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相关论文: Construction of CASCI-type wave functions for very…

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Inspired by our earlier semi-stochastic work aimed at converging high-level coupled-cluster (CC) energetics [J. E. Deustua, J. Shen, and P. Piecuch, Phys. Rev. Lett. 119, 223003 (2017); J. Chem. Phys. 154, 124103 (2021)], we propose a novel…

化学物理 · 物理学 2022-10-06 Karthik Gururangan , J. Emiliano Deustua , Jun Shen , Piotr Piecuch

Even when starting with a very poor initial guess, the iterative configuration interaction (iCI) approach can converge from above to full CI very quickly by constructing and diagonalizing a small Hamiltonian matrix at each…

化学物理 · 物理学 2020-01-07 Ning Zhang , Wenjian Liu , Mark R. Hoffmann

We present a new method for the optimization of large configuration interaction (CI) expansions in the quantum Monte Carlo (QMC) framework. The central idea here is to replace the non-orthogonal variational optimization of CI coefficients…

化学物理 · 物理学 2022-05-26 Abdallah Ammar , Emmanuel Giner , Anthony Scemama

We develop a multiscale approach to estimate high-dimensional probability distributions from a dataset of physical fields or configurations observed in experiments or simulations. In this way we can estimate energy functions (or…

统计力学 · 物理学 2024-12-24 Tanguy Marchand , Misaki Ozawa , Giulio Biroli , Stéphane Mallat

Approximate full configuration interaction (FCI) calculations have recently become tractable for systems of unforeseen size thanks to stochastic and adaptive approximations to the exponentially scaling FCI problem. The result of an FCI…

强关联电子 · 物理学 2017-10-25 Susi Lehtola , Norm M. Tubman , K. Birgitta Whaley , Martin Head-Gordon

The Density Matrix Renormalization Group (DMRG) method has become a prominent tool for simulating strongly correlated electronic systems characterized by dominant static correlation effects. However, capturing the full scope of electronic…

化学物理 · 物理学 2024-11-13 Nicholas Bauman , Libor Veis , Karol Kowalski , Jiri Brabec

Representing a strongly interacting multi-particle wave function in a finite product basis leads to errors. Simple rescaling of the contact interaction can preserve the low-lying energy spectrum and long-wavelength structure of wave…

量子气体 · 物理学 2011-08-23 Thomas Ernst , David W. Hallwood , Jake Gulliksen , Hans-Dieter Meyer , Joachim Brand

A major advance in density-matrix renormalization group (DMRG) calculations has been achieved by the invention of highly efficient DMRG techniques for the simulation of real-time dynamics of strongly correlated quantum systems in one…

强关联电子 · 物理学 2007-05-23 U. Schollwoeck , S. R. White

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.…

We investigate the performance of a class of compact and systematically improvable Jastrow-Slater wave functions for the efficient and accurate computation of structural properties, where the determinantal component is expanded with a…

化学物理 · 物理学 2019-01-17 Monika Dash , Saverio Moroni , Anthony Scemama , Claudia Filippi

We propose a data-driven approach using a Restricted Boltzmann Machine (RBM) to solve the Schr\"odinger equation in configuration space. Traditional Configuration Interaction (CI) methods construct the wavefunction as a linear combination…

We study the scaling behavior of two-dimensional (2D) crystalline membranes in the flat phase by a renormalization group (RG) method and an $\epsilon$-expansion. Generalization of the problem to non-integer dimensions, necessary to control…

统计力学 · 物理学 2020-05-11 Achille Mauri , Mikhail I. Katsnelson

We extend the recently proposed heat-bath configuration interaction (HCI) method [Holmes, Tubman, Umrigar, J. Chem. Theory Comput. 12, 3674 (2016)], by introducing a semistochastic algorithm for performing multireference Epstein-Nesbet…

化学物理 · 物理学 2017-03-20 Sandeep Sharma , Adam Holmes , Guillaume Jeanmairet , Ali Alavi , C. J. Umrigar

We describe in detail a full configuration interaction (CI) method designed to analyze systems of quantum dots. This method is capable of exploring large regions of parameter space, like more approximate approaches such as Heitler London…

介观与纳米尺度物理 · 物理学 2010-06-15 Erik Nielsen , Richard P. Muller

Based on the contractor renormalization group (CORE) method and the density matrix renormalization group (DMRG) method, a new computational scheme, which is called the block density matrix renormalization group with effective interactions…

强关联电子 · 物理学 2009-11-18 Haibo Ma , Chungen Liu , Yuansheng Jiang

We present an implementation of the relativistic quantum-chemical density matrix renormalization group (DMRG) approach based on a matrix-product formalism. Our approach allows us to optimize matrix product state (MPS) wave functions…

化学物理 · 物理学 2017-10-24 Stefano Battaglia , Sebastian Keller , Stefan Knecht

We study the dynamical density matrix renormalization group (DDMRG) and time-dependent density matrix renormalization group (td-DMRG) algorithms in the ab initio context, to compute dynamical correlation functions of correlated systems. We…

化学物理 · 物理学 2017-11-21 Enrico Ronca , Zhendong Li , Carlos A. Jimenez-Hoyos , Garnet Kin-Lic Chan

The Density Matrix Renormalization Group (DMRG) has become a powerful numerical method that can be applied to low-dimensional strongly correlated fermionic and bosonic systems. It allows for a very precise calculation of static, dynamic and…

强关联电子 · 物理学 2008-11-26 Karen Hallberg

Unbiased stochastic sampling of the one- and two-body reduced density matrices is achieved in full configuration interaction quantum Monte Carlo with the introduction of a second, "replica" ensemble of walkers, whose population evolves in…

We present an efficient stochastic algorithm for the recently introduced perturbative density matrix renormalization group (p-DMRG) method for large active spaces. The stochastic implementation bypasses the computational bottleneck involved…

化学物理 · 物理学 2018-08-01 Sheng Guo , Zhendong Li , Garnet Kin-Lic Chan