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Donor-based quantum devices in silicon are attractive platforms for universal quantum computing and analog quantum simulations. The nearly-atomic precision in dopant placement promises great control over the quantum properties of these…

Quantum Physics · Physics 2025-03-05 Maicol A. Ochoa , Keyi Liu , Piotr Różański , Michał Zieliński , Garnett W. Bryant

We develop a multi-reference perturbation theory for electronic structure calculations based on symmetries of the Hamiltonian. The reference Hamiltonian in the symmetry-based perturbation theory (SBPT) is chosen such that it possesses more…

Quantum Physics · Physics 2026-03-10 Hiromichi Nishimura , Nam Nguyen , Tanvi Gujarati , Mario Motta

This chapter concerns with the recent development of a new DFT methodology for accurate, reliable prediction of many-electron systems. Background, need for such a scheme, major difficulties encountered, as well as their potential remedies…

Chemical Physics · Physics 2019-04-19 Amlan K. Roy

We develop a theoretical framework to describe quasiparticle resonance states within the Hartree-Fock-Bogoliubov (HFB) theory by integrating the complex-scaled Jost function method with the Autonne-Takagi factorization. The HFB completeness…

Nuclear Theory · Physics 2026-03-24 Kazuhito Mizuyama

We present a novel theory and implementation for computing coupled electronic and quantal nuclear subsystems on a single potential energy surface, moving beyond the standard Born-Oppenheimer (BO) separation of nuclei and electrons. We…

Chemical Physics · Physics 2021-11-15 Ziyong Chen , Jun Yang

Quantum harmonic oscillators, or qumodes, provide a promising and versatile framework for quantum computing. Unlike qubits, which are limited to two discrete levels, qumodes have an infinite-dimensional Hilbert space, making them…

A two-orbital two-electron diatomic model resembling LiH is used to investigate the differences between the exact L\"owdin-Shull and approximate Hartree-Fock-Bogoliubov and Baerends-Buijse density matrix functionals in the medium- to…

Chemical Physics · Physics 2020-09-09 Robert van Meer , Jeng-Da Chai

We use ab initio electronic-structure methods to investigate random-matrix theory (RMT) universality in molecular electronic structure. Using single-reference electronic structure methods, including Hartree-Fock, configuration-interaction…

Strongly Correlated Electrons · Physics 2026-02-26 Zhen Tao , Victor Galitski

We review our recently developed methods for large-scale electronic structure calculations, both in one-electron theory and many-electron theory. The method are based on the density matrix representation, together with the Wannier state…

Materials Science · Physics 2008-02-07 Takeo Fujiwara , Takeo Hoshi , Susumu Yamamoto

Quantum computing is increasingly offering concrete solutions toward the simulation of nuclear structure, with the potential to overcome the exponential scaling that limits classical diagonalization methods in large spaces. A particularly…

Nuclear Theory · Physics 2026-04-14 Emanuele Costa , Javier Menendez

The pairing anti-halo effect is a phenomenon that a pairing correlation suppresses a divergence of nuclear radius, which happens for single-particle states with orbital angular momenta of $l$ = 0 and 1 in the limit of vanishing binding…

Nuclear Theory · Physics 2017-03-08 K. Hagino , H. Sagawa

A conceptually appealing and computationally economical course-grained molecular-orbital (MO) theory for extended quasi-linear molecular heterostructures is presented. The formalism, which is based on a straightforward adaptation, by…

Mesoscale and Nanoscale Physics · Physics 2011-03-11 Julio C. Arce , Alejandro Perdomo-Ortiz , Martha L. Zambrano , Cesar A. Mujica-Martinez

An improved prescription for choosing a transformed harmonic oscillator (THO) basis for use in configuration-space Hartree-Fock-Bogoliubov (HFB) calculations is presented. The new HFB+THO framework that follows accurately reproduces the…

Nuclear Theory · Physics 2011-05-12 M. V. Stoitsov , J. Dobaczewski , W. Nazarewicz , S. Pittel , D. J. Dean

A C++ code for the solution of the relativistic Hartree-Bogoliubov theory in coordinate space is presented. The theory describes a nucleus as a relativistic system of baryons and mesons. The RHB model is applied in the self-consistent…

Nuclear Theory · Physics 2009-10-30 Wolfgang Poeschl , Dario Vretenar , Peter Ring

Gapless quasiparticles can exist in the Bogoliubov-de Gennes (BdG) Hamiltonians in the mean field description of superconductors (SCs), fermionic superfluids (SFs) and quantum spin liquids (QSLs). The mechanism of gapless quasiparticles in…

Strongly Correlated Electrons · Physics 2024-08-12 Arist Zhenyuan Yang , Zheng-Xin Liu

Quasiparticle calculations are performed to investigate the electronic band structures of various polymorphs of Hf and Zr oxides. The corrections with respect to density-functional-theory results are found to depend only weakly on the…

Materials Science · Physics 2015-05-14 Myrta Grüning , Riad Shaltaf , Gian-Marco Rignanese

Complex many-body systems, such as triaxial and reflection-asymmetric nuclei, weakly-bound halo states, cluster configurations, nuclear fragments produced in heavy-ion fusion reactions, cold Fermi gases, and pasta phases in neutron star…

Nuclear Theory · Physics 2015-06-22 Junchen Pei , George Fann , Robert Harrison , Witold Nazarewicz , Yue Shi , Scott Thornton

An efficient all-electron G$^0$W$^0$ method and a quasiparticle selfconsistent GW (QSGW) method for molecules are proposed in the molecular orbital space with the full random phase approximation. The convergence with basis set is examined.…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 San-Huang Ke

The cranked relativistic Hartree+Bogoliubov theory has been applied for a systematic study of the nuclei around 254No, the heaviest nuclei for which detailed spectroscopic data are available. The deformation, rotational response, pairing…

Nuclear Theory · Physics 2008-11-26 A. V. Afanasjev , T. L. Khoo , S. Frauendorf , G. A. Lalazissis , I. Ahmad

We have developed a new Hartree-Fock-Bogoliubov (HFB) code which has been specifically designed to study ground state properties of nuclei near the neutron and proton drip lines. The unique feature of our code is that it takes into account…

Nuclear Theory · Physics 2007-05-23 V. E. Oberacker , A. S. Umar , E. Teran
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