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We employ a machine learning technique for an estimate of the topological charge $Q$ of gauge configurations in SU(3) Yang-Mills theory in vacuum. As a first trial, we feed the four-dimensional topological charge density with and without…

High Energy Physics - Lattice · Physics 2020-01-01 Masakiyo Kitazawa , Takuya Matsumoto , Yasuhiro Kohno

The numerical emulation of quantum systems often requires an exponential number of degrees of freedom which translates to a computational bottleneck. Methods of machine learning have been used in adjacent fields for effective feature…

Disordered Systems and Neural Networks · Physics 2020-08-10 A Berezutskii , M Beketov , D Yudin , Z Zimborás , J Biamonte

We set out to explore the possibility of investigating the critical behavior of systems with first-order phase transition using deep machine learning. We propose a machine learning protocol with ternary classification of instantaneous spin…

Statistical Mechanics · Physics 2025-10-28 Diana Sukhoverkhova , Vyacheslav Mozolenko , Lev Shchur

We investigate the efficient learning of magnetic phases using artificial neural networks trained on synthetic data, combining computational simplicity with physics-informed strategies. Focusing on the diluted Ising model, which lacks an…

Strongly Correlated Electrons · Physics 2026-04-29 Agustin Medina , Marcelo Arlego , Carlos A. Lamas

Neural network based machine learning is emerging as a powerful tool for obtaining phase diagrams when traditional regression schemes using local equilibrium order parameters are not available, as in many-body localized or topological…

Disordered Systems and Neural Networks · Physics 2018-06-27 Jordan Venderley , Vedika Khemani , Eun-Ah Kim

Machine learning has emerged as a potent computational tool for expediting research and development in solid oxide fuel cell electrodes. The effective application of machine learning for performance prediction requires transforming…

Materials Science · Physics 2025-03-19 Maksym Szemer , Szymon Buchaniec , Tomasz Prokop , Grzegorz Brus

We train convolutional neural networks to predict whether or not a set of measurements is informationally complete to uniquely reconstruct any given quantum state with no prior information. In addition, we perform fidelity benchmarking…

Active nematics is an emerging paradigm for characterising biological systems. One aspect of particularly intense focus is the role active nematic defects play in these systems, as they have been found to mediate a growing number of…

Soft Condensed Matter · Physics 2024-01-25 Andrew Killeen , Thibault Bertrand , Chiu Fan Lee

Recently, neural networks (NNs) have become a powerful tool for detecting quantum phases of matter. Unfortunately, NNs are black boxes and only identify phases without elucidating their properties. Novel physics benefits most from insights…

Quantum Physics · Physics 2024-11-05 Kacper Cybiński , James Enouen , Antoine Georges , Anna Dawid

Quantum vortices naturally emerge in rotating Bose-Einstein condensates (BECs) and, similarly to their classical counterparts, allow the study of a range of interesting out-of-equilibrium phenomena like turbulence and chaos. However, the…

Quantum Gases · Physics 2021-06-17 Friederike Metz , Juan Polo , Natalya Weber , Thomas Busch

We develop a supervised machine learning algorithm that is able to learn topological phases of finite condensed matter systems from bulk data in real lattice space. The algorithm employs diagonalization in real space together with any…

Mesoscale and Nanoscale Physics · Physics 2020-09-02 N. L. Holanda , M. A. R. Griffith

We employ unsupervised machine learning techniques to learn latent parameters which best describe states of the two-dimensional Ising model and the three-dimensional XY model. These methods range from principal component analysis to…

Statistical Mechanics · Physics 2017-08-23 Sebastian Johann Wetzel

The present work is devoted to the investigation of the interaction between vortices (topological defects) and site-impurities (structural defects) in the 2D XY model and its influence on the well-known properties of the pure system. The…

Statistical Mechanics · Physics 2009-11-13 Oleksandr Kapikranian , Bertrand Berche , Yurij Holovatch

At strong magnetic fields double-layer two-dimensional-electron-gas systems can form an unusual broken symmetry state with spontaneous inter-layer phase coherence. In this paper we explore the rich variety of quantum and finite-temperature…

Condensed Matter · Physics 2009-10-22 K. Moon , H. Mori , Kun Yang , S. M. Girvin , A. H. MacDonald , L. Zheng , D. Yoshioka , Shou-Cheng Zhang

The phase structure of a $(2+1)$ - dimensional model of relativistic fermions with a four fermi interaction is analyzed in the strong coupling regime using the large $N$ perturbation theory. It is shown that, this model exhibits a low…

High Energy Physics - Theory · Physics 2007-05-23 R. MacKenzie , P. K. Panigrahi , S. Sakhi

Partial synchronization is characteristic phase dynamics of coupled oscillators on various natural and artificial networks, which can remain undetected due to the complexity of the systems. With an analogy between pairwise asynchrony of…

Disordered Systems and Neural Networks · Physics 2023-08-23 Yasuhiro Yamada , Kensuke Inaba

In this paper, a modified method of anomaly detection using convolutional autoencoders is employed to predict phase transitions in several statistical mechanical models on a square lattice. We show that, when the autoencoder is trained with…

Disordered Systems and Neural Networks · Physics 2023-12-25 Kwai-Kong Ng , Min-Fong Yang

There has been growing excitement over the possibility of employing artificial neural networks (ANNs) to gain new theoretical insight into the physics of quantum many-body problems. ``Interpretability'' remains a concern: can we understand…

Disordered Systems and Neural Networks · Physics 2020-12-08 Yi Zhang , Paul Ginsparg , Eun-Ah Kim

B-T phase diagram and phase transitions of interlayer Josephson vortices are investigated. For magnetic fields above a critical value, we find a Kosterlitz-Thouless (KT) type intermediate phase characterized by in-plane two-dimensional,…

Superconductivity · Physics 2007-05-23 Xiao Hu , Masashi Tachiki

We show how machine learning techniques can be applied for the classification of topological phases in leaky photonic lattices using limited measurement data. We propose an approach based solely on bulk intensity measurements, thus exempt…

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