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We study the finite temperature (FT) phase transitions of two-dimensional (2D) $q$-states Potts models on the square lattice, using the first principles Monte Carlo (MC) simulations as well as the techniques of neural networks (NN). We…

Disordered Systems and Neural Networks · Physics 2018-04-04 Chian-De Li , Deng-Ruei Tan , Fu-Jiun Jiang

We present a machine-learning method for predicting sharp transitions in a Hamiltonian phase diagram by extrapolating the properties of quantum systems. The method is based on Gaussian Process regression with a combination of kernels chosen…

Other Condensed Matter · Physics 2019-04-26 Rodrigo A. Vargas-Hernández , John Sous , Mona Berciu , Roman V. Krems

We propose a systematic methodology to identify the topological phase transition through a self-supervised machine learning model, which is trained to correlate system parameters to the non-local observables in time-of-flight experiments of…

Quantum Gases · Physics 2021-09-01 Chi-Ting Ho , Daw-Wei Wang

Classifying phases of matter is a central problem in physics. For quantum mechanical systems, this task can be daunting owing to the exponentially large Hilbert space. Thanks to the available computing power and access to ever larger data…

Disordered Systems and Neural Networks · Physics 2017-02-16 Evert P. L. van Nieuwenburg , Ye-Hua Liu , Sebastian D. Huber

In the study of phase transitions a very few models are accessible to exact solution. In the most cases analytical simplifications have to be done or some numerical technique has to be used to get insight about their critical properties.…

Statistical Mechanics · Physics 2017-05-24 B. V. Costa , L. A. S. Mól , J. C. S. Rocha

Change point estimation in its offline version is traditionally performed by optimizing over the data set of interest, by considering each data point as the true location parameter and computing a data fit criterion. Subsequently, the data…

Methodology · Statistics 2020-04-10 Zhiyuan Lu , Moulinath Banerjee , George Michailidis

Over the past several years, there have been many studies demonstrating the ability of deep neural networks to identify phase transitions in many physical systems, notably in classical statistical physics systems. One often finds that the…

The detection of phase transitions is a central task in many-body physics. To automate this process, the task can be phrased as a classification problem. Classification problems can be approached in two fundamentally distinct ways: through…

Disordered Systems and Neural Networks · Physics 2025-06-03 Difei Zhang , Frank Schäfer , Julian Arnold

Machine learning has been successfully applied to identify phases and phase transitions in condensed matter systems. However, quantitative characterization of the critical fluctuations near phase transitions is lacking. In this study we…

Disordered Systems and Neural Networks · Physics 2019-03-19 Zhenyu Li , Mingxing Luo , Xin Wan

Experimental quantum simulators have become large and complex enough that discovering new physics from the huge amount of measurement data can be quite challenging, especially when little theoretical understanding of the simulated model is…

Quantum Physics · Physics 2020-12-08 Alexander Lidiak , Zhexuan Gong

The potential for complex systems to exhibit tipping points in which an equilibrium state undergoes a sudden and often irreversible shift is well established, but prediction of these events using standard forecast modeling techniques is…

Atmospheric and Oceanic Physics · Physics 2022-12-07 Daniel Dylewsky , Timothy M. Lenton , Marten Scheffer , Thomas M. Bury , Christopher G. Fletcher , Madhur Anand , Chris T. Bauch

Normalizing flows are generative machine learning models which can efficiently approximate probability distributions, using only given samples of a distribution. This architecture is used to interpolate the chiral condensate obtained from…

High Energy Physics - Lattice · Physics 2022-11-30 Frithjof Karsch , Anirban Lahiri , Marius Neumann , Christian Schmidt

The phase transitions of random-field q-state Potts models in d=3 dimensions are studied by renormalization-group theory by exact solution of a hierarchical lattice and, equivalently, approximate Migdal-Kadanoff solutions of a cubic…

Statistical Mechanics · Physics 2021-09-15 Alpar Turkoglu , A. Nihat Berker

An algorithm to estimate the evolution of learning curves on the whole of a training data base, based on the results obtained from a portion and using a functional strategy, is introduced. We approximate iteratively the sought value at the…

Computation and Language · Computer Science 2024-02-06 Manuel Vilares Ferro , Victor M. Darriba Bilbao , Francisco J. Ribadas Pena

Recent years have witnessed a growing interest in using machine learning to predict and identify phase transitions in various systems. Here we adopt convolutional neural networks (CNNs) to study the phase transitions of Vicsek model,…

Biological Physics · Physics 2023-06-27 Tingting Xue , Xu Li , Xiaosong Chen , Li Chen , Zhangang Han

Exploration of the QCD phase diagram and critical point is one of the main goals in current relativistic heavy-ion collisions. The QCD critical point is expected to belong to a three-dimensional (3D) Ising universality class. Machine…

Nuclear Theory · Physics 2023-02-02 Xiaobing Li , Ranran Guo , Yu Zhou , Kangning Liu , Jia Zhao , Fen Long , Yuanfang Wu , Zhiming Li

Phase estimation protocols provide a fundamental benchmark for the field of quantum metrology. The latter represents one of the most relevant applications of quantum theory, potentially enabling the capability of measuring unknown physical…

Identifying phase transitions and classifying phases of matter is central to understanding the properties and behavior of a broad range of material systems. In recent years, machine-learning (ML) techniques have been successfully applied to…

Disordered Systems and Neural Networks · Physics 2023-06-23 Julian Arnold , Frank Schäfer

We present an analysis of neural network-based machine learning schemes for phases and phase transitions in theoretical condensed matter research, focusing on neural networks with a single hidden layer. Such shallow neural networks were…

Statistical Mechanics · Physics 2018-06-06 Philippe Suchsland , Stefan Wessel

Phase transition in the two-dimensional $q$-state Potts model with random ferromagnetic couplings in the large-q limit is conjectured to be described by the isotropic version of the infinite randomness fixed point of the random…

Statistical Mechanics · Physics 2007-05-23 J-Ch. Angles d'Auriac , F. Igloi