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Correlated many-body calculation to study characteristics of Shannon information entropy for ultracold trapped interacting bosons

Correlated many-body calculation to study characteristics of Shannon information entropy for ultracold trapped interacting bosons

A correlated many-body calculation is presented to characterize the Shannon information entropy of trapped interacting bosons. We reformulate the one-body Shannon information entropy in terms of the one-body probability density. The minimum limit of the entropy uncertainty relation is approached by making $N$ very small in our numerical work. We …