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Computational difficulties aside, nonequilibrium Green's functions appear ideally suited for investigating the dynamics of central nuclear reactions. Many particles actively participate in those reactions. At the two energy extremes for the…

Nuclear Theory · Physics 2018-05-17 Hossein Mahzoon , Pawel Danielewicz , Arnau Rios

We investigate an approach for studying the ground state of a quantum many-body Hamiltonian that is based on treating the correlation functions as variational parameters. In this approach, the challenge set by the exponentially-large…

Strongly Correlated Electrons · Physics 2020-01-22 Arbel Haim , Richard Kueng , Gil Refael

Studying the physics of quantum correlations has gained new interest after it has become possible to measure entanglement entropies of few body systems in experiments with ultracold atomic gases. Apart from investigating trapped atom…

Quantum Physics · Physics 2020-09-22 Arkadiusz Kuroś , Anna Okopińska

We report on a study of a classical, finite system of confined particles in two dimensions with a two-body repulsive interaction. We first develop a simple analytical method to obtain equilibrium configurations and energies for few…

Condensed Matter · Physics 2009-10-31 G. Date , M. V. N. Murthy , Radhika Vathsan

The quantum mechanical two-body problem with a central interaction on the sphere ${\bf S}^{n}$ is considered. Using recent results in representation theory an ordinary differential equation for some energy levels is found. For several…

Mathematical Physics · Physics 2007-05-23 Alexey V. Shchepetilov

The polarized dipolar Fermi gas shows exotic properties at low temperatures, characterized by an axially-deformed Fermi surface and anisotropic single-particle energy, due to the long-range and anisotropic nature of dipole-dipole…

Quantum Gases · Physics 2024-04-24 Eiji Nakano , Takahiko Miyakawa , Hiroyuki Yabu

We address the issue of determining an effective two-body interaction for mean-field calculations of energies of many-body systems. We show that the effective interaction is proportional to the phase shift, and demonstrate this result in…

Other Condensed Matter · Physics 2007-05-23 A. Collin , P. Massignan , C. J. Pethick

We derive a general effective many-body theory for bosonic polar molecules in strong interaction regime, which cannot be correctly described by previous theories within the first Born approximation. The effective Hamiltonian has additional…

Other Condensed Matter · Physics 2008-05-08 Daw-Wei Wang

We introduce \emph{contact interactions hamiltonians} (self-adjointoperators defined by boundary conditions) between $N$ massive particles in $R^3$, $N \geq 3$. We prove that they are limits (in strong resolvent sense) when $ \epsilon \to…

Mathematical Physics · Physics 2017-12-19 Gianfausto Dell'Antonio

Many-body chaos is a default property of many-body systems; at the same time, near-integrable behaviour due to weakly interacting quasiparticles is ubiquitous throughout condensed matter at low temperature. There must therefore be a,…

Statistical Mechanics · Physics 2026-01-09 Sibaram Ruidas , Sthitadhi Roy , Subhro Bhattacharjee , Roderich Moessner

In this work we introduce an extended version of the formalism proposed originally by Taurines et al. that considers the effects of many-body forces simulated by non-linear self-couplings and meson-meson interaction contributions. In this…

Solar and Stellar Astrophysics · Physics 2015-07-17 R. O. Gomes , V. Dexheimer , S. Schramm , C. A. Z. Vasconcellos

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

Here we present a many-body theory based on a solution of the $N$-representability problem in which the ground-state two-particle reduced density matrix (2-RDM) is determined directly without the many-particle wave function. We derive an…

Quantum Physics · Physics 2023-04-19 David A. Mazziotti

The challenging nuclear many-body problem is discussed along with classifications and qualitative descriptions of existing methods and models. We present detailed derivations of a new method where cluster correlations co-exist with an…

Nuclear Theory · Physics 2018-07-04 D. Hove , E. Garrido , P. Sarriguren , D. V. Fedorov , H. O. U. Fynbo , A. S. Jensen , N. T. Zinner

The quantum dynamics of correlated fermionic or bosonic many-body systems following external excitation can be successfully studied using nonequilibrium Green functions (NEGF) or reduced density matrix methods. Approximations are introduced…

Strongly Correlated Electrons · Physics 2023-12-27 Erik Schroedter , Björn Jakob Wurst , Jan-Philip Joost , Michael Bonitz

In this work we show results for light nuclear systems and small clusters of helium atoms using the hyperspherical harmonics basis. We use the basis without previous symmetrization or antisymmetrization of the state. After the…

Atomic and Molecular Clusters · Physics 2015-06-05 M. Gattobigio , A. Kievsky , M. Viviani

Few-body correlations emerging in two-dimensional harmonically trapped mixtures, are comprehensively investigated. The presence of the trap leads to the formation of atom-dimer and trap states, in addition to trimers. The Tan's contacts of…

Quantum Gases · Physics 2021-09-17 G. Bougas , S. I. Mistakidis , P. Giannakeas , P. Schmelcher

A strong effort will be dedicated in the coming years to extend the reach of ab initio nuclear-structure calculations to heavy doubly open-shell nuclei. In order to do so, the most efficient strategies to incorporate dominant many-body…

In this study we aim for quantifying the role of in-medium 3$\leftrightarrow$3 collisions for systems of fermions which initially are out-off equilibrium. The formulation of the 3-body dynamics is based on the equations of motion method for…

Nuclear Theory · Physics 2025-05-29 Wolfgang Cassing

We present a detailed analysis of the two-channel atom-molecule effective Hamiltonian for an ultracold two-component homogeneous Fermi gas interacting near a Feshbach resonance. We particularly focus on the two-body and many-body properties…

Other Condensed Matter · Physics 2014-11-17 G. M. Falco , H. T. C. Stoof