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Classifying phase transitions is a fundamental and complex challenge in condensed matter physics. This work proposes a framework for identifying quantum phase transitions by combining classical shadows with unsupervised machine learning. We…

In recent years, developing unsupervised machine learning for identifying phase transition is a research direction. In this paper, we introduce a two-times clustering method that can help select perfect configurations from a set of…

Disordered Systems and Neural Networks · Physics 2023-05-30 Nan Wu , Zhuohan Li , Wanzhou Zhang

We investigate the quantum phase transitions for the $XXZ$ spin-1/2 chains via the quantum correlations between the nearest and next to nearest neighbor spins characterized by negativity, information deficit, trace distance discord and…

Quantum Physics · Physics 2018-05-08 Biao-Liang Ye , Bo Li , Xianqing Li-Jost , Shao-Ming Fei

We examine several well known quantum spin models and categorize behavior of pairwise entanglement at quantum phase transitions. A unified picture on the connection between the entanglement and quantum phase transition is given.

Quantum Physics · Physics 2009-11-11 Shi-Jian Gu , Guang-Shan Tian , Hai-Qing Lin

Identifying quantum phases and phase transitions is key to understand complex phenomena in statistical physics. In this work, we propose an unconventional strategy to access quantum phases and phase transitions by visualization based on the…

Strongly Correlated Electrons · Physics 2021-04-13 Yuan Yang , Zheng-Zhi Sun , Shi-Ju Ran , Gang Su

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

Quantum machine learning (QML) is an emerging field that investigates the capabilities of quantum computers for learning tasks. While QML models can theoretically offer advantages such as exponential speed-ups, challenges in data loading…

Quantum Physics · Physics 2025-11-03 Florian J. Kiwit , Bernhard Jobst , Andre Luckow , Frank Pollmann , Carlos A. Riofrío

Determining the phase diagram of systems consisting of smaller subsystems 'connected' via a tunable coupling is a challenging task relevant for a variety of physical settings. A general question is whether new phases, not present in the…

Disordered Systems and Neural Networks · Physics 2020-09-29 W. Rzadkowski , N. Defenu , S. Chiacchiera , A. Trombettoni , G. Bighin

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

Despite rapidly growing interest in harnessing machine learning in the study of quantum many-body systems, training neural networks to identify quantum phases is a nontrivial challenge. The key challenge is in efficiently extracting…

Strongly Correlated Electrons · Physics 2017-05-31 Yi Zhang , Eun-Ah Kim

Quantum phase transition in the one-dimensional period-two and uniform quantum compass model are studied by using the pseudo-spin transformation method and the trace map method. The exact solutions are presented, the fidelity, the…

Strongly Correlated Electrons · Physics 2009-11-13 Ke-Wei Sun , Yu-Yu Zhang , Qing-Hu Chen

In the presence of strong electronic spin correlations, the hyperfine interaction imparts long-range coupling between nuclear spins. Efficient protocols for the extraction of such complex information about electron correlations via magnetic…

Disordered Systems and Neural Networks · Physics 2023-05-10 Anantha Rao , Stephen Carr , Charles Snider , D. E. Feldman , Chandrasekhar Ramanathan , V. F. Mitrović

Machine learning (ML) is a promising approach for performing challenging quantum-information tasks such as device characterization, calibration and control. ML models can train directly on the data produced by a quantum device while…

The one-dimensional $p$-wave superconductor proposed by Kitaev has long been a classic example for understanding topological phase transitions through various methods, such as examining Berry phase, edge states of open chains and, in…

Statistical Mechanics · Physics 2020-08-26 Yuan-Hong Tsai , Meng-Zhe Yu , Yu-Hao Hsu , Ming-Chiang Chung

In this thesis, we investigate whether quantum algorithms can be used in the field of machine learning for both long and near term quantum computers. We will first recall the fundamentals of machine learning and quantum computing and then…

Quantum Physics · Physics 2021-11-08 Jonas Landman

This paper provides an introduction to quantum machine learning, exploring the potential benefits of using quantum computing principles and algorithms that may improve upon classical machine learning approaches. Quantum computing utilizes…

Quantum Physics · Physics 2024-02-23 Ethan N. Evans , Dominic Byrne , Matthew G. Cook

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 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

Machine learning offers an unprecedented perspective for the problem of classifying phases in condensed matter physics. We employ neural-network machine learning techniques to distinguish finite-temperature phases of the strongly correlated…

Strongly Correlated Electrons · Physics 2017-09-12 Kelvin Ch'ng , Juan Carrasquilla , Roger G. Melko , Ehsan Khatami

In this paper, we apply machine learning methods to study phase transitions in certain statistical mechanical models on the two dimensional lattices, whose transitions involve non-local or topological properties, including site and bond…

Statistical Mechanics · Physics 2019-06-11 Wanzhou Zhang , Jiayu Liu , Tzu-Chieh Wei