Hannover 2013 – wissenschaftliches Programm
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A: Fachverband Atomphysik
A 39: Poster: Atomic systems in external fields
A 39.12: Poster
Donnerstag, 21. März 2013, 16:00–18:30, Empore Lichthof
Mass Effects on the Entanglement Features of an Exactly Soluble Quantum Few-Body System — •Peter Alexander Bouvrie1, Malte Christopher Tichy2, Ana Paula Majtey1, Angel Ricardo Plastino1, and Jesús Sánchez-Dehesa1 — 1Instituto Carlos I de Física Teórica y Computacional and Departamento de Física Atómica, Molecular y Nuclear, Universidad de Granada, 18071-Granada, Spain — 2Lundbeck Foundation Theoretical Center for Quantum System Research, Department of Physics and Astronomy, University of Aarhus, DK-8000 Aarhus C, Denmark
We explore the entanglement features [1] of the eigenstates of an exactly soluble many-particle model consisting of Nn “nuclei” and Ne “electrons” which interact harmonically in a confining harmonic trap. We investigate its dependence upon the different parameters characterizing the system such as the relative strength between the two-particle interaction and the confining harmonic force, the number of particles and their masses. Particular attention is paid to the dependence of the entanglement on the ratio of the masses of the constituent particles; we have found that the entanglement vanishes when the subsystems have very different masses. Since the validity of the Born-Oppenheimer approach is closely related to the mass of the particles, we have studied the validity region of this approach depending on the parameters of the model; so, shedding new light on the understanding of the vanishing bipartite entanglement with the different subsystems mass.
[1] Bouvrie P A, Majtey A P, Plastino A R, Sanchez-Moreno P and Dehesa J S 2012 Eur. Phys. J. D 66 15.