Nuclear entanglement and deformation

Màster Oficial de Ciència i Tecnologia Quàntiques / Quantum Science and Technology, Facultat de Física, Universitat de Barcelona. Curs: 2023-2024. Tutor: Axel Pérez-Obiol

Detalles Bibliográficos
Autor: King, Gavin
Tipo de recurso: tesis de maestría
Fecha de publicación:2024
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/215217
Acceso en línea:https://hdl.handle.net/2445/215217
Access Level:acceso abierto
Palabra clave:Entrellaçament quàntic
Estat fonamental
Treballs de fi de màster
Quantum entanglement
Ground state
Master's thesis
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spelling Nuclear entanglement and deformationKing, GavinEntrellaçament quànticEstat fonamentalTreballs de fi de màsterQuantum entanglementGround stateMaster's thesisMàster Oficial de Ciència i Tecnologia Quàntiques / Quantum Science and Technology, Facultat de Física, Universitat de Barcelona. Curs: 2023-2024. Tutor: Axel Pérez-ObiolThe single-j model is a simple toy Hamiltonian which captures certain phenomenological properties of a nuclear shell with fixed angular momentum j, namely, nucleon pairing and quadrupole deformation. We characterize the ground and excited states of this Hamiltonian, in light of its symmetries, for a shell with an even number of nucleons, building up an intuitive picture of the exact solutions. We see that, while the ground state is a rotationally-symmetric state with zero total angular momentum and vanishing deformation, the excited states are organized into multiplets with definite total angular momentum J2 and are in general deformed states. The effect of the quadrupole term is to break the degeneracy between multiplets with distinct J2. Narrowing our attention to the ground state, we next investigate entanglement between single-particle nuclear orbitals via the tools of quantum information: reduced density matrices, mutual information, entanglement entropy, and entanglement of formation. Along the way we consider how “entanglement” should be defined for systems of indistinguishable fermions, meeting tools such as the natural basis of single-particle states, the Jordan-Wigner isomorphism, and the fermionic partial trace, and considering subtleties including particle number conservation and “fluffy-bunny” entanglement which complicate the much more familiar picture of entanglement in systems of distinguishable particles. Ultimately, we find that quantum correlations in the ground state of the single-j model arise from entanglement involving four orbitals, which perhaps can be thought of as entanglement between pairs of “Cooper pairs”. For ≥ 9 ,2 ,and with N = 4 nucleons, the Cooper pairs are disrupted by the quadrupole term, leading to a more complicated entanglement structure. Finally, we compare the ground state of the single-j model with the ground state of a more realistic phenomenological nuclear Hamiltonian and find a surprisingly close fit, suggesting that the single-j model is an excellent starting point for understanding entanglement in real nucleiPérez-Obiol, Axel2024info:eu-repo/semantics/masterThesisapplication/pdfhttps://hdl.handle.net/2445/215217Màster Oficial - Ciència i Tecnologia Quàntiques / Quantum Science and Technologyreponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaIngléscc-by-nc-nd (c) King, 2024http://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/2152172026-05-27T06:46:51Z
dc.title.none.fl_str_mv Nuclear entanglement and deformation
title Nuclear entanglement and deformation
spellingShingle Nuclear entanglement and deformation
King, Gavin
Entrellaçament quàntic
Estat fonamental
Treballs de fi de màster
Quantum entanglement
Ground state
Master's thesis
title_short Nuclear entanglement and deformation
title_full Nuclear entanglement and deformation
title_fullStr Nuclear entanglement and deformation
title_full_unstemmed Nuclear entanglement and deformation
title_sort Nuclear entanglement and deformation
dc.creator.none.fl_str_mv King, Gavin
author King, Gavin
author_facet King, Gavin
author_role author
dc.contributor.none.fl_str_mv Pérez-Obiol, Axel
dc.subject.none.fl_str_mv Entrellaçament quàntic
Estat fonamental
Treballs de fi de màster
Quantum entanglement
Ground state
Master's thesis
topic Entrellaçament quàntic
Estat fonamental
Treballs de fi de màster
Quantum entanglement
Ground state
Master's thesis
description Màster Oficial de Ciència i Tecnologia Quàntiques / Quantum Science and Technology, Facultat de Física, Universitat de Barcelona. Curs: 2023-2024. Tutor: Axel Pérez-Obiol
publishDate 2024
dc.date.none.fl_str_mv 2024
dc.type.none.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/215217
url https://hdl.handle.net/2445/215217
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.rights.none.fl_str_mv cc-by-nc-nd (c) King, 2024
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv cc-by-nc-nd (c) King, 2024
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv Màster Oficial - Ciència i Tecnologia Quàntiques / Quantum Science and Technology
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,81155

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