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We detect the quantum phase transition of a quantum many-body system by mapping the observed results of the quantum state onto a neural network. In the present study, we utilized the simplest case of a quantum many-body system, namely a…

Statistical Mechanics · Physics 2018-02-26 Shunta Arai , Masayuki Ohzeki , Kazuyuki Tanaka

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

Predicting the phase diagram of interacting quantum many-body systems is a central problem in condensed matter physics and related fields. A variety of quantum many-body systems, ranging from unconventional superconductors to spin liquids,…

Strongly Correlated Electrons · Physics 2023-09-04 Pascal M. Vecsei , Christian Flindt , Jose L. Lado

Recent research has demonstrated the usefulness of neural networks as variational ansatz functions for quantum many-body states. However, high-dimensional sampling spaces and transient autocorrelations confront these approaches with a…

Quantum Physics · Physics 2021-11-29 Robert Klassert , Andreas Baumbach , Mihai A. Petrovici , Martin Gärttner

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

Determining phase diagrams and phase transitions semi-automatically using machine learning has received a lot of attention recently, with results in good agreement with more conventional approaches in most cases. When it comes to more…

Disordered Systems and Neural Networks · Physics 2019-12-04 Hugo Théveniaut , Fabien Alet

The classification of phases and the detection of phase transitions are central and challenging tasks in diverse fields. Within physics, it relies on the identification of order parameters and the analysis of singularities in the free…

Over the past years, machine learning has emerged as a powerful computational tool to tackle complex problems over a broad range of scientific disciplines. In particular, artificial neural networks have been successfully deployed to…

Quantum Physics · Physics 2021-01-28 Juan Carrasquilla , Giacomo Torlai

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

We conduct experimental simulations of many body quantum systems using a \emph{hybrid} classical-quantum algorithm. In our setup, the wave function of the transverse field quantum Ising model is represented by a restricted Boltzmann…

Quantum Physics · Physics 2018-12-05 Bartłomiej Gardas , Marek M. Rams , Jacek Dziarmaga

Machine learning has been applied on a wide variety of models, from classical statistical mechanics to quantum strongly correlated systems for the identification of phase transitions. The recently proposed quantum convolutional neural…

Strongly Correlated Electrons · Physics 2021-11-10 Nathaniel Wrobel , Anshumitra Baul , Juana Moreno , Ka-Ming Tam

The use of Neural Networks in quantum many-body theory has seen a formidable rise in recent years. Among the many possible applications, one surely is to make use of their pattern recognition power when dealing with the study of equilibrium…

Strongly Correlated Electrons · Physics 2024-12-04 Filippo Caleca , Simone Tibaldi , Elisa Ercolessi

Neural networks possess formidable representational power, rendering them invaluable in solving complex quantum many-body systems. While they excel at analyzing static solutions, nonequilibrium processes, including critical dynamics during…

Disordered Systems and Neural Networks · Physics 2024-04-19 Han-Qing Shi , Hai-Qing Zhang

Neural quantum states (NQS) have emerged as a powerful tool for approximating quantum wavefunctions using deep learning. While these models achieve remarkable accuracy, understanding how they encode physical information remains an open…

Quantum Physics · Physics 2025-04-21 Vinicius Hernandes , Thomas Spriggs , Saqar Khaleefah , Eliska Greplova

We review quantum phase transitions of spin systems in transverse magnetic fields taking the examples of the spin-1/2 Ising and XY models in a transverse field. Beginning with an overview of quantum phase transitions, we introduce a number…

Statistical Mechanics · Physics 2015-06-10 Amit Dutta , Gabriel Aeppli , Bikas K. Chakrabarti , Uma Divakaran , Thomas F. Rosenbaum , Diptiman Sen

We demonstrate, by means of a convolutional neural network, that the features learned in the two-dimensional Ising model are sufficiently universal to predict the structure of symmetry-breaking phase transitions in considered systems…

Statistical Mechanics · Physics 2020-11-25 Dimitrios Bachtis , Gert Aarts , Biagio Lucini

The classification of phase transitions is a central and challenging task in condensed matter physics. Typically, it relies on the identification of order parameters and the analysis of singularities in the free energy and its derivatives.…

Strongly Correlated Electrons · Physics 2019-07-31 Askery Canabarro , Felipe Fernandes Fanchini , André Luiz Malvezzi , Rodrigo Pereira , Rafael Chaves

We show that a neural network, trained on the entanglement spectra of a nearest neighbor Heisenberg chain in a random transverse magnetic field, can be used to efficiently study the ergodic/many-body localized properties of a number of…

Disordered Systems and Neural Networks · Physics 2021-08-13 Cameron Beetar , Jeff Murugan , Dario Rosa

Machine learning algorithms provide a new perspective on the study of physical phenomena. In this paper, we explore the nature of quantum phase transitions using multi-color convolutional neural-network (CNN) in combination with quantum…

Disordered Systems and Neural Networks · Physics 2019-03-27 Xiao-Yu Dong , Frank Pollmann , Xue-Feng Zhang

Machine learning (ML) has recently facilitated many advances in solving problems related to many-body physical systems. Given the intrinsic quantum nature of these problems, it is natural to speculate that quantum-enhanced machine learning…

Quantum Physics · Physics 2022-12-14 Shweta Sahoo , Utkarsh Azad , Harjinder Singh
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