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We describe a general method to study the ground state phase diagram of electronic models on chains whose extended Hubbard hamiltonian is formed by a generalized permutator plus a band-controlling term. The method, based on the appropriate…

Strongly Correlated Electrons · Physics 2009-10-31 F. Dolcini , A. Montorsi

Identifying phase transitions is one of the key challenges in quantum many-body physics. Recently, machine learning methods have been shown to be an alternative way of localising phase boundaries also from noisy and imperfect data and…

Classification of quantum phases is one of the most important areas of research in condensed matter physics. In this work, we obtain the phase diagram of one-dimensional quasiperiodic models via unsupervised learning. Firstly, we choose two…

Disordered Systems and Neural Networks · Physics 2024-10-22 Bohan Zheng , Siyu Zhu , Xingping Zhou , Tong Liu

The recent advances in machine learning algorithms have boosted the application of these techniques to the field of condensed matter physics, in order e.g. to classify the phases of matter at equilibrium or to predict the real-time dynamics…

Superconductivity · Physics 2023-03-16 Simone Tibaldi , Giuseppe Magnifico , Davide Vodola , Elisa Ercolessi

Supervised Learning has been successfully used to produce phase diagrams and identify phase boundaries when local order parameters are unavailable. Here, we apply unsupervised learning to this task. By using readily available clustering…

Strongly Correlated Electrons · Physics 2019-08-19 Steven Durr , Sudip Chakravarty

In this article we apply the random forest machine learning model to classify 1D topological phases when strong disorder is present. We show that using the entanglement spectrum as training features the model gives high classification…

Disordered Systems and Neural Networks · Physics 2020-01-30 Ye Zhuang , Luiz H. Santos , Taylor L. Hughes

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

Drawing the quantum phase diagram of a many-body system in the parameter space of its Hamiltonian can be seen as a learning problem, which implies labelling the corresponding ground states according to some classification criterium that…

Quantum Physics · Physics 2025-10-17 Mehran Khosrojerdi , Alessandro Cuccoli , Paola Verrucchi , Leonardo Banchi

In this study, we use machine learning to classify and interpolate the phase structure of the Vicsek flocking model across the three-dimensional parameter space $(\eta,\rho,v_0)$. We construct a dataset of simulated parameter points and…

Soft Condensed Matter · Physics 2026-05-01 Grace T. Bai , Brandon B. Le

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…

We study the ground state quantum phase transition by means of entanglement in the one-dimensional asymmetric Hubbard model with open boundary condition. The local entanglement between the middle two sites and the rest of the system, and…

Strongly Correlated Electrons · Physics 2009-11-13 W. L. Chan , S. J. Gu

We study the ground state properties of the one-dimensional extended Hubbard model at half-filling from the perspective of its particle reduced density matrix. We focus on the reduced density matrix of $2$ fermions and perform an analysis…

Strongly Correlated Electrons · Physics 2022-04-11 Diego L. B. Ferreira , Thiago O. Maciel , Reinaldo O. Vianna , Fernando Iemini

We consider a modification of the one-dimensional Hubbard model by including an external pairing potential. Guided by analytic bosonization results, we quantitatively determine the grand-canonical zero-temperature phase diagram using both…

Strongly Correlated Electrons · Physics 2021-01-20 Myung-Hoon Chung , Edmond Orignac , Didier Poilblanc , Sylvain Capponi

The prediction of phase diagrams in the search for new phases is a complex and computationally intensive task. Density functional theory provides, in many situations, the desired accuracy, but its throughput becomes prohibitively limited as…

Materials Science · Physics 2023-09-19 Michael Minotakis , Hugo Rossignol , Matteo Cobelli , Stefano Sanvito

As a critical component of coherent X-ray diffraction imaging (CDI), phase retrieval has been extensively applied in X-ray structural science to recover the 3D morphological information inside measured particles. Despite meeting all the…

Image and Video Processing · Electrical Eng. & Systems 2021-10-29 Longlong Wu , Shinjae Yoo , Ana F. Suzana , Tadesse A. Assefa , Jiecheng Diao , Ross J. Harder , Wonsuk Cha , Ian K. Robinson

The computational complexity of calculating phase diagrams for multi-parameter models significantly limits the ability to select parameters that correspond to experimental data. This work presents a machine learning method for solving the…

Computational Physics · Physics 2026-05-01 V. A. Ulitko , D. N. Yasinskaya , S. A. Bezzubin , A. A. Koshelev , Y. D. Panov

We develop a novel approach to understand the phases of one-dimensional Bose-Hubbard models. We integrate the simplicity of the mean-field theory and the numerical power of the density matrix renormalization group method to build an…

Quantum Gases · Physics 2022-06-22 Pallavi P. Gaude , Ananya Das , Ramesh V. Pai

Quantum many-body systems pose a formidable computational challenge due to the exponential growth of their Hilbert space. While machine learning (ML) has shown promise as an alternative paradigm, most applications remain at the…

Disordered Systems and Neural Networks · Physics 2026-02-03 Yilun Gao , Alberto Rodríguez , Rudolf A. Römer

We develop an inhomogeneous mean-field theory for the extended Bose-Hubbard model with a quadratic, confining potential. In the absence of this potential, our mean-field theory yields the phase diagram of the homogeneous extended…

Quantum Gases · Physics 2012-02-01 Jamshid Moradi Kurdestany , Ramesh V. Pai , Rahul Pandit

Particulate composites underpin many solid-state chemical and electrochemical systems, where microstructural features such as multiphase boundaries and inter-particle connections strongly influence system performance. Advances in X-ray…

Materials Science · Physics 2026-05-19 Zebin Li , Shimao Deng , Yijin Liu , Jia-Mian Hu