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The adaptively compressed exchange (ACE) method provides an efficient way for solving Hartree-Fock-like equations in quantum physics, chemistry, and materials science. The key step of the ACE method is to adaptively compress an operator…

Numerical Analysis · Mathematics 2017-11-22 Lin Lin , Michael Lindsey

With the development of deep learning, standard classification problems have achieved good results. However, conventional classification problems are often too idealistic. Most data in the natural world usually have imbalanced distribution…

Computer Vision and Pattern Recognition · Computer Science 2021-03-15 Yen-Chi Hsu , Cheng-Yao Hong , Wan-Cyuan Fan , Ming-Sui Lee , Davi Geiger , Tyng-Luh Liu

Accurate many-body treatments of condensed-phase systems are challenging because correlated solvers such as full configuration interaction (FCI) and the density matrix renormalization group (DMRG) scale exponentially with system size.…

During the past two decades, chiral effective field theory has become a popular tool to derive nuclear forces from first principles. Two-nucleon interactions have been worked out up to sixth order of chiral perturbation theory and…

Nuclear Theory · Physics 2016-08-31 R. Machleidt , F. Sammarruca

We consider a binary system of small and large objects in the continuous space interacting via a non-negative potential. By integrating over the small objects, the effective interaction between the large ones becomes multi-body. We prove…

Mathematical Physics · Physics 2020-02-19 Sabine Jansen , Dimitrios Tsagkarogiannis

Materials exhibiting a substitutional disorder such as multicomponent alloys and mixed metal oxides/oxyfluorides are of great importance in many scientific and technological sectors. Disordered materials constitute an overwhelmingly large…

We propose a deep amortized clustering (DAC), a neural architecture which learns to cluster datasets efficiently using a few forward passes. DAC implicitly learns what makes a cluster, how to group data points into clusters, and how to…

Machine Learning · Computer Science 2019-10-01 Juho Lee , Yoonho Lee , Yee Whye Teh

The Algebraic Cluster Model(ACM) is an interacting boson model that gives the relative motion of the cluster configurations in which all vibrational and rotational degrees of freedom are present from the outset. We schemed a solvable…

Nuclear Theory · Physics 2019-07-23 M. Ghapanvari , N. Amiri , M. A. Jafarizadeh

We have investigated plasma-surface interactions with molecular dynamics (MD) simulations. It, however, is high cost computation and is limited to simulations for materials of nanometer order. In order to overcome the limitation, a…

Materials Science · Physics 2010-05-20 Arimichi Takayama , Seiki Saito , Atsushi M. Ito , Takahiro Kenmotsu , Hiroaki Nakamura

The coherent dipole-dipole interactions of atoms in an atomic array are studied. It is found that the excitation probability of an atom in an array parallel to the direction of laser propagation ($\boldsymbol{\hat{k}}$) will either grow or…

Atomic Physics · Physics 2016-09-21 R. T. Sutherland , F. Robicheaux

We present an improved action for renormalizable effective field theories (EFTs) of systems near the two-body unitarity limit. The ordering of EFT interactions is constrained, but not entirely fixed, by the renormalization group. The…

Atomic and Molecular Clusters · Physics 2024-01-17 L. Contessi , M. Schäfer , U. van Kolck

An externally corrected coupled cluster (CC) method, where an adaptive configuration interaction (ACI) wave function provides the external cluster amplitudes, named ACI-CC, is presented. By exploiting the connection between configuration…

Chemical Physics · Physics 2023-09-27 Gustavo J. R. Aroeira , Madeline M. Davis , Justin M. Turney , Henry F. Schaefer

We investigate the convergence of coupled-cluster correlation energies and related quantities with respect to the employed basis set size for the uniform electron gas to gain a better understanding of the basis set incompleteness error. To…

Materials Science · Physics 2024-02-27 Nikolaos Masios , Felix Hummel , Andreas Grüneis , Andreas Irmler

Adaptive quantum design identifies the best broken-symmetry configurations of atoms and molecules that enable a desired target function response. In this work, numerical optimization is used to design atomic clusters with specified…

Strongly Correlated Electrons · Physics 2009-11-10 Jason Thalken , Yu Chen , A. F. J. Levi , Stephan Haas

Many-body descriptors are widely used to represent atomic environments in the construction of machine learned interatomic potentials and more broadly for fitting, classification and embedding tasks on atomic structures. It was generally…

We have carried out theoretical investigations of electron correlation effects on the atomic properties of the Ca atom trapped inside an attractive spherically symmetric potential well of an endohedral fullerene C$_{60}$ cluster.…

Atomic Physics · Physics 2018-07-24 S. Bharti , L. Sharma , B. K. Sahoo , P. Malkar , R. Srivastava

Solving for the many-body wavefunction represents a significant challenge on both classical and quantum devices because of the exponential scaling of the Hilbert space with system size. While the complexity of the wavefunction can be…

Quantum Physics · Physics 2025-05-06 Yuchen Wang , David A. Mazziotti

The performance of several common approximations for the exchange-correlation kernel within time-dependent density-functional theory is tested for elementary excitations in the homogeneous electron gas. Although the adiabatic local-density…

Materials Science · Physics 2007-05-23 Krzysztof Tatarczyk , Arno Schindlmayr , Matthias Scheffler

We demonstrate that numerical linked cluster expansions (NLCE) yield a powerful approach to calculate time-dependent correlation functions for quantum many-body systems in one dimension. As a paradigmatic example, we study the dynamics of…

Strongly Correlated Electrons · Physics 2019-03-21 Jonas Richter , Robin Steinigeweg

Contractor Renormalization (CORE) is a numerical renormalization method for Hamiltonian systems that has found applications in particle and condensed matter physics. There have been few studies, however, on further understanding of what…

Strongly Correlated Electrons · Physics 2013-05-29 M. Stewart Siu , Marvin Weinstein