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We propose a new theoretical approach to ground and low-energy excited states of nuclei extending the nuclear mean-field theory. It consists of three steps: stochastic preparation of many Slater determinants, the parity and angular momentum…

Nuclear Theory · Physics 2009-11-11 S. Shinohara , H. Ohta , T. Nakatsukasa , K. Yabana

To calculate excited states in quantum many-body systems, multi-configuration mixing has often been employed. However, it has been still unclear how to choose important Slater determinants from a huge model space. We propose a novel…

Nuclear Theory · Physics 2022-03-02 Takatoshi Ichikawa , Naoyuki Itagaki

We propose a simple, easy to implement, variant of the EXCITED method for variational many-body calculations for excited states. We apply this method to the Hybrid Multideterminant method(HMD). We test this method with relatively few Slater…

Nuclear Theory · Physics 2011-09-27 Giovanni Puddu

Large-scale calculation based on the multi-configuration Skyrme density functional theory is performed for the light N=Z even-even nucleus, 12C. Stochastic procedures and the imaginary-time evolution are utilized to prepare many Slater…

Nuclear Theory · Physics 2012-12-04 Y. Fukuoka , T. Nakatsukasa , Y. Funaki , K. Yabana

We propose a method to optimize the multi-Slater determinants of the antisymmetrized molecular dynamics (AMD) in the linear combination form and apply it to the neutron-rich $^{10}$Be nucleus. The individual Slater determinants and their…

Nuclear Theory · Physics 2024-01-29 Takayuki Myo , Mengjiao Lyu , Qing Zhao , Masahiro Isaka , Niu Wan , Hiroki Takemoto , Hisashi Horiuchi

Excited states in molecules can be difficult to investigate and generally require methods that are either computationally expensive or are not universally accurate. Recent research has focused on using higher-energy Slater determinants as…

Chemical Physics · Physics 2023-01-26 Diana-Gabriela Oprea , Hugh G. A. Burton

A method is presented in which the ground-state subspace is projected out of a Hamiltonian representation. As a result of this projection, an effective Hamiltonian is constructed where its ground-state coincides with an excited-state of the…

Quantum Physics · Physics 2023-08-14 P. Jouzdani , S. Bringuier , M. Kostuk

We calculate densities of excited states in the quasiparticle random-phase approximation (QRPA)with Skyrme interactions and volume pairing. We focus on low-energy peaks/bumps in the strength functions of a range of Ca, Ni, and Sn isotopes…

Nuclear Theory · Physics 2008-11-26 J. Terasaki , J. Engel

The calculation of excited state energies of electronic structure Hamiltonians has many important applications, such as the calculation of optical spectra and reaction rates. While low-depth quantum algorithms, such as the variational…

Quantum Physics · Physics 2019-07-03 Oscar Higgott , Daochen Wang , Stephen Brierley

A novel method for the precise identification and determination of the energies that contribute in the spectral decomposition of lattice correlators is presented. The method is based on statistical concepts and it relies heavily on…

High Energy Physics - Lattice · Physics 2010-01-21 C. Alexandrou , C. N. Papanicolas , E. Stiliaris

We combine recent advances in excited state variational principles, fast multi-Slater Jastrow methods, and selective configuration interaction to create multi-Slater Jastrow wave function approximations that are optimized for individual…

Strongly Correlated Electrons · Physics 2019-06-19 Sergio D. Pineda Flores , Eric Neuscamman

We calculate the contribution of the decay products of excited nuclear cluster states to the event-by-event fluctuations of protons in the energy range from $\sqrt{s_{NN}}=2-5$~GeV within the statistical model. We find that the inclusion of…

Nuclear Theory · Physics 2024-12-09 Boris Tomasik , Marcus Bleicher

The computation of excited electronic states with commonly employed (approximate) methods is challenging, typically yielding states of lower quality than the corresponding ground state for a higher computational cost. In this work, we…

Materials Science · Physics 2020-04-01 Nell Karpinski , Pablo Ramos , Michele Pavanello

In this article, we describe a recursive method to construct a subset of relevant Slater-determinants for the use in many-body diagonalization schemes that will be employed in our forthcoming papers on the simulation of excited many-body…

Other Condensed Matter · Physics 2007-05-23 K. M. Indlekofer , R. Németh

A deep-learning approach to optimize the selection of Slater determinants in configuration interaction calculations for condensed-matter quantum many-body systems is developed. We exemplify our algorithm on the discrete version of the…

Strongly Correlated Electrons · Physics 2025-02-11 Pavlo Bilous , Louis Thirion , Henri Menke , Maurits W. Haverkort , Adriana Pálffy , Philipp Hansmann

We apply the optimized-basis generator coordinate method (OptGCM) to sd-shell nuclei, $^{20}$Ne, $^{24}$Mg, and $^{28}$Si. This method variationally optimizes both the basis Slater determinants in the generator coordinate method (GCM) and…

Nuclear Theory · Physics 2025-06-18 Moemi Matsumoto , Yusuke Tanimura , Kouichi Hagino

We propose a new block localized excitation (BLE) method to directly construct diabatic excited states without the need to first compute the adiabatic states. The new method is capable to keep any electrons, spins, and excitations localized…

Chemical Physics · Physics 2020-01-22 Peng Bao , Qiang Shi , Jiali Gao

Determining quantum excited states is crucial across physics and chemistry but presents significant challenges for variational methods, primarily due to the need to enforce orthogonality to lower-energy states, often requiring…

Quantum Physics · Physics 2025-05-01 Shi-Xin Zhang , Lei Wang

In this communication, we propose a method for obtaining isolated excited states within the Full Configuration Interaction Quantum Monte Carlo framework. This method allows for stable sampling with respect to collapse to lower energy states…

Strongly Correlated Electrons · Physics 2014-10-10 George H. Booth , Garnet Kin-Lic Chan

We characterize and classify quantum correlations in two-fermion systems having 2K single-particle states. For pure states we introduce the Slater decomposition and rank (in analogy to Schmidt decomposition and rank), i.e. we decompose the…

Quantum Physics · Physics 2009-11-06 John Schliemann , J. Ignacio Cirac , Marek Kus , Maciej Lewenstein , Daniel Loss
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