Multi-body entanglement and information rearrangement in nuclear many-body systems: a study of the Lipkin-Meshkov-Glick model
Hengstenberg M, Robin CEP, Savage MJ (2023)
European Physical Journal A 59(10): 231.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Autor*in
Hengstenberg, MommeUniBi;
Robin, Caroline Elisa PaulineUniBi;
Savage, Martin J.
Abstract / Bemerkung
We examine how effective-model-space (EMS) calculations of nuclear many-body systems rearrange and converge multi-particle entanglement. The generalized Lipkin-Meshkov-Glick (LMG) model is used to motivate and provide insight for future developments of entanglement-driven descriptions of nuclei. The effective approach is based on a truncation of the Hilbert space together with a variational rotation of the qubits (spins), which constitute the relevant elementary degrees of freedom. The non-commutivity of the rotation and truncation allows for an exponential improvement of the energy convergence throughout much of the model space. Our analysis examines measures of correlations and entanglement, and quantifies their convergence with increasing cut-off. We focus on one- and two-spin entanglement entropies, mutual information, and n-tangles for n = 2, 4 to estimate multi-body entanglement. The effective description strongly suppresses entropies and mutual information of the rotated spins, while being able to recover the exact results to a large extent with lowcut-offs. Naive truncations of the bare Hamiltonian, on the other hand, artificially underestimate these measures. The n-tangles in the present model provide a basis-independent measures of n-particle entanglement. While these are more difficult to capture with the EMS description, the improvement in convergence, compared to truncations of the bare Hamiltonian, is significantly more dramatic. We conclude that the low-energy EMS techniques, that successfully provide predictive capabilities for low-lying observables in many-body systems, exhibit analogous efficacy for quantum correlations and multi-body entanglement in the LMG model, motivating future studies in nuclear many-body systems and effective field theories relevant to high-energy physics and nuclear physics.
Erscheinungsjahr
2023
Zeitschriftentitel
European Physical Journal A
Band
59
Ausgabe
10
Art.-Nr.
231
ISSN
1434-6001
eISSN
1434-601X
Page URI
https://pub.uni-bielefeld.de/record/2984572
Zitieren
Hengstenberg M, Robin CEP, Savage MJ. Multi-body entanglement and information rearrangement in nuclear many-body systems: a study of the Lipkin-Meshkov-Glick model. European Physical Journal A. 2023;59(10): 231.
Hengstenberg, M., Robin, C. E. P., & Savage, M. J. (2023). Multi-body entanglement and information rearrangement in nuclear many-body systems: a study of the Lipkin-Meshkov-Glick model. European Physical Journal A, 59(10), 231. https://doi.org/10.1140/epja/s10050-023-01145-x
Hengstenberg, Momme, Robin, Caroline Elisa Pauline, and Savage, Martin J. 2023. “Multi-body entanglement and information rearrangement in nuclear many-body systems: a study of the Lipkin-Meshkov-Glick model”. European Physical Journal A 59 (10): 231.
Hengstenberg, M., Robin, C. E. P., and Savage, M. J. (2023). Multi-body entanglement and information rearrangement in nuclear many-body systems: a study of the Lipkin-Meshkov-Glick model. European Physical Journal A 59:231.
Hengstenberg, M., Robin, C.E.P., & Savage, M.J., 2023. Multi-body entanglement and information rearrangement in nuclear many-body systems: a study of the Lipkin-Meshkov-Glick model. European Physical Journal A, 59(10): 231.
M. Hengstenberg, C.E.P. Robin, and M.J. Savage, “Multi-body entanglement and information rearrangement in nuclear many-body systems: a study of the Lipkin-Meshkov-Glick model”, European Physical Journal A, vol. 59, 2023, : 231.
Hengstenberg, M., Robin, C.E.P., Savage, M.J.: Multi-body entanglement and information rearrangement in nuclear many-body systems: a study of the Lipkin-Meshkov-Glick model. European Physical Journal A. 59, : 231 (2023).
Hengstenberg, Momme, Robin, Caroline Elisa Pauline, and Savage, Martin J. “Multi-body entanglement and information rearrangement in nuclear many-body systems: a study of the Lipkin-Meshkov-Glick model”. European Physical Journal A 59.10 (2023): 231.
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