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We employ deep learning techniques to investigate the critical properties of the continuous phase transition in the majority vote model. In addition to deep learning, principal component analysis is utilized to analyze the transition. For…

Machine learning (ML) has been well applied to studying equilibrium phase transition models, by accurately predicating critical thresholds and some critical exponents. Difficulty will be raised, however, for integrating ML into…

Statistical Mechanics · Physics 2024-02-27 Jianmin Shen , Wei Li , Shengfeng Deng , Tao Zhang

Machine learning has recently emerged as a promising approach for studying complex phenomena characterized by rich datasets. In particular, data-centric approaches lend to the possibility of automatically discovering structures in…

We use machine learning to classify rational two-dimensional conformal field theories. We first use the energy spectra of these minimal models to train a supervised learning algorithm. We find that the machine is able to correctly predict…

Strongly Correlated Electrons · Physics 2021-07-13 En-Jui Kuo , Alireza Seif , Rex Lundgren , Seth Whitsitt , Mohammad Hafezi

Understanding complex quantum dynamics in realistic materials requires insight into the underlying correlations dominating the interactions between the participating particles. Due to the wealth of information involved in these processes,…

Materials Science · Physics 2024-04-19 Adva Baratz , Galit Cohen , Sivan Refaely-Abramson

In this work, we begin by questioning the existence of a new kind of nonergodic extended phase, namely, the many-body critical (MBC) phase in finite systems of an interacting quasiperiodic system. We find that this phase can be separately…

Disordered Systems and Neural Networks · Physics 2025-05-23 Aamna Ahmed , Nilanjan Roy

Detection of phase transitions is a critical task in statistical physics, traditionally pursued through analytic methods and direct numerical simulations. Recently, machine-learning techniques have emerged as promising tools in this…

Statistical Mechanics · Physics 2025-02-19 Burak Çivitcioğlu , Rudolf A. Römer , Andreas Honecker

We apply various unsupervised machine learning methods for phase classification to investigate the finite-temperature phase diagram of the spinless Falicov-Kimball model in two dimensions. Using only particle occupation snapshots from Monte…

Strongly Correlated Electrons · Physics 2025-05-27 Lukáš Frk , Pavel Baláž , Elguja Archemashvili , Martin Žonda

We identify configurational phases and structural transitions in a polymer nanotube composite by means of machine learning. We employ various unsupervised dimensionality reduction methods, conventional neural networks, as well as the…

Soft Condensed Matter · Physics 2022-04-06 Quinn Parker , Dilina Perera , Ying Wai Li , Thomas Vogel

Automated analyses of the outcome of a simulation have been an important part of atomistic modeling since the early days, addressing the need of linking the behavior of individual atoms and the collective properties that are usually the…

Chemical Physics · Physics 2019-05-22 Michele Ceriotti

Entanglement, which quantifies non-local correlations in quantum mechanics, is the fascinating concept behind much of aspiration towards quantum technologies. Nevertheless, directly measuring the entanglement of a many-particle system is…

Disordered Systems and Neural Networks · Physics 2019-01-02 Richard Berkovits

Although classifying topological quantum phases have attracted great interests, the absence of local order parameter generically makes it challenging to detect a topological phase transition from experimental data. Recent advances in…

Quantum Gases · Physics 2022-10-12 Entong Zhao , Ting Hin Mak , Chengdong He , Zejian Ren , Ka Kwan Pak , Yu-Jun Liu , Gyu-Boong Jo

We review the main applications of machine learning models that are not fully supervised in particle physics, i.e., clustering, anomaly detection, detector simulation, and unfolding. Unsupervised methods are ideal for anomaly detection…

High Energy Physics - Phenomenology · Physics 2024-10-24 Jai Bardhan , Tanumoy Mandal , Subhadip Mitra , Cyrin Neeraj , Monalisa Patra

The application of machine learning in the study of phase transitions has achieved remarkable success in both equilibrium and non-equilibrium systems. It is widely recognized that unsupervised learning can retrieve phase transition…

Statistical Mechanics · Physics 2024-12-10 Dian Xu , Shanshan Wang , Weibing Deng , Feng Gao , Wei Li , Jianmin Shen

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

Topological phase classifications have been intensively studied via machine-learning techniques where different forms of the training data are proposed in order to maximize the information extracted from the systems of interests. Due to the…

Quantum Physics · Physics 2023-05-08 Min-Ruei Lin , Wan-Ju Li , Shin-Ming Huang

In condensed matter physics, one of the goals of machine learning is the classification of phases of matter. The consideration of a system's symmetries can significantly assist the machine in this goal. We demonstrate the ability of an…

Disordered Systems and Neural Networks · Physics 2022-12-08 Daniel Lozano-Gómez , Darren Pereira , Michel J. P. Gingras

We develop an unsupervised machine learning approach to classify disordered phases in a system of oppositely charged colloids. In this system, the interplay between Coulomb and van der Waals interactions leads to transitions in local…

Soft Condensed Matter · Physics 2025-08-26 Yoshitaka Miyahara , Taiki Haga

The discovery of topological phases in condensed matter systems has changed the modern conception of phases of matter. The global nature of topological ordering makes these phases robust and hence promising for applications. However, the…

We introduce an unsupervised machine learning method based on Siamese Neural Networks (SNN) to detect phase boundaries. This method is applied to Monte-Carlo simulations of Ising-type systems and Rydberg atom arrays. In both cases the SNN…

Computational Physics · Physics 2022-11-23 Zakaria Patel , Ejaaz Merali , Sebastian J. Wetzel