Bibliometric Analysis and Overview of Matrix Product States in the Bose-Hubbard Model
Context: Quantum many-body systems have been a prominent topic over the past two decades, underpinning advancements in superconductors, ultracold atoms, and quantum computing, among other fields. This bibliometric analysis explores key concepts, influential authors, and the current significance of a...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | Spanish |
| Published: |
Universidad Distrital Francisco José de Caldas
2025-03-01
|
| Series: | Ingeniería |
| Subjects: | |
| Online Access: | https://revistas.udistrital.edu.co/index.php/reving/article/view/22292 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849737065322774528 |
|---|---|
| author | Juan Sebastián Gómez Karen Cecilia Rodríguez |
| author_facet | Juan Sebastián Gómez Karen Cecilia Rodríguez |
| author_sort | Juan Sebastián Gómez |
| collection | DOAJ |
| description | Context: Quantum many-body systems have been a prominent topic over the past two decades, underpinning advancements in superconductors, ultracold atoms, and quantum computing, among other fields. This bibliometric analysis explores key concepts, influential authors, and the
current significance of a powerful family of algorithms in computational physics, i.e., density matrix renormalization group (DMRG) algorithms. Special emphasis is placed on the use of tensor product states in developing classical simulations of quantum systems.
Method: This paper presents a literature review sourced from the SCOPUS database. It analyzes trends and approaches related to uncertainty in numerical developments for quantum many-body systems, with a focus on the Bose-Hubbard Model, in order to better understand the imposition of additional constraints to ensure the validity of the results.
Results: The increasing number of publications on this topic over the last decade indicates a growing interest in solutions for many-body quantum systems, driven by promising advances in superconductive materials, quantum computing, and other impactful areas.
Conclusions: This work explored essential foundational works to help beginners understand a well-established technique that aims to overcome the limitations of classical computing. The use of matrix product states in DMRG algorithms is gaining significant traction in various fields, including quantum computing, machine learning, and statistical mechanics, with the purpose of addressing the challenges related to quantum many-body systems. |
| format | Article |
| id | doaj-art-112eea1cc5a342f59c19a2a9afff53ae |
| institution | DOAJ |
| issn | 0121-750X 2344-8393 |
| language | Spanish |
| publishDate | 2025-03-01 |
| publisher | Universidad Distrital Francisco José de Caldas |
| record_format | Article |
| series | Ingeniería |
| spelling | doaj-art-112eea1cc5a342f59c19a2a9afff53ae2025-08-20T03:07:04ZspaUniversidad Distrital Francisco José de CaldasIngeniería0121-750X2344-83932025-03-01301e22292e2229210.14483/23448393.2229221130Bibliometric Analysis and Overview of Matrix Product States in the Bose-Hubbard ModelJuan Sebastián Gómez0https://orcid.org/0009-0002-3206-9320Karen Cecilia Rodríguez1https://orcid.org/0000-0003-2860-9208Universidad del Valle Universidad del Valle Context: Quantum many-body systems have been a prominent topic over the past two decades, underpinning advancements in superconductors, ultracold atoms, and quantum computing, among other fields. This bibliometric analysis explores key concepts, influential authors, and the current significance of a powerful family of algorithms in computational physics, i.e., density matrix renormalization group (DMRG) algorithms. Special emphasis is placed on the use of tensor product states in developing classical simulations of quantum systems. Method: This paper presents a literature review sourced from the SCOPUS database. It analyzes trends and approaches related to uncertainty in numerical developments for quantum many-body systems, with a focus on the Bose-Hubbard Model, in order to better understand the imposition of additional constraints to ensure the validity of the results. Results: The increasing number of publications on this topic over the last decade indicates a growing interest in solutions for many-body quantum systems, driven by promising advances in superconductive materials, quantum computing, and other impactful areas. Conclusions: This work explored essential foundational works to help beginners understand a well-established technique that aims to overcome the limitations of classical computing. The use of matrix product states in DMRG algorithms is gaining significant traction in various fields, including quantum computing, machine learning, and statistical mechanics, with the purpose of addressing the challenges related to quantum many-body systems.https://revistas.udistrital.edu.co/index.php/reving/article/view/22292matrix product statesdensity matrix renormalization groupstrongly correlated systemsbose-hubbard modeltensor networks |
| spellingShingle | Juan Sebastián Gómez Karen Cecilia Rodríguez Bibliometric Analysis and Overview of Matrix Product States in the Bose-Hubbard Model Ingeniería matrix product states density matrix renormalization group strongly correlated systems bose-hubbard model tensor networks |
| title | Bibliometric Analysis and Overview of Matrix Product States in the Bose-Hubbard Model |
| title_full | Bibliometric Analysis and Overview of Matrix Product States in the Bose-Hubbard Model |
| title_fullStr | Bibliometric Analysis and Overview of Matrix Product States in the Bose-Hubbard Model |
| title_full_unstemmed | Bibliometric Analysis and Overview of Matrix Product States in the Bose-Hubbard Model |
| title_short | Bibliometric Analysis and Overview of Matrix Product States in the Bose-Hubbard Model |
| title_sort | bibliometric analysis and overview of matrix product states in the bose hubbard model |
| topic | matrix product states density matrix renormalization group strongly correlated systems bose-hubbard model tensor networks |
| url | https://revistas.udistrital.edu.co/index.php/reving/article/view/22292 |
| work_keys_str_mv | AT juansebastiangomez bibliometricanalysisandoverviewofmatrixproductstatesinthebosehubbardmodel AT karenceciliarodriguez bibliometricanalysisandoverviewofmatrixproductstatesinthebosehubbardmodel |