Entanglement and seniority
[1];
[2];
[2];
- Institute for Nuclear Research, Debrecen (Hungary); Budapest University of Technology and Economics, (Hungary)
- Institute for Nuclear Research, Debrecen (Hungary)
- Wigner Research Centre for Physics, Budapest (Hungary); Philipps-Universität Marburg (Germany); Technical University of Munich, Garching (Germany)
- Budapest University of Technology and Economics, (Hungary)
In quantum mechanics entanglement is the most striking phenomenon which has no counterpart in classical systems. Although, different approaches have already been developed to study correlations in the case of indistinguishable particles, the exploration of the so-called mode entanglement is still in its initial stage in nuclear physics. Study of mode-entanglement in the seniority model, derivation of analytic formulas for the one-body reduced density matrix of states with seniority $$ν$$ = 0, 1, 2, and $$ν$$ = 3, and also determination of the particle number dependence of the one-body reduced density matrix for arbitrary seniority. In addition, comparison of the predictions of the seniority model with the results of the shell model to gain insight into the structure and correlations of the ground and lowest yrast states. In the seniority model the analytic results are calculated using the quasi-spin formalism. The numerical shell model calculations are carried out in the standard shell model framework using an inert core. The applied realistic effective interactions are derived earlier using the $$G$$-matrix formalism. The density matrix renormalization group method is also applied in order to directly calculate the mode entropies. In the seniority model simple analytical expressions are given for the mode entropies. The peculiar behavior of the half-filled shells and the seniority-zero states are revealed. Numerical results are presented for the lightest stable calcium isotopes and for 94Ru nucleus. For 94Ru, the seniority model accounts for the 0$$g$$9/2 mode entropies, but seniority mixing is important for certain yrast states. Furthermore, interaction induced quantum fluctuations decrease the occupation of the 0$$f$$5/2, 1$$p$$3/2 and 1$$p$$1/2 shells, and amount in non-negligible mode entropies on these shells, too, clearly outside the scope of the simple (0$$g$$9/2)4 seniority model. The 0$$f$$7/2 shell-based seniority model is more accurate for the Ca isotopes, but seniority mixing is substantial for some 44Ca yrast states, too. Mode and one-body entanglement entropies are useful tools to investigate the structure of quantum correlations in nuclei.
- Research Organization:
- Pacific Northwest National Laboratory (PNNL), Richland, WA (United States). Center for Scalable Predictive Methods for Excitations and Correlated Phenomena (SPEC)
- Sponsoring Organization:
- USDOE Office of Science (SC), Basic Energy Sciences (BES). Chemical Sciences, Geosciences & Biosciences Division (CSGB); National Research, Development and Innovation Fund of Hungary (NKFIH)
- Grant/Contract Number:
- AC05-76RL01830; K128729; K120569; K134983; SNN139581
- OSTI ID:
- 1982789
- Journal Information:
- Physical Review. C, Vol. 106, Issue 2; ISSN 2469-9985
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
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