Numerical simulations of p-wave fermions in a one-dimensional harmonic trap

Màster Oficial de Ciència i Tecnologia Quàntiques / Quantum Science and Technology, Facultat de Física, Universitat de Barcelona. Curs: 2024-2025. Tutors: Bruno Juliá Díaz, Abel Rojo Francàs.

Bibliographic Details
Author: Camus Sais, Marc
Format: master thesis
Publication Date:2025
Country:España
Institution:Universidad de Barcelona
Repository:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/222536
Online Access:https://hdl.handle.net/2445/222536
Access Level:Open access
Keyword:Ona P
Densitat de partícules
Treballs de fi de màster
P wave
Particle density
Master's thesis
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spelling Numerical simulations of p-wave fermions in a one-dimensional harmonic trapCamus Sais, MarcOna PDensitat de partículesTreballs de fi de màsterP waveParticle densityMaster's thesisMàster Oficial de Ciència i Tecnologia Quàntiques / Quantum Science and Technology, Facultat de Física, Universitat de Barcelona. Curs: 2024-2025. Tutors: Bruno Juliá Díaz, Abel Rojo Francàs.We consider a system of N spin-aligned p-wave fermions confined within a one-dimensional harmonic trap. We study the energy spectrum and ground state properties across different regimes of interaction strength by performing numerical calculations. We compute the particle density and the eigenvalues of the one-body density matrix. Additionally, we study two-particle properties by calculating the pair correlation matrix. In the infinitely interacting limit, our results coincide with those of a fermionic Tonks-Girardeau gas. We analyze the discontinuity behavior near the non-interacting limit and provide an explanation. We propose a novel square well representation of the p-wave interaction in discrete space. We demonstrate the efficiency of this representation by comparing the results obtained with it to those obtained from analytical solutions and other numerical methods. We simulate the dynamics of the system after altering a parameter of the system, such as the trap depth or the interaction strength. We compute spectral properties of the system by analyzing the Fourier transform of the time-dependent spatial spread of the wave function.Juliá-Díaz, BrunoRojo Francàs, Abel2025info:eu-repo/semantics/masterThesisapplication/pdfhttps://hdl.handle.net/2445/222536Màster Oficial - Ciència i Tecnologia Quàntiques / Quantum Science and Technologyreponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaIngléscc-by-nc-nd (c) Camus, 2025http://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/2225362026-05-27T06:46:51Z
dc.title.none.fl_str_mv Numerical simulations of p-wave fermions in a one-dimensional harmonic trap
title Numerical simulations of p-wave fermions in a one-dimensional harmonic trap
spellingShingle Numerical simulations of p-wave fermions in a one-dimensional harmonic trap
Camus Sais, Marc
Ona P
Densitat de partícules
Treballs de fi de màster
P wave
Particle density
Master's thesis
title_short Numerical simulations of p-wave fermions in a one-dimensional harmonic trap
title_full Numerical simulations of p-wave fermions in a one-dimensional harmonic trap
title_fullStr Numerical simulations of p-wave fermions in a one-dimensional harmonic trap
title_full_unstemmed Numerical simulations of p-wave fermions in a one-dimensional harmonic trap
title_sort Numerical simulations of p-wave fermions in a one-dimensional harmonic trap
dc.creator.none.fl_str_mv Camus Sais, Marc
author Camus Sais, Marc
author_facet Camus Sais, Marc
author_role author
dc.contributor.none.fl_str_mv Juliá-Díaz, Bruno
Rojo Francàs, Abel
dc.subject.none.fl_str_mv Ona P
Densitat de partícules
Treballs de fi de màster
P wave
Particle density
Master's thesis
topic Ona P
Densitat de partícules
Treballs de fi de màster
P wave
Particle density
Master's thesis
description Màster Oficial de Ciència i Tecnologia Quàntiques / Quantum Science and Technology, Facultat de Física, Universitat de Barcelona. Curs: 2024-2025. Tutors: Bruno Juliá Díaz, Abel Rojo Francàs.
publishDate 2025
dc.date.none.fl_str_mv 2025
dc.type.none.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/222536
url https://hdl.handle.net/2445/222536
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.rights.none.fl_str_mv cc-by-nc-nd (c) Camus, 2025
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv cc-by-nc-nd (c) Camus, 2025
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
_version_ 1869413022638800896
score 15.811543

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