Energies of 3l3l83l9 states of aluminumlike ions with Z514–100 are evaluated to second order in relativistic many-body perturbation theory starting from a 1s2s2p Dirac-Fock potential. Intrinsic three-particle contributions to the energy are included in the present calculation and found to contribute about 10–20 % of the total second-order energy. Corrections for the frequency-dependent Breit in...

Magic (non-stabilizerness) is a necessary but "expensive" kind of "fuel" to drive universal fault-tolerant quantum computation. To properly study and characterize the origin "complexity" in computation as well physics, it crucial develop rigorous understanding quantification magic. Previous studies magic mostly focused on small systems largely relied discrete Wigner formalism (which only behave...

We develop the perturbation theory for bosons interacting via a weak two-body potential $V$, attractive and repulsive parts of which cancel each other. find that leading nonpairwise contribution to energy emerges in third order $V$ represents an effective three-body interaction, sign most cases (although not general) is anticorrelated with long-range tail $V$. apply our few particular interacti...

Recent work has shown that the many-body expansion of the interaction energy can be used to develop analytical representations of global potential energy surfaces (PESs) for water. In this study, the role of short- and long-range interactions at different orders is investigated by analyzing water potentials that treat the leading terms of the many-body expansion through implicit (i.e., TTM3-F a...