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The 2-dimensional Ising model on a square lattice is investigated with a variational autoencoder in the non-vanishing field case for the purpose of extracting the crossover region between the ferromagnetic and paramagnetic phases. The…

Computational Physics · Physics 2020-08-04 Nicholas Walker , Ka-Ming Tam

Machine learning has emerged as a promising approach to study the properties of many-body systems. Recently proposed as a tool to classify phases of matter, the approach relies on classical simulation methods$-$such as Monte Carlo$-$which…

Quantum Physics · Physics 2020-07-17 Alexey Uvarov , Andrey Kardashin , Jacob Biamonte

Dynamical quantum phase transitions are at the forefront of current efforts to understand quantum matter out of equilibrium. Except for a few exactly solvable models, predictions of these critical phenomena typically rely on advanced…

Strongly Correlated Electrons · Physics 2022-07-18 Fredrik Brange , Sebastiano Peotta , Christian Flindt , Teemu Ojanen

We apply a set of machine-learning (ML) techniques for the global exploration of the phase diagrams of two frustrated 2D Ising models with competing interactions. Based on raw Monte Carlo spin configurations generated for random system…

Statistical Mechanics · Physics 2021-12-03 Danilo Rodrigues de Assis Elias , Enzo Granato , Maurice de Koning

We report an experimental demonstration of a machine learning approach to identify exotic topological phases, with a focus on the three-dimensional chiral topological insulators. We show that the convolutional neural networks---a class of…

We investigate the application of deep learning techniques employing the conditional variational autoencoders for semi-supervised learning of latent parameters to describe phase transition in the two-dimensional (2D) ferromagnetic Ising…

Statistical Mechanics · Physics 2023-06-30 Adwait Naravane , Nilmani Mathur

The phase transition of the two-dimensional $U(1)$ quantum link model on the triangular lattice is investigated by employing a supervised neural network (NN) consisting of only one input layer, one hidden layer of two neurons, and one…

High Energy Physics - Lattice · Physics 2023-08-23 Jhao-Hong Peng , Yuan-Heng Tseng , Fu-Jiun Jiang

Machine learning techniques exhibit significant performance in discriminating different phases of matter and provide a new avenue for studying phase transitions. We investigate the phase transitions of three dimensional $q$-state Potts…

Computational Physics · Physics 2024-02-20 Xiangna Chen , Feiyi Liu , Weibing Deng , Shiyang Chen , Jianmin Shen , Gabor Papp , Wei Li , Chunbin Yang

It has been suggested in the literature that it may be possible to locate the QCD critical end point using the Taylor series of thermodynamic variables about the $\mu=0$ axis. Since the phase transition at the critical end point is believed…

High Energy Physics - Lattice · Physics 2011-07-05 Mark Abraao York , Guy D. Moore

We map the mean-field Ising model equation of state onto the QCD phase diagram, and reconstruct the full coexistence region in the case of a first order phase transition. Beyond the coexistence line, we maintain access to the spinodal…

Nuclear Theory · Physics 2024-09-24 Jamie M. Karthein , Volker Koch , Claudia Ratti

In this Letter, we present a new strategy for applying the learning machine to study phase transitions. We train the learning machine with samples only obtained at a non-critical parameter point, aiming to establish intrinsic correlations…

Statistical Mechanics · Physics 2019-01-04 Rongxing Xu , Weicheng Fu , Hong Zhao

The machine-learning techniques have shown their capability for studying phase transitions in condensed matter physics. Here, we employ the machine-learning techniques to study the nuclear liquid-gas phase transition. We adopt an…

Nuclear Theory · Physics 2020-11-17 Rui Wang , Yu-Gang Ma , R. Wada , Lie-Wen Chen , Wan-Bing He , Huan-Ling Liu , Kai-Jia Sun

We study the phase transitions of the two-dimensional antiferromagnetic Ising model with nearest $J_1$ and next-to-nearest $J_2$ interactions on the triangular lattice for $J_2/J_1 = 0.1, 0.5$ and 1.0. The method of supervised neural…

High Energy Physics - Lattice · Physics 2025-11-19 Shang-Wei Li , Yuan-Heng Tseng , Kai-Wei Huang , Fu-Jiun Jiang

Using numerical simulations we investigate the properties of the dynamic phase transition that is encountered in the three-dimensional Ising model subjected to a periodically oscillating magnetic field. The values of the critical exponents…

Statistical Mechanics · Physics 2013-04-01 Hyunhang Park , Michel Pleimling

Classical machine learning has succeeded in the prediction of both classical and quantum phases of matter. Notably, kernel methods stand out for their ability to provide interpretable results, relating the learning process with the physical…

Quantum Physics · Physics 2022-05-05 Teresa Sancho-Lorente , Juan Román-Roche , David Zueco

We propose an iterative proposal to estimate critical points for statistical models based on configurations by combing machine-learning tools. Firstly, phase scenarios and preliminary boundaries of phases are obtained by…

Disordered Systems and Neural Networks · Physics 2019-10-23 X. L. Zhao , L. B. Fu

Using machine learning (ML) to recognize different phases of matter and to infer the entire phase diagram has proven to be an effective tool given a large dataset. In our previous proposals, we have successfully explored phase transitions…

Statistical Mechanics · Physics 2023-07-12 Ming-Chiang Chung , Guang-Yu Huang , Ian P. McCulloch , Yuan-Hong Tsai

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

Machine learning is applied to investigate the phase transition of two-dimensional complex plasmas. The Langevin dynamics simulation is employed to prepare particle suspensions in various thermodynamic states. Based on the resulted particle…

Plasma Physics · Physics 2023-07-25 He Huang , Vladimir Nosenko , Han-Xiao Huang-Fu , Hubertus M. Thomas , Cheng-Ran Du

Convolutional Neural Nets, which is a powerful method of Deep Learning, is applied to classify equation of state of heavy-ion collision event generated within the UrQMD model. Event-by-event transverse momentum and azimuthal angle…

Nuclear Theory · Physics 2020-07-23 Yu. Kvasiuk , E. Zabrodin , L. Bravina , I. Didur , M. Frolov