English
Related papers

Related papers: Solving two and three-body systems with deep neura…

200 papers

We employ the nuclear lattice effective field theory (NLEFT), an efficient tool for nuclear ab initio calculations, to solve the asymmetric multihadron systems. We take the $DD^*K$ three-body system as an illustration to demonstrate the…

High Energy Physics - Phenomenology · Physics 2025-02-05 Zhenyu Zhang , Xin-Yue Hu , Guangzhao He , Jun Liu , Jia-Ai Shi , Bing-Nan Lu , Qian Wang

In this work we apply deep neural networks to find the non-equilibrium steady state solution to correlated open quantum many-body systems. Motivated by the ongoing search to find more powerful representations of (mixed) quantum states, we…

Quantum Physics · Physics 2025-01-13 Johannes Mellak , Enrico Arrigoni , Wolfgang von der Linden

A recently developed three-dimensional approach (without partial-wave decomposition) is considered to investigate solutions of Faddeev-Yakubovsky integral equations in momentum space for three- and four-body bound states, with the inclusion…

Nuclear Theory · Physics 2011-07-08 M. R. Hadizadeh , Lauro Tomio , S. Bayegan

The resemblance between the methods used in quantum-many body physics and in machine learning has drawn considerable attention. In particular, tensor networks (TNs) and deep learning architectures bear striking similarities to the extent…

Machine Learning · Statistics 2019-08-05 Ding Liu , Shi-Ju Ran , Peter Wittek , Cheng Peng , Raul Blázquez García , Gang Su , Maciej Lewenstein

The universal variational expansion for the non-relativistic three-body systems is explicitly constructed. Three-body universal expansion can be used to perform highly accurate numerical computations of the bound state spectra in arbitrary…

Atomic Physics · Physics 2018-04-18 Alexei M Frolov

Computing the ground state of interacting quantum matter is a long-standing challenge, especially for complex two-dimensional systems. Recent developments have highlighted the potential of neural quantum states to solve the quantum…

Disordered Systems and Neural Networks · Physics 2025-07-03 Ao Chen , Markus Heyl

Many binary systems of interest for gravitational-wave astronomy are orbited by a third distant body, which can considerably alter their relativistic dynamics. Precision computations are needed to understand the interplay between…

General Relativity and Quantum Cosmology · Physics 2023-02-22 Adrien Kuntz , Francesco Serra , Enrico Trincherini

Computing dynamical distributions in quantum many-body systems represents one of the paradigmatic open problems in theoretical condensed matter physics. Despite the existence of different techniques both in real-time and frequency space,…

Disordered Systems and Neural Networks · Physics 2021-08-04 Rouven Koch , Jose L. Lado

Deep neural networks have become a pervasive tool in science and engineering. However, modern deep neural networks' growing energy requirements now increasingly limit their scaling and broader use. We propose a radical alternative for…

Machine Learning · Computer Science 2022-01-31 Logan G. Wright , Tatsuhiro Onodera , Martin M. Stein , Tianyu Wang , Darren T. Schachter , Zoey Hu , Peter L. McMahon

Neural networks have emerged as a powerful way to approach many practical problems in quantum physics. In this work, we illustrate the power of deep learning to predict the dynamics of a quantum many-body system, where the training is…

We present a method based on hyperspherical harmonics to solve the nuclear many-body problem. It is an extension of accurate methods used for studying few-body systems to many bodies and is based on the assumption that nucleons in nuclei…

Nuclear Theory · Physics 2009-11-10 M. Fabre de la Ripelle , S. A. Sofianos , R. M. Adam

Neural networks (NNs) have great potential in solving the ground state of various many-body problems. However, several key challenges remain to be overcome before NNs can tackle problems and system sizes inaccessible with more established…

Strongly Correlated Electrons · Physics 2026-02-24 Khachatur Nazaryan , Filippo Gaggioli , Yi Teng , Liang Fu

Deep quantum neural networks may provide a promising way to achieve quantum learning advantage with noisy intermediate scale quantum devices. Here, we use deep quantum feedforward neural networks capable of universal quantum computation to…

Quantum Physics · Physics 2020-08-14 Zidu Liu , L. -M. Duan , Dong-Ling Deng

We extend the method from [Naito, Naito, and Hashimoto, Phys. Rev. Research 5, 033189 (2023)] to solve the Dirac equation not only for the ground state but also for low-lying excited states using a deep neural network and the unsupervised…

Quantum Physics · Physics 2025-07-17 Chuanxin Wang , Tomoya Naito , Jian Li , Haozhao Liang

We review recent progress in implementing high-precision chiral two- and three-body forces in nuclear many-body systems beyond light nuclei. We begin with applications to finite nuclei, which we study through the nuclear shell model and…

Nuclear Theory · Physics 2015-06-03 J. W. Holt , N. Kaiser , W. Weise

Neural networks (NNs) are employed to predict equations of state from a given isotropic pair potential using the virial expansion of the pressure. The NNs are trained with data from molecular dynamics simulations of monoatomic gases and…

Soft Condensed Matter · Physics 2024-06-19 Fabian Berressem , Arash Nikoubashman

Deep artificial neural networks are powerful tools with many possible applications in nanophotonics. Here, we demonstrate how a deep neural network can be used as a fast, general purpose predictor of the full near-field and far-field…

Computational Physics · Physics 2020-01-28 Peter R. Wiecha , Otto L. Muskens

A three-body potential function can account for interactions among triples of particles which are uncaptured by pairwise interaction functions such as Coulombic or Lennard-Jones potentials. Likewise, a multibody potential of order $n$ can…

Computational Physics · Physics 2015-05-28 Dongryeol Lee , Arkadas Ozakin , Alexander G. Gray

The paper contains a review of the exact or accurate results achieved in the field of the three-body antikaon-nucleon physics. Different states and processes in $\bar{K}NN$ and $\bar{K}\bar{K}N$ systems are considered. In particular,…

Nuclear Theory · Physics 2017-01-04 N. V. Shevchenko

The paper is devoted to the $\bar{K}NNN$ system, which is an exotic system consisting of an antikaon and three nucleons. Dynamically exact four-body Faddeev-type equations were solved and characteristics of the quasi-bound state in the…

Nuclear Theory · Physics 2023-01-11 N. V. Shevchenko