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

Abstract

We investigate the correlations between different bipartitions of an exactly solvable one-dimensional many-body Moshinsky model consisting of Nn "nuclei" and Ne "electrons". We study the dependence of entanglement on the inter-particle interaction strength, on the number of particles, and on the particle masses. Consistent with kinematic intuition, the entanglement between two subsystems vanishes when the subsystems have very different masses, while it attains its maximal value for subsystems of comparable mass. We show how this entanglement feature can be inferred by means of the Born-Oppenheimer Ansatz, whose validity and breakdown can be understood from a quantum information point of view.

Accepted in Eur. Phys. J. D (2014)

References in corpus (4)

• Linear entropy as an entanglement measure in two-fermion systems
• Separability Criteria and Entanglement Measures for Pure States of N Identical Fermions
• Bosonic behavior of entangled fermions
• Collective interference of composite two-fermion bosons

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