Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entanglement and seniority   We study mode-entanglement in the seniority model, derive analytic formulas
for the one-body reduced density matrix of states with seniority $\nu =
0,\;1,\;2$, and $\nu=3$, and also determine the particle number dependence of
the one-body reduced density matrix for arbitrary seniority. We carry out
numerical calculations for the lightest calcium isotopes and for $^{94}{\rm
Ru}$ nucleus, and investigate the structure of their ground and low energy
yrast states. We investigate the fulfillment of several predictions of the
seniority model regarding the behavior of one-mode entropies, which we compare
with the results of configuration interaction (CI) and density matrix
renormalization group (DMRG) computations. For $^{94}{\rm Ru}$, the seniority
model accounts for the $0g_{9/2}$ mode entropies, but seniority mixing is
important for certain yrast states. Interaction induced quantum fluctuations
decrease the occupation of the $0f_{5/2}$, $1p_{3/2}$ and $1p_{1/2}$ shells,
and amount in finite mode entropies on these shells, too, clearly outside the
scope of the simple $(0g_{9/2})^4$ seniority model. The $0f_{7/2}$ shell based
seniority model is more accurate for the light ${\rm Ca}$ isotopes, but
seniority mixing is substantial for some $^{44}{\rm Ca}$ yrast states, too.

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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org