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Machine learning methods for solving the equations of dynamical mean-field theory are developed. The method is demonstrated on the three dimensional Hubbard model. The key technical issues are defining a mapping of an input function to an…

Strongly Correlated Electrons · Physics 2015-07-01 Louis-François Arsenault , O. Anatole von Lilienfeld , Andrew J. Millis

We investigate the phase diagram of the three-dimensional Hubbard model at half filling using quantum Monte Carlo (QMC) simulations. The antiferromagnetic Neel temperature T_N is determined from the specific heat maximum in combination with…

Strongly Correlated Electrons · Physics 2009-10-31 R. Staudt , M. Dzierzawa , A. Muramatsu

Calculation of topological invariants for crystalline systems is well understood in reciprocal space, allowing for the topological classification of a wide spectrum of materials. In this work, we present a new technique based on the…

Disordered Systems and Neural Networks · Physics 2022-02-28 Alejandro José Uría-Álvarez , Daniel Molpeceres-Mingo , Juan José Palacios

We identify configurational phases and structural transitions in a polymer nanotube composite by means of machine learning. We employ various unsupervised dimensionality reduction methods, conventional neural networks, as well as the…

Soft Condensed Matter · Physics 2022-04-06 Quinn Parker , Dilina Perera , Ying Wai Li , Thomas Vogel

Knowledge of phase diagrams is essential for material design as it helps in understanding microstructure evolution during processing. The determination of phase diagrams is thus one of the central tasks in materials science. When exploring…

Materials Science · Physics 2022-03-08 Guillaume Deffrennes , Kei Terayama , Taichi Abe , Ryo Tamura

Maximum likelihood (ML) learning for energy-based models (EBMs) is challenging, partly due to non-convergence of Markov chain Monte Carlo.Several variations of ML learning have been proposed, but existing methods all fail to achieve both…

Machine Learning · Statistics 2023-04-24 Xinwei Zhang , Zhiqiang Tan , Zhijian Ou

The landscape of condensed matter physics is facing an unprecedented data surge driven by high-throughput ab initio workflows and rapidly expanding experimental datasets. Traditional first-principles methods such as Density Functional…

Mesoscale and Nanoscale Physics · Physics 2026-04-20 Mahyar Hassani-Vasmejani , Hosein Alavi-Rad , Meysam Bagheri Tagani

We report our findings on quantum phase transitions in cold bosonic atoms in a one dimensional optical lattice using the finite size density matrix renormalization group method in the framework of the extended Bose-Hubbard model. We…

Quantum Gases · Physics 2015-05-13 Tapan Mishra , Ramesh V. Pai , S. Ramanan , Meetu Sethi Luthra , B. P. Das

Molecular dynamics (MD) enables the study of physical systems with excellent spatiotemporal resolution but suffers from severe time-scale limitations. To address this, enhanced sampling methods have been developed to improve exploration of…

Statistical Mechanics · Physics 2023-06-19 Shams Mehdi , Zachary Smith , Lukas Herron , Ziyue Zou , Pratyush Tiwary

We address an inverse problem in modeling holographic superconductors. We focus our research on the critical temperature behavior depicted by experiments. We use a physics-informed neural network method to find a mass function $M(F^2)$,…

High Energy Physics - Theory · Physics 2025-05-08 Sejin Kim , Kyung Kiu Kim , Yunseok Seo

In one-dimensional systems a twisted superfluid phase is found which is induced by a spontaneous breaking of the time-reversal symmetry. Using the density-matrix renormalization group allows us to show that the excitation energy gap closes…

Quantum Gases · Physics 2016-07-22 Dirk-Sören Lühmann

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

Cold atom optical lattices typically simulate zero-range Hubbard models. We discuss the theoretical possibility of using excited states of optical lattices to generate extended range Hubbard models. We find that bosons confined to higher…

Other Condensed Matter · Physics 2009-11-11 V. W. Scarola , S. Das Sarma

In recent years, machine learning has been adopted to complex networks, but most existing works concern about the structural properties. To use machine learning to detect phase transitions and accurately identify the critical transition…

Physics and Society · Physics 2020-01-08 Qi Ni , Ming Tang , Ying Liu , Ying-Cheng Lai

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 use the finite-size density-matrix-renormalization-group (FSDMRG) method to obtain the phase diagram of the one-dimensional ($d = 1$) extended Bose-Hubbard model for density $\rho = 1$ in the $U-V$ plane, where $U$ and $V$ are,…

Superconductivity · Physics 2009-11-10 Ramesh V. Pai , Rahul Pandit

Phase-field modeling is an elegant and versatile computation tool to predict microstructure evolution in materials in the mesoscale regime. However, these simulations require rigorous numerical solutions of differential equations, which are…

Materials Science · Physics 2023-08-08 Owais Ahmad , Naveen Kumar , Rajdip Mukherjee , Somnath Bhowmick

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

Detecting the entanglement structure, such as intactness and depth, of an n-qubit state is important for understanding the imperfectness of the state preparation in experiments. However, identifying such structure usually requires an…

Quantum Physics · Physics 2020-12-15 Changbo Chen , Changliang Ren , Hongqing Lin , He Lu

We study the phase diagram of two weakly coupled one-dimensional dipolar boson chains at half-odd-integer fillings. We find that the system contains a rich phase diagram. Four different phases are found. They are the Mott insulators, the…

Superconductivity · Physics 2009-11-13 Yu-Wen Lee