with different winding numbers in thebulk geometry. We then calculate this generalized entanglement measure in athermal state dual to the BTZ black hole in the setting of the D1/D5 system atand close to the orbifold point. We find that the entanglement entropy definedin this way is dual to the length of a geodesic with non-zero winding number.Such geodesics probe the entire bulk geometry, including the entanglementshadow up to the horizon in the one-sided black hole as well as the wormholegrowth in the case of a two-sided black hole for an arbitrarily long time.Therefore, we propose that the entanglement structure of the boundary state isenough to reconstruct asymptotically AdS$_3$ geometries up to extremal surfacebarriers.

Illuminating entanglement shadows of BTZ black holes by a generalized entanglement measure