Abstract
We investigate quantum correlations in the ground state of the Moshinsky model formed by N harmonically interacting particles confined in a harmonic potential. The model is solvable which allows an exact determination of entanglement between the subset of p particles and the remaining N − p particles. We study linear entropies and von Neumann entropies of the bipartitions and compare their behavior with that of the relative correlation energy and of the statistical Kutzelnigg coefficient.
Highlights
In recent years there has been a growing interest in systems of interacting particles trapped in potential wells because of their possible use in quantum information processing
Its amount can be quantified by the von Neumann entropy S(p) = −T r [ρ(p) log2 ρ(p)] = −
A similar comparison but in function of N is made in Fig. 3 for three different values of g
Summary
In recent years there has been a growing interest in systems of interacting particles trapped in potential wells because of their possible use in quantum information processing. Fabricated objects, such as atomic clusters or quantum dots, theoretically described as harmonically confined systems with adjustable control parameters, are promising candidates for quantum computers. This gives the motivation to study their quantum information properties. In this work we perform such a study for the Moshinsky model where the interparticle interaction is harmonic. Okopinska expression for the GS wave function is obtained in the form
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