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Foundations of the triplet unravelling algorithm
Woithe, Gerhard Gustav. 2024. Foundations of the triplet unravelling algorithm. Unpublished masters dissertation. Stellenbosch : Stellenbosch University [online]. Available: https://scholar.sun.ac.za/handle/10019.1/131974 Thesis (MSc)--Stellenbosch University, 2024.
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Stellenbosch : Stellenbosch University
2025
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| _version_ | 1867613834546511872 |
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| access_status_str | Open Access |
| author | Woithe, Gerhard Gustav |
| author2 | Petruccione, F. |
| author_browse | Petruccione, F. Woithe, Gerhard Gustav |
| author_facet | Petruccione, F. Woithe, Gerhard Gustav |
| author_sort | Woithe, Gerhard Gustav |
| collection | Thesis |
| dc_rights_str_mv | Stellenbosch University |
| description | Woithe, Gerhard Gustav. 2024. Foundations of the triplet unravelling algorithm. Unpublished masters dissertation. Stellenbosch : Stellenbosch University [online]. Available: https://scholar.sun.ac.za/handle/10019.1/131974
Thesis (MSc)--Stellenbosch University, 2024. |
| format | Thesis |
| id | oai:scholar.sun.ac.za:10019.1/131974 |
| institution | Stellenbosch University (South Africa) |
| last_indexed | 2026-06-10T12:42:26.594Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository |
| publishDate | 2025 |
| publishDateRange | 2025 |
| publishDateSort | 2025 |
| publisher | Stellenbosch : Stellenbosch University |
| publisherStr | Stellenbosch : Stellenbosch University |
| record_format | dspace |
| source_str | SUNScholar — Stellenbosch University Repository |
| spelling | oai:scholar.sun.ac.za:10019.1/131974 Foundations of the triplet unravelling algorithm Woithe, Gerhard Gustav Petruccione, F. Pleasance, G. Stellenbosch University. Faculty of Science. Dept. of Physics. Quantum theory -- Mathematical models Algorithms Quantum Monte Carlo methods Field theory (Physics) Triplet unravelling -- Mathematical models UCTD Woithe, Gerhard Gustav. 2024. Foundations of the triplet unravelling algorithm. Unpublished masters dissertation. Stellenbosch : Stellenbosch University [online]. Available: https://scholar.sun.ac.za/handle/10019.1/131974 Thesis (MSc)--Stellenbosch University, 2024. ENGLISH ABSTRACT: Finding the ground state of a quantum many-body system is a notoriously difficult problem, and clever numerical strategies are indispensable in order to solve it. Triplet unravelling is a recently-introduced method that performs this task. This algorithm is the result of the confluence of a number of ideas from previous, and in some cases, unrelated fields, like the theory of open quantum systems, a recent reformulation of quantum field theory known as dissipative quantum field theory, and diffusion quantum Monte Carlo methods. In this thesis, we review the necessary aspects of these constituent fields so as to show in detail how triplet unravelling follows from all of them. We describe our own implementation of this algorithm, which we then use to investigate the ground state of a certain Heisenberg chain. AFRIKAANSE OPSOMMING: Om die grondtoestand van ’n kwantum veeldeeltjiesisteem te bereken is nie ’n eenvoudige taak nie. Slim numeriese strategieë is onontbeerlik om hier- die soort probleem op te los. ’n Metode wat hierdie taak uitvoer, genaamd tritsonrafeling, is onlangs ontwikkel. Hierdie algoritme is die resultaat van die samevloeiing van ’n hele aantal idees uit vorige, en in sommige gevalle, onverwante velde, soos die teorie van oop kwantumsisteme, ’n onlangse herfor- mulasie van kwantumveldeteorie bekend as dissipatiewe kwantumveldeteorie, en diffusie k wantum M onte C arlo m etodes. I n h ierdie t esis g ee o ns ’ n oor- sig van die nodige aspekte van hierdie samestellende velde en demonstreer in detail hoe die tritsontrafelingsalgoritme die resultaat van hulle almal is. Ons beskryf dan ons eie implementasie van hierdie algoritme en gebruik dit om die grondtoestand van ’n sekere Heisenberg-ketting te vind. Masters 2025-05-02T14:03:54Z 2025-05-02T14:03:54Z 2024-12 Thesis https://scholar.sun.ac.za/handle/10019.1/131974 Stellenbosch University x, 161 pages : illustrations application/pdf Stellenbosch : Stellenbosch University |
| spellingShingle | Quantum theory -- Mathematical models Algorithms Quantum Monte Carlo methods Field theory (Physics) Triplet unravelling -- Mathematical models UCTD Woithe, Gerhard Gustav Foundations of the triplet unravelling algorithm |
| title | Foundations of the triplet unravelling algorithm |
| title_full | Foundations of the triplet unravelling algorithm |
| title_fullStr | Foundations of the triplet unravelling algorithm |
| title_full_unstemmed | Foundations of the triplet unravelling algorithm |
| title_short | Foundations of the triplet unravelling algorithm |
| title_sort | foundations of the triplet unravelling algorithm |
| topic | Quantum theory -- Mathematical models Algorithms Quantum Monte Carlo methods Field theory (Physics) Triplet unravelling -- Mathematical models UCTD |
| url | https://scholar.sun.ac.za/handle/10019.1/131974 |
| work_keys_str_mv | AT woithegerhardgustav foundationsofthetripletunravellingalgorithm |