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We propose a new stochastic method to describe low-lying excited states of finite nuclei superposing multiple Slater determinants without assuming generator coordinates a priori. We examine accuracy of our method by using simple BKN…

Nuclear Theory · Physics 2008-11-26 S. Shinohara , H. Ohta , T. Nakatsukasa , K. Yabana

Early work extending the Kohn-Sham theory to excited states utilized an ensemble average of the Hamiltonian considered as a functional of the corresponding average density. We propose and develop an alternative that utilizes the matrix…

Atomic Physics · Physics 2007-05-23 Abraham Klein , Reiner M. Dreizler

The mean-field solutions of electronic excited states are much less accessible than ground state (e.g.\ Hartree-Fock) solutions. Energy-based optimization methods for excited states, like $\Delta$-scf, tend to fall into the lowest solution…

Chemical Physics · Physics 2022-10-11 Hong-Zhou Ye , Matthew Wellborn , Nathan D. Ricke , Troy Van Voorhis

A novel approach to rapidly converging high-level coupled-cluster (CC) energetics in an automated fashion is proposed. The key idea is an adaptive selection of the excitation manifolds defining higher-than-two-body components of the cluster…

Chemical Physics · Physics 2023-08-25 Karthik Gururangan , Piotr Piecuch

Variational wave function ansatze are an invaluable tool to study the properties of strongly correlated systems. We propose such a wave function, based on the theory of auxiliary fields and combining aspects of auxiliary-field quantum Monte…

Strongly Correlated Electrons · Physics 2024-03-13 Ryan Levy , Miguel A. Morales , Shiwei Zhang

We study a system of interacting electrons on a one-dimensional quantum ring using exact diagonalization and the variational quantum Monte Carlo method. We examine the accuracy of the Slater-Jastrow -type many-body wave function and compare…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. S. Gylfadottir , A. Harju , T. Jouttenus , C. Webb

We present a general approach to converge excited state solutions to any quantum chemistry orbital optimization process, without the risk of variational collapse. The resulting Square Gradient Minimization (SGM) approach only requires…

Chemical Physics · Physics 2020-03-11 Diptarka Hait , Martin Head-Gordon

We generalize the Aufbau suppressed coupled cluster formalism into the realm of doubly excited states by deriving, implementing, and testing a wave function initialization strategy that allows the zeroth order wave function to match the…

Chemical Physics · Physics 2026-05-11 Qasim Javed , Harrison Tuckman , Eric Neuscamman

We propose a methodology to construct excited states with a fixed angular momentum, namely, "yrast excited states" of finite-size one-dimensional bosonic systems with periodic boundary conditions. The excitation energies such as the first…

Quantum Gases · Physics 2011-12-20 Eriko Kaminishi , Rina Kanamoto , Jun Sato , Tetsuo Deguchi

Variational excited-state density functional theory (DFT) enables the calculation of excited states at a cost comparable to ground-state calculations, but single-configuration approaches often suffer from spin contamination. We implement…

Chemical Physics · Physics 2026-05-28 Michael J. Sahre , Marco Romanelli , Martijn Marsman , Leticia González , Georg Kresse

A method is developed that allows analysis of quantum Monte Carlo simulations to identify errors in trial wave functions. The purpose of this method is to allow for the systematic improvement of variational wave functions by identifying…

Strongly Correlated Electrons · Physics 2016-08-03 Kiel T. Williams , Lucas K. Wagner

Excited state normal modes analysis is systematically applied to investigate and compare relaxation and internal conversion dynamics of a free-base porphyrin with a novel functional porphyrin derivative. We discuss strenghts and limitation…

Chemical Physics · Physics 2023-07-11 Pavel Rukin , Deborah Prezzi , Carlo Andrea Rozzi

An exchange energy functional is proposed and tested for obtaining a class of excited-state energies using density-functional formalism. The functional is the excited-state counterpart of the local-density approximation functional for the…

Other Condensed Matter · Physics 2007-05-23 Prasanjit Samal , Manoj K. Harbola

Calculating the energy spectrum of a quantum system is an important task, for example to analyse reaction rates in drug discovery and catalysis. There has been significant progress in developing algorithms to calculate the ground state…

Quantum Physics · Physics 2019-06-12 Suguru Endo , Tyson Jones , Sam McArdle , Xiao Yuan , Simon Benjamin

In this work, trions in two-dimensional (2D) space are studied by variational method with trial wavefunctions being constructed by linear combinations of 2D slater-type orbitals (STOs). Via this method, trion energy levels and wavefunctions…

Mesoscale and Nanoscale Physics · Physics 2021-07-28 Yao-Wen Chang , Yia-Chung Chang

The formalism to calculate excited state properties from the $GW$-Bethe-Salpeter equation (BSE) method is introduced, providing convenient access to excited state absorption, excited state circular dichroism, and excited state optical…

Chemical Physics · Physics 2024-12-25 Paula Himmelsbach , Christof Holzer

Given a number of datasets for evaluating the performance of single reference methods for the low-lying excited states of closed-shell molecules, a comprehensive dataset for assessing the performance of multireference methods for the…

Chemical Physics · Physics 2024-11-07 Yangyang Song , Ning Zhang , Yibo Lei , Yang Guo , Wenjian Liu

The method of analytic continuation is used to find exact integral equations for a selection of finite-volume energy levels for the non-unitary minimal models $M_{2,2N+3}$ perturbed by their $\varphi_{13}$ operators. The N=2 case is studied…

High Energy Physics - Theory · Physics 2009-10-30 Patrick Dorey , Roberto Tateo

Analytical formulas for the excitation energies as well as for the electric quadrupole reduced transition probabilities in the ground, beta and gamma bands were derived within the coherent state model for the near vibrational and well…

Nuclear Theory · Physics 2015-05-30 A. A. Raduta , R. Budaca , Amand Faessler

In single-reference coupled-cluster (CC) methods, one has to solve a set of non-linear polynomial equations in order to determine the so-called amplitudes which are then used to compute the energy and other properties. Although it is of…

Chemical Physics · Physics 2021-09-10 Antoine Marie , Fábris Kossoski , Pierre-François Loos
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