Abstract
We study a singlet ground-state of the D-dimensional Hooke’s law model for D = 1, 2, 3. We explore an effect of the dimensionality of the space D on the entanglement in the whole range of the repulsive interaction. Among other features, it is found that there exists a critical interaction strength above which for D = 3 the amount of entanglement contained in the singlet ground-state becomes larger than that for D = 2.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Kościk, P., Hassanabadi, H. Entanglement in Hooke’s Law Atoms: an Effect of the Dimensionality of the Space. Few-Body Syst 52, 189–192 (2012). https://doi.org/10.1007/s00601-011-0241-x
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DOI: https://doi.org/10.1007/s00601-011-0241-x