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The many-body problem is usually approached from one of two perspectives: the first originates from an action and is based on Feynman diagrams, the second is centered around a Hamiltonian and deals with quantum states and operators. The…

Strongly Correlated Electrons · Physics 2021-10-15 Fabian B. Kugler , Seung-Sup B. Lee , Jan von Delft

Ab initio calculations have been carried out to study the magnetic dipole and electric quadrupole hyperfine structure constants of $^{205}$Pb$^+$. Many-body effects have been considered to all orders using the relativistic coupled-cluster…

Atomic Physics · Physics 2015-06-26 Sonjoy Majumder , B. K. Sahoo , R. K. Chaudhuri , B. P. Das , D. Mukherjee

The many-body dynamics of interacting electrons in condensed matter and quantum chemistry is often studied at the quasiparticle level, where the perturbative diagrammatic series is partially resummed. Based on Hedin's equations for…

Strongly Correlated Electrons · Physics 2009-11-11 Luca Guido Molinari , Nicola Manini

This review aims at a critical discussion of the interplay between effective interactions derived from various many-body approaches and spectroscopic data extracted from large scale shell-model studies. To achieve this, our many-body scheme…

Nuclear Theory · Physics 2009-11-10 D. J. Dean , T. Engeland , M. Hjorth-Jensen , M. Kartamychev , E. Osnes

This work addresses the optimal control of multibody systems being actuated with control forces in order to find a dynamically feasible minimum-energy trajectory of the system. The optimal control problem and its constraints are integrated…

Computational Engineering, Finance, and Science · Computer Science 2016-04-25 Carlos Leandro , Jorge Ambrósio

Recent developments of experimental techniques in the field of ultra-cold gases open a path to study the crossover from 'few' to 'many' on the quantum level. In this case, accurate description of inter-particle correlations is very…

Quantum Gases · Physics 2018-03-23 Marcin Płodzień , Dariusz Wiater , Andrzej Chrostowski , Tomasz Sowiński

We present the complete phase diagram for one-dimensional binary mixtures of bosonic ultracold atomic gases in a harmonic trap. We obtain exact results with direct numerical diagonalization for small number of atoms, which permits us to…

It is shown that the method of lowest order contrained variational (LOCV) which is based on the cluster expansion theory is a reliable many-body technique to calculate the nuclear matter equation of states. In this respect the…

Nuclear Theory · Physics 2007-05-23 H. R. Moshfegh , M. Modarres

The many-body polarization energy is the major source of non-additivity in strongly polar systems such as water. This non-additivity is often considerable and must be included, if only in an average manner, to correctly describe the…

Chemical Physics · Physics 2019-08-14 Rory A. J. Gilmore , Martin T. Dove , Alston J. Misquitta

We consider a binary system of small and large objects in the continuous space interacting via a non-negative potential. By integrating over the small objects, the effective interaction between the large ones becomes multi-body. We prove…

Mathematical Physics · Physics 2020-02-19 Sabine Jansen , Dimitrios Tsagkarogiannis

In this paper, we introduce a novel approach to solve the many-body Schrodinger equation by the tensor neural network. Based on the tensor product structure, we can do the direct numerical integration by using fixed quadrature points for…

Computational Physics · Physics 2025-02-27 Yangfei Liao , Zhongshuo Lin , Jianghao Liu , Qingyuan Sun , Yifan Wang , Teng Wu , Hehu Xie , Mingfeng He

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

A common situation in quantum many-body physics is that the underlying theories are known but too complicated to solve efficiently. In such cases one usually builds simpler effective theories as low-energy or large-scale alternatives to the…

Quantum Physics · Physics 2023-09-07 Yongdan Yang , Zongkang Zhang , Xiaosi Xu , Bing-Nan Lu , Ying Li

We demonstrate a simple method by which time-dependent interactions can be exploited to improve self-assembly in colloidal systems. We apply this method to two systems: a model colloid with short-ranged attractive potentials that undergoes…

Soft Condensed Matter · Physics 2017-09-13 Christopher J. Fullerton , Robert L. Jack

We study many-body correlations in the ground states of a general quantum system of bosons or fermions by including an additional Jastrow function in our ecently proposed variational coupled-cluster method. Our approach combines the…

Strongly Correlated Electrons · Physics 2009-11-13 Y. Xian

We calculate the two, three, four, and five-body (state independent) effective potentials between the centers of mass (CM) of self avoiding walk polymers by Monte-Carlo simulations. For full overlap, these coarse-grained n-body interactions…

Soft Condensed Matter · Physics 2009-11-07 P. G. Bolhuis , A. A. Louis , J. P. Hansen

Nuclear cluster physics implicitly assumes a distinction between groups of degrees-of-freedom, that is the (frozen) intrinsic and (explicitly treated) relative cluster motion. We formulate a realistic and practical method to describe the…

Nuclear Theory · Physics 2017-02-23 D. Hove , E. Garrido , A. S. Jensen , P. Sarriguren , H. O. U. Fynbo , D. V. Fedorov , N. T. Zinner

We demonstrate the accuracy of ground-state energies of the transcorrelated Hamiltonian, employing sophisticated Jastrow factors obtained from variational Monte Carlo, together with the coupled cluster and distinguishable cluster methods at…

We extend the self-consistent Green's functions formalism to take into account three-body interactions. We analyze the perturbative expansion in terms of Feynman diagrams and define effective one- and two-body interactions, which allows for…

Nuclear Theory · Physics 2013-12-03 Arianna Carbone , Andrea Cipollone , Carlo Barbieri , Arnau Rios , Artur Polls

High-energy nuclear collisions have opened a new experimental method to reveal collective behavior in nuclear ground states through the lens of many-body correlations of nucleons. Using ab initio lattice and variational calculations of…

Nuclear Theory · Physics 2025-12-23 Jean-Paul Blaizot , Giuliano Giacalone , Alessandro Lovato