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Advancing quantum technologies requires precise and robust coherent control of quantum systems. Robust higher-order Hamiltonian engineering is essential for high-precision control and for accessing effective dynamics absent at zeroth order.…

Quantum Physics · Physics 2026-03-13 Jiahui Chen , David Cory

The Hartree-Fock based diagonalization is a computational method for the investigation of the low-energy properties of correlated electrons in disordered solids. The method is related to the quantum-chemical configuration interaction…

Disordered Systems and Neural Networks · Physics 2007-05-23 Michael Schreiber , Thomas Vojta

We present the results of the application of a nuclear potential consisting of two- and three-nucleon contact interactions in nuclear structure investigations. The nuclear Hamiltonian has been derived for a very low-energy regime within the…

Nuclear Theory · Physics 2025-11-25 Songlin Lyu , Francesco Amodio , Giovanni De Gregorio , Nunzio Itaco , Luigi Coraggio

The symmetry-projected Hartree--Fock ansatz for the electronic structure problem can efficiently account for static correlation in molecules, yet it is often unable to describe dynamic correlation in a balanced manner. Here, we consider a…

Strongly Correlated Electrons · Physics 2015-06-17 Carlos A. Jiménez-Hoyos , R. Rodríguez-Guzmán , Gustavo E. Scuseria

Accurately describing strong electron correlation in complex systems remains a prominent challenge in computational chemistry as near-term quantum algorithms treating total correlation often require prohibitively deep circuits. Here we…

Computational Engineering, Finance, and Science · Computer Science 2026-04-21 Zhanou Liu , Yuhao Chen , Yingjin Ma , Xiao He , Yuxin Deng

We propose a novel quantum Monte Carlo method in configuration space, which stochastically samples the contribution from a large secondary space to the effective Hamiltonian in the energy dependent partitioning of L\"owdin. The method…

Chemical Physics · Physics 2015-06-15 Seiichiro Ten-no

We show a procedure for engineering effective interactions between two modes in a bimodal cavity. Our system consists of one or more two-level atoms, excited by a classical field, interacting with both modes. The two effective Hamiltonians…

Quantum Physics · Physics 2011-11-22 F. O. Prado , F. S. Luiz , J. M. Villas-Bôas , A. M. Alcalde , E. I. Duzzioni , L. Sanz

In this manuscript, we provide an overview of the recent developments of the coupled cluster (CC) downfolding methods, where the ground-state problem of a quantum system is represented through effective/downfolded Hamiltonians defined using…

Quantum Physics · Physics 2023-03-02 Nicholas P. Bauman , Bo Peng , Karol Kowalski

We introduce a generic and accessible implementation of an exact diagonalization method for studying few-fermion models. Our aim is to provide a testbed for the newcomers to the field as well as a stepping stone for trying out novel…

Quantum Gases · Physics 2023-05-01 Lukas Rammelmüller , David Huber , Artem G. Volosniev

An approximate relativistic two-component Hamiltonian for use in molecular electronic structure calculations is derived in the form of a sum of fixed atom-centered kinetic and spin-orbit operators added to the non-relativistic Hamiltonian.…

Chemical Physics · Physics 2019-02-13 Dimitri N. Laikov

High-precision atomic structure calculations require accurate modelling of electronic correlations typically addressed via the configuration interaction (CI) problem on a multiconfiguration wave function expansion. The latter can easily…

Atomic Physics · Physics 2023-06-22 Pavlo Bilous , Adriana Pálffy , Florian Marquardt

Quantum-chemical multi-configurational methods are required for a proper description of static electron correlation, a phenomenon inherent to the electronic structure of molecules with multiple (near-)degenerate frontier orbitals. Here, we…

Chemical Physics · Physics 2017-04-21 Christopher J. Stein , Markus Reiher

We investigate an effective model for organometallic complexes (with potential uses in optoelectronic devices) via both exact diagonalisation and the configuration interaction singles (CIS) approximation. This model captures a number of…

Strongly Correlated Electrons · Physics 2011-10-17 A. C. Jacko , B. J. Powell

In this paper, we present a physically informed neural network representation of the effective interactions associated with coupled-cluster downfolding models to describe chemical systems and processes. The neural network representation not…

Quantum Physics · Physics 2025-01-28 Senwei Liang , Karol Kowalski , Chao Yang , Nicholas P. Bauman

This work develops and illustrates a new method of calculating "chemically accurate" electronic wavefunctions (and energies) via a truncated full configuration interaction (CI) procedure which arguably circumvents the large matrix…

Chemical Physics · Physics 2022-12-21 Stephen J. Cotton

Many areas of chemistry are devoted to the challenge of understanding, predicting, and controlling the behavior of strongly localized electrons. Examples include molecular magnetism and luminescence, color centers in crystals,…

Chemical Physics · Physics 2022-09-08 R. Matthias Geilhufe , Jeffrey D. Rinehart

We present an efficient approach to the electron correlation problem that is well-suited for strongly interacting many-body systems, but requires only mean-field-like computational cost. %which is based on orbital optimization of electron…

Strongly Correlated Electrons · Physics 2014-08-05 Katharina Boguslawski , Paweł Tecmer , Paul W. Ayers , Patrick Bultinck , Stijn De Baerdemacker , Dimitri Van Neck

An accurate description of electron correlation is one of the most challenging problems in quantum chemistry. The exact electron correlation can be obtained by means of full configuration interaction (FCI). A simple strategy for…

Chemical Physics · Physics 2021-05-14 Jae Woo Park

In computational chemistry of molecular materials, strong static correlation effects appear when electronic states, often involving the ground state, become quasi-degenerate, as occurs, for example, in bond-breaking processes. Such…

Chemical Physics · Physics 2026-03-20 Braden M. Weight , Zheng Pei , Sergei Tretiak

In this paper we outline the extension of recently introduced the sub-system embedding sub-algebras coupled cluster (SES-CC) formalism to the unitary CC formalism. In analogy to the standard single-reference SES-CC formalism, its unitary CC…