  Within the quantum field theory approach and using the technique of
Bogoliubov transformations, the von Neumann boson-antiboson pair creation
quantum entanglement entropy is studied in the context of the noncommutative
Bianchi I universe. It is shown that the latter have a behavior depending
strongly on the choice of the noncommutativity {\theta} parameter,
k_{\perp}-frequency modes and the structure of the curved spacetime. Moreover,
the relationship between the Bose-Einstein condensation and quantum
entanglement is also discussed.
