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We investigate the correlations between different bipartitions of an exactlysolvable one-dimensional many-body Moshinsky model consisting of Nn "nuclei"and Ne "electrons". We study the dependence of entanglement on theinter-particle interaction strength, on the number of particles, and on theparticle masses. Consistent with kinematic intuition, the entanglement betweentwo subsystems vanishes when the subsystems have very different masses, whileit attains its maximal value for subsystems of comparable mass. We show howthis entanglement feature can be inferred by means of the Born-OppenheimerAnsatz, whose validity and breakdown can be understood from a quantuminformation point of view.

the european physical journal. d, atomic, molecular and optical physics/the european physical journal. d, atomic, molecular, optical and plasma physics

Entanglement and the Born-Oppenheimer approximation in an exactly solvable quantum many-body system