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Coupled cluster and symmetry projected Hartree-Fock are two central paradigms in electronic structure theory. However, they are very different. Single reference coupled cluster is highly successful for treating weakly correlated systems,…

Quantum chemistry has been viewed as one of the potential early applications of quantum computing. Two techniques have been proposed for electronic structure calculations: (i) the variational quantum eigensolver and (ii) the…

Quantum Physics · Physics 2021-04-19 Christina Daniel , Diksha Dhawan , Dominika Zgid , James K. Freericks

Several pairing schemes currently used to describe superfluid nuclei through Hartree-Fock-Bogolyubov (HFB) calculations are briefly reviewed. We put a particular emphasis on the regularization recipes used in connection with zero-range…

Nuclear Theory · Physics 2007-05-23 T. Duguet , K. Bennaceur , P. Bonche

In electronic structure theory, restricted single-reference coupled cluster (CC) captures weak correlation but fails catastrophically under strong correlation. Spin-projected unrestricted Hartree-Fock (SUHF), on the other hand, misses weak…

Chemical Physics · Physics 2017-11-22 John A. Gomez , Thomas M. Henderson , Gustavo E. Scuseria

We present new formulae for the matrix elements of one-body and two-body physical operators in compact forms, which are applicable to arbitrary Hartree-Fock-Bogoliubov wave functions, including those for multi-quasiparticle excitations. The…

Nuclear Theory · Physics 2015-06-16 Qing-Li Hu , Zao-Chun Gao , Y. S. Chen

We describe the computational ingredients for an approach to treat interacting fermion systems in the presence of pairing fields, based on path-integrals in the space of Hartree-Fock-Bogoliubov (HFB) wave functions. The path-integrals can…

Strongly Correlated Electrons · Physics 2017-01-30 Hao Shi , Shiwei Zhang

The Hartree-Fock (HF) wave function, commonly used for approximating molecular ground states, becomes nonideal in open shell systems due to the inherent multi-configurational nature of the wave function, limiting accuracy in Quantum…

Chemical Physics · Physics 2026-02-23 Pawan Sharma Poudel , Kenji Sugisaki , Michal Hajdušek , Rodney Van Meter

The extension of the density functional theory (DFT) to include pairing correlations without formal violation of the particle-number conservation condition is described. This version of the theory can be considered as a foundation of the…

Nuclear Theory · Physics 2007-05-23 S. Krewald , V. B. Soubbotin , V. I. Tselyaev , X. Vinas

We describe the new version 3.00 of the code HFBTHO that solves the nuclear Hartree-Fock (HF) or Hartree-Fock-Bogolyubov (HFB) problem by using the cylindrical transformed deformed harmonic oscillator basis. In the new version, we have…

Nuclear Theory · Physics 2018-02-06 R. Navarro Perez , N. Schunck , R. -D. Lasseri , C. Zhang , J. Sarich

The quantum many-body problem in condensed phases is often simplified using a quasiparticle description, such as effective mass theory for electron motion in a periodic solid. These approaches are often the basis for understanding many…

Statistical Mechanics · Physics 2020-10-28 Richard C. Remsing , Jefferson E. Bates

A review of new developments in theoretical and experimental electronic structure investigations of half-metallic ferromagnets (HMF) is presented. Being semiconductors for one spin projection and metals for another ones, these substances…

Materials Science · Physics 2008-09-17 M. I. Katsnelson , V. Yu. Irkhin , L. Chioncel , A. I. Lichtenstein , R. A. de Groot

We present a first-principles-based multiscale simulation framework for quantitative predictions of the high-energy part of the Ultraviolet Photoelectron Spectroscopy (UPS) spectra of amorphous molecular solids. The approach combines a…

We present a generalized quasi-particle theory for bosonic lattice systems, which naturally contains all relevant collective modes, including the Higgs amplitude in the strongly correlated superfluid. In contrast to Bogoliubov theory, this…

Quantum Gases · Physics 2014-01-21 Ulf Bissbort , Michael Buchhold , Walter Hofstetter

The stretching of closed-shell molecules is a qualitative problem for restricted Hartree-Fock that is usually circumvented by the use of unrestricted Hartree-Fock (UHF). UHF is well known to break the spin symmetry at the Coulson-Fischer…

Chemical Physics · Physics 2015-06-23 Paula Mori-Sánchez , Aron J. Cohen

A practical electronic structure method in which a two-body functional is the fundamental variable is constructed. The basic formalism of our method is equivalent to Hartree-Fock density matrix functional theory [M. Levy in {\it Density…

Other Condensed Matter · Physics 2008-04-23 Balazs Hetenyi , Andreas W. Hauser

We present a subspace projection technique to conduct large-scale Kohn-Sham density functional theory calculations using spectral finite-element discretization. The proposed method treats both metallic and insulating materials in a single…

Computational Physics · Physics 2015-10-26 Phani Motamarri , Vikram Gavini

In this work we explore the performance of approximations to electron correlation in reduced density-matrix functional theory (RDMFT) and of approximations to the observables calculated within this theory. Our analysis focuses on the…

Strongly Correlated Electrons · Physics 2015-02-26 Stefano Di Sabatino , Jan A. Berger , Lucia Reining , Pina Romaniello

We critically examine the Hartree-Fock-Bogoliubov (HFB) solution of the equations of motion for condensate fluctuations in a weakly coupled plasma of charged bosons at finite temperature. Analytic expressions are derived for the first two…

Statistical Mechanics · Physics 2009-11-07 B. Davoudi , A. Minguzzi , M. P. Tosi

Multiresolution analysis of electronic structure affords the opportunity to capture the full physics of atomic cores in a systematically improvable manner. Applying new techniques, we demonstrate for the first time that multiresolution…

Condensed Matter · Physics 2009-11-07 Torkel D. Engeness , T. A. Arias

In this work we investigate methods to improve the efficiency and scalability of quantum algorithms for quantum chemistry applications. We propose a transformation of the electronic structure Hamiltonian in the second quantization framework…

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