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相关论文: Ab-Initio Solution of the Many-Electron Schr\"odin…

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Predicting the structure of quantum many-body systems from the first principles of quantum mechanics is a common challenge in physics, chemistry, and material science. Deep machine learning has proven to be a powerful tool for solving…

核理论 · 物理学 2023-04-05 Yilong Yang , Pengwei Zhao

Machine learning and specifically deep-learning methods have outperformed human capabilities in many pattern recognition and data processing problems, in game playing, and now also play an increasingly important role in scientific…

[New and updated results were published in Nature Chemistry, doi:10.1038/s41557-020-0544-y.] The electronic Schr\"odinger equation describes fundamental properties of molecules and materials, but can only be solved analytically for the…

计算物理 · 物理学 2020-09-25 Jan Hermann , Zeno Schätzle , Frank Noé

Finding accurate solutions to the electronic Schr\"odinger equation plays an important role in discovering important molecular and material energies and characteristics. Consequently, solving systems with large numbers of electrons has…

机器学习 · 计算机科学 2024-01-22 Shai Pranesh , Shang Zhu , Venkat Viswanathan , Bharath Ramsundar

Solving the Schr\"{o}dinger equation for interacting many-body quantum systems faces computational challenges due to exponential scaling with system size. This complexity limits the study of important phenomena in materials science and…

材料科学 · 物理学 2024-05-27 Avishek Singh , Nirmal Ganguli

Computing accurate yet efficient approximations to the solutions of the electronic Schr\"odinger equation has been a paramount challenge of computational chemistry for decades. Quantum Monte Carlo methods are a promising avenue of…

化学物理 · 物理学 2023-09-25 Zeno Schätzle , Bernát Szabó , Matĕj Mezera , Jan Hermann , Frank Noé

Deep neural networks have become a highly accurate and powerful wavefunction ansatz in combination with variational Monte Carlo methods for solving the electronic Schr\"odinger equation. However, despite their success and favorable scaling,…

计算物理 · 物理学 2023-03-20 Michael Scherbela , Leon Gerard , Philipp Grohs

Accurate numerical solutions for the Schr\"odinger equation are of utmost importance in quantum chemistry. However, the computational cost of current high-accuracy methods scales poorly with the number of interacting particles. Combining…

The Fermionic Neural Network (FermiNet) is a recently-developed neural network architecture that can be used as a wavefunction Ansatz for many-electron systems, and has already demonstrated high accuracy on small systems. Here we present…

计算物理 · 物理学 2020-11-17 James S. Spencer , David Pfau , Aleksandar Botev , W. M. C. Foulkes

Quantum chemical calculations of the ground-state properties of positron-molecule complexes are challenging. The main difficulty lies in employing an appropriate basis set for representing the coalescence between electrons and a positron.…

计算物理 · 物理学 2024-02-08 G. Cassella , W. M. C. Foulkes , D. Pfau , J. S. Spencer

Deep learning techniques have opened a new venue for electronic structure theory in recent years. In contrast to traditional methods, deep neural networks provide much more expressive and flexible wave function ansatz, resulting in better…

化学物理 · 物理学 2021-09-08 Xiang Li , Cunwei Fan , Weiluo Ren , Ji Chen

We discuss differences and similarities between variational Monte Carlo approaches that use conventional and artificial neural network parameterizations of the ground-state wave function for systems of fermions. We focus on a relatively…

介观与纳米尺度物理 · 物理学 2025-01-13 Even M. Nordhagen , Jane M. Kim , Bryce Fore , Alessandro Lovato , Morten Hjorth-Jensen

Understanding superfluidity remains a major goal of condensed matter physics. Here we tackle this challenge utilizing the recently developed Fermionic neural network (FermiNet) wave function Ansatz [D. Pfau et al., Phys. Rev. Res. 2, 033429…

Simulating strongly correlated fermionic systems remains a fundamental challenge in quantum physics, largely due to the sign problem in quantum Monte Carlo (QMC) methods. We present a neural network-based variational Monte Carlo (NN-VMC)…

计算物理 · 物理学 2025-09-09 William Freitas , B. Abreu , S. A. Vitiello

Recently developed neural network-based \emph{ab-initio} solutions (Pfau et. al arxiv:1909.02487v2) for finding ground states of fermionic systems can generate state-of-the-art results on a broad class of systems. In this work, we improve…

化学物理 · 物理学 2021-03-26 Max Wilson , Nicholas Gao , Filip Wudarski , Eleanor Rieffel , Norm M. Tubman

Solving the Schr\"odinger equation is key to many quantum mechanical properties. However, an analytical solution is only tractable for single-electron systems. Recently, neural networks succeeded at modeling wave functions of many-electron…

机器学习 · 计算机科学 2022-03-30 Nicholas Gao , Stephan Günnemann

Deep neural networks have been extremely successful as highly accurate wave function ans\"atze for variational Monte Carlo calculations of molecular ground states. We present an extension of one such ansatz, FermiNet, to calculations of the…

计算物理 · 物理学 2023-02-01 G. Cassella , H. Sutterud , S. Azadi , N. D. Drummond , D. Pfau , J. S. Spencer , W. M. C. Foulkes

Obtaining accurate solutions to the Schr\"odinger equation is the key challenge in computational quantum chemistry. Deep-learning-based Variational Monte Carlo (DL-VMC) has recently outperformed conventional approaches in terms of accuracy,…

化学物理 · 物理学 2023-07-19 Michael Scherbela , Leon Gerard , Philipp Grohs

The emergence of machine learning methods in quantum chemistry provides new methods to revisit an old problem: Can the predictive accuracy of electronic structure calculations be decoupled from their numerical bottlenecks? Previous attempts…

计算物理 · 物理学 2020-08-26 M. Gastegger , A. McSloy , M. Luya , K. T. Schütt , R. J. Maurer

Variational ab-initio methods in quantum chemistry stand out among other methods in providing direct access to the wave function. This allows in principle straightforward extraction of any other observable of interest, besides the energy,…

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