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We derive coupled-cluster equations for three-body Hamiltonians. The equations for the one- and two-body cluster amplitudes are presented in a factorized form that leads to an efficient numerical implementation. We employ low-momentum two-…

Nuclear Theory · Physics 2008-11-26 G. Hagen , T. Papenbrock , D. J. Dean , A. Schwenk , A. Nogga , M. Wloch , P. Piecuch

Accurate solution of the many-electron problem including correlations remains intractable except for few-electron systems. Describing interacting electrons as a superposition of independent electron configurations results in an apparent…

Computational Physics · Physics 2024-02-20 J. C. Greer

We employ the closed-shell perturbed relativistic coupled-cluster (RCC) theory developed by us earlier [Phys. Rev. A {\bf 77}, 062516 (2008)] to evaluate the ground state static electric dipole polarizabilities (\alpha s) of several atomic…

Atomic Physics · Physics 2013-12-09 Yashpal Singh , B. K. Sahoo , B. P. Das

We present a coupled cluster and linear response theory to compute properties of many-electron systems at non-zero temperatures. For this purpose, we make use of the thermofield dynamics, which allows for a compact wavefunction…

Chemical Physics · Physics 2020-05-14 Gaurav Harsha , Thomas M. Henderson , Gustavo E. Scuseria

Multi-configurational electronic structure theory delivers the most versatile approximations to many-electron wavefunctions, flexible enough to deal with all sorts of transformations, ranging from electronic excitations, to open-shell…

Chemical Physics · Physics 2024-05-07 Kalman Szenes , Maximilian Moerchen , Paul Fischill , Markus Reiher

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

We introduce techniques for analysing the structure of quantum states of many-body localized (MBL) spin chains by identifying correlation clusters from pairwise correlations. These techniques proceed by interpreting pairwise correlations in…

Disordered Systems and Neural Networks · Physics 2022-02-16 Kévin Hémery , Frank Pollmann , Adam Smith

This work presents precise calculations of important electromagnetic transition amplitudes along with detail of their many-body correlations using relativistic coupled cluster method. Studies of hyperfine interaction constants, useful for…

Atomic Physics · Physics 2017-08-30 Anal Bhowmik , Sourav Roy , Narendra Nath Dutta , Sonjoy Majumder

We leverage the Keldysh formalism to extend our implementation of finite temperature coupled cluster theory [\textit{J. Chem. Theory Comput.} 2018, \textit{14}, 5690-5700] to thermal systems that have been driven out of equilibrium. The…

Statistical Mechanics · Physics 2019-07-29 Alec F. White , Garnet Kin-Lic Chan

The elemental composition and electronic structure of materials analyzed by electron energy loss spectroscopy (EELS) are probed by the inner-shell ionization of atoms. This is a localized process that can be approximated by the scattering…

Atomic Physics · Physics 2026-02-06 Ioannis Iatrakis , Valerii Brudanin

We present a cluster-based density-functional approach to model charge transport through molecular and atomic contacts. The electronic structure of the contacts is determined in the framework of density functional theory, and the parameters…

Mesoscale and Nanoscale Physics · Physics 2008-12-04 F. Pauly , J. K. Viljas , U. Huniar , M. Hafner , S. Wohlthat , M. Burkle , J. C. Cuevas , G. Schon

New ways to treat electron correlation in electronic structure problems are discussed in the context of many-electron theory. The present work focuses primarily on static correlation. In related work, a method for including dynamical…

Chemical Physics · Physics 2018-09-05 Jerry L. Whitten

The competition between interactions and dissipative processes in a quantum many-body system can drive phase transitions of different order. Exploiting a combination of cluster methods and quantum trajectories, we show how the systematic…

Statistical Mechanics · Physics 2018-12-19 Jiasen Jin , Alberto Biella , Oscar Viyuela , Cristiano Ciuti , Rosario Fazio , Davide Rossini

A self-energy-functional approach is applied to construct cluster approximations for correlated lattice models. It turns out that the cluster-perturbation theory (Senechal et al, PRL 84, 522 (2000)) and the cellular dynamical mean-field…

Strongly Correlated Electrons · Physics 2007-05-23 M. Potthoff , M. Aichhorn , C. Dahnken

A systematic QED treatment of electron correlation is presented for ions along the lithium isoelectronic sequence. We start with the zeroth-order approximation that accounts for a part of the electron-electron interaction by a local model…

Atomic Physics · Physics 2009-11-13 V. A. Yerokhin , A. N. Artemyev , V. M. Shabaev

We show that short-range correlations have a dramatic impact on the steady-state phase diagram of quantum driven-dissipative systems. This effect, never observed in equilibrium, follows from the fact that ordering in the steady state is of…

Statistical Mechanics · Physics 2016-07-29 Jiasen Jin , Alberto Biella , Oscar Viyuela , Leonardo Mazza , Jonathan Keeling , Rosario Fazio , Davide Rossini

We have applied relativistic coupled-cluster (RCC) theory to determine the isotope shift (IS) constants of the first eight low-lying states of the Li, Be$^+$ and Ar$^{15+}$ isoelectronic systems. Though the RCC theory with singles, doubles…

Nuclear Theory · Physics 2021-05-28 B. K. Sahoo , B. Ohayon

We present a novel approach to spin-adapted coupled cluster theory. This approach is based on the entanglement of an open-shell molecule with electrons in a non-interacting bath; together they form a closed-shell state. For the total…

Chemical Physics · Physics 2023-05-22 Sarai Dery Folkestad , Bendik Støa Sannes , Henrik Koch

Electron-electron correlation forms the basis of difficulties encountered in many-body physics. Accurate treatment of the correlation problem is likely to unravel some nice physical properties of matter embedded in the correlation. In an…

Atomic Physics · Physics 2021-03-17 E. Jobunga

Based on a functional-integral formalism, a generalization of the self-energy-functional theory (SFT) is proposed which is applicable to systems of interacting electrons with disorder. Similar to the pure case without disorder, a…

Strongly Correlated Electrons · Physics 2013-05-29 Michael Potthoff , Matthias Balzer