Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Identifying quantum phase transitions with minimal prior knowledge by unsupervised learning
City University of Hong Kong, China.
City University of Hong Kong, China.
Luleå University of Technology, Department of Computer Science, Electrical and Space Engineering, Embedded Internet Systems Lab.ORCID iD: 0000-0001-6158-3543
Luleå University of Technology, Department of Computer Science, Electrical and Space Engineering, Embedded Internet Systems Lab.ORCID iD: 0000-0001-5662-825X
Show others and affiliations
2025 (English)In: SciPost Physics Core, E-ISSN 2666-9366, Vol. 8, article id 029Article in journal (Refereed) Published
Abstract [en]

In this work, we proposed a novel approach for identifying quantum phase transitions in one-dimensional quantum many-body systems using AutoEncoder (AE), an unsupervised machine learning technique, with minimal prior knowledge. The training of the AEs is done with reduced density matrix (RDM) data obtained by Exact Diagonalization (ED) across the entire range of the driving parameter and thus no prior knowledge of the phase diagram is required. With this method, we successfully detect the phase transitions in a wide range of models with multiple phase transitions of different types, including the topological and the Berezinskii-Kosterlitz-Thouless transitions by tracking the changes in the reconstruction loss of the AE. The learned representation of the AE is used to characterize the physical phenomena underlying different quantum phases. Our methodology demonstrates a new approach to studying quantum phase transitions with minimal knowledge, small amount of needed data, and produces compressed representations of the quantum states.

Place, publisher, year, edition, pages
SciPost Foundation , 2025. Vol. 8, article id 029
National Category
Computer Sciences
Research subject
Machine Learning
Identifiers
URN: urn:nbn:se:ltu:diva-112019DOI: 10.21468/scipostphyscore.8.1.029ISI: 001439922700002Scopus ID: 2-s2.0-86000573356OAI: oai:DiVA.org:ltu-112019DiVA, id: diva2:1944817
Note

Validerad;2025;Nivå 2;2025-03-17 (u5);

Full text license: CC BY 4.0;

Funder: Research Grants Council ofHong Kong (CityU 11318722); National Natural Science Foundation of China (12204130); Shenzhen Start-Up Research Funds (HA11409065); City University of Hong Kong (9610438, 7005610, 9680320); HITSZ Start-Up Funds (X2022000);

Available from: 2025-03-17 Created: 2025-03-17 Last updated: 2025-04-15Bibliographically approved

Open Access in DiVA

fulltext(1768 kB)20 downloads
File information
File name FULLTEXT01.pdfFile size 1768 kBChecksum SHA-512
d4b0437c0a8e986b8913a6654140dc1b406d664166f9ecb31657207117daf243b9e298152146eb353bf376d327f2d40ddaab4938ac3fc1a5b98ace0579ce4386
Type fulltextMimetype application/pdf

Other links

Publisher's full textScopus

Authority records

Mokayed, HamamSandin, FredrikLiwicki, Marcus

Search in DiVA

By author/editor
Mokayed, HamamSandin, FredrikLiwicki, MarcusTang, Ho-KinYu, Wing Chi
By organisation
Embedded Internet Systems Lab
Computer Sciences

Search outside of DiVA

GoogleGoogle Scholar
Total: 20 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 330 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf