Contessi, Daniele, Ricci, Elisa, Recati, Alessio and Rizzi, Matteo (2022). Detection of Berezinskii-Kosterlitz-Thouless transition via generative adversarial networks. SciPost Phys., 12 (3). AMSTERDAM: SCIPOST FOUNDATION. ISSN 2542-4653

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Abstract

The detection of phase transitions in quantum many-body systems with lowest possible prior knowledge of their details is among the most rousing goals of the flourishing application of machine-learning techniques to physical questions. Here, we train a Generative Adversarial Network (GAN) with the Entanglement Spectrum of a system bipartition, as extracted by means of Matrix Product States ansatze. We are able to identify gapless-to-gapped phase transitions in different one-dimensional models by looking at the machine inability to reconstruct outsider data with respect to the training set. We foresee that GAN-based methods will become instrumental in anomaly detection schemes applied to the determination of phase-diagrams. Copyright D. Contessi et al.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Contessi, DanieleUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Ricci, ElisaUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Recati, AlessioUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Rizzi, MatteoUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-685513
DOI: 10.21468/SciPostPhys.12.3.107
Journal or Publication Title: SciPost Phys.
Volume: 12
Number: 3
Date: 2022
Publisher: SCIPOST FOUNDATION
Place of Publication: AMSTERDAM
ISSN: 2542-4653
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
PHASE-TRANSITIONSMultiple languages
Physics, MultidisciplinaryMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/68551

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