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Within the quantum field theory approach and using the technique ofBogoliubov transformations, the von Neumann boson-antiboson pair creationquantum entanglement entropy is studied in the context of the noncommutativeBianchi I universe. It is shown that the latter have a behavior dependingstrongly 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 quantumentanglement is also discussed.

Quantum Entanglement and Thermodynamics of Boson-Antiboson Pair Creation Modes in the Noncommutative Bianchi I Universe