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Quasi-particle excitations in a Bose-Einstein condensate lead to quantum entanglement between real bosonic atoms in the system. By employing spectral expansion method, the eigenvalues and eigenstates of Bogoliubov-de Gennes equation are numerically calculated in a quasi-one-dimension infinite square well potential. For the low-energy collective excitations of the quasi-particles, we explore the dependence of quantum entanglement entropy of the Bose-Einstein condensate on scattering length. Our results show that the entanglement entropy increases slowly with the increase of the scattering length, and such an increasing trend can be well described by a power function. These results are analogous to those in a onedimension uniform BEC, where the entanglement entropy of the Bogoliubov ground state is approximately proportional to the square root of the scattering length. This work provides a viable way to investigate many-particle entanglement in a quasi-one-dimension trapped BEC where the quantum entanglement closely relates with the interaction strength between particles.
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