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Quasipinning and entanglement in the lithium isoelectronic series

Authors: C.L. Benavides-Riveros, J.M. Gracia-Bondía, and M. Springborg

Ref.: Phys. Rev. A 88, 022508 (2013)

Abstract: The Pauli exclusion principle gives an upper bound of 1 on natural occupation numbers. Recently there has been an intriguing amount of theoretical evidence that there is a plethora of additional generalized Pauli restrictions or (in)equalities, of a kinematic nature, satisfied by these numbers [M. Altunbulak and A. Klyachko, Commun. Math. Phys. 282, 287 (2008)]. Here a numerical analysis of the nature of such constraints is effected in real atoms. The inequalities are nearly saturated, or quasipinned. For rank 6 and rank 7 approximations for lithium, the deviation from saturation is smaller than the lowest occupancy number. For a rank 8 approximation we find well-defined families of saturation conditions.

Citations: 40 (Google scholar)

DOI: https://doi.org/10.1103/PhysRevA.88.022508

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Bibtex:

@article{Benavides_Riveros_2013,
	doi = {10.1103/physreva.88.022508},
	url = {https://doi.org/10.1103%2Fphysreva.88.022508},
	year = 2013,
	month = {aug},
	publisher = {American Physical Society ({APS})},
	volume = {88},
	number = {2},
	author = {Carlos L. Benavides-Riveros and Jos{\'{e}} M. Gracia-Bond{\'{\i}}a and Michael Springborg},
	title = {Quasipinning and entanglement in the lithium isoelectronic series},
	journal = {Physical Review A}
}