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Molecular dynamics models materials by simulating each individual particle's trajectory. Many-body potentials lead to a more accurate trajectory simulation, and are used in materials science and computational chemistry. We present…

Computational Engineering, Finance, and Science · Computer Science 2017-10-04 Markus Höhnerbach , Ahmed E. Ismail , Paolo Bientinesi

We present a translationally invariant formulation of the no-core shell model approach for few-nucleon systems. We discuss a general method of antisymmetrization of the harmonic-oscillator basis depending on Jacobi coordinates. The use of a…

Nuclear Theory · Physics 2008-11-26 P. Navratil , G. P. Kamuntavicius , B. R. Barrett

Due to the presence of strong correlations, theoretical or experimental investigations of quantum many-body systems belong to the most challenging tasks in modern physics. Stimulated by tensor networks, we propose a scheme of constructing…

Strongly Correlated Electrons · Physics 2017-10-17 Shi-Ju Ran , Angelo Piga , Cheng Peng , Gang Su , Maciej Lewenstein

Working in the framework of the ab-initio no-core shell model, we derive two-body effective interactions microscopically for specific harmonic-oscillator basis spaces from the realistic Argonne V8' nucleon-nucleon potential. However, our…

Nuclear Theory · Physics 2007-05-23 M. S. Fayache , J. P. Vary , B. R. Barrett , P. Navratil , S. Aroua

Efforts to describe nuclear structure and dynamics from first principles have advanced significantly in recent years. Exact methods for light nuclei are now able to include continuum degrees of freedom and treat structure and reactions on…

We apply the framework of non-equilibrium quantum thermodynamics to the physics of quenched small-sized bosonic quantum gases in a one-dimensional harmonic trap. We show that dynamical orthogonality can occur in these few-body systems with…

Accurate simulations of atomistic systems from first principles are limited by computational cost. In high-throughput settings, machine learning can reduce these costs significantly by accurately interpolating between reference…

Chemical Physics · Physics 2022-11-28 Haoyan Huo , Matthias Rupp

The ongoing progress in (nuclear) many-body theory is accompanied by an ever-rising increase in complexity of the underlying formalisms used to solve the stationary Schr\"odinger equation. The associated working equations at play in…

Nuclear Theory · Physics 2020-02-13 Alexander Tichai , Roland Wirth , Julien Ripoche , Thomas Duguet

Open quantum systems provide a conceptually simple setting for the exploration of collective behavior stemming from the competition between quantum effects, many-body interactions, and dissipative processes. They may display dynamics…

Statistical Mechanics · Physics 2023-04-14 Dominik Sulz , Christian Lubich , Gianluca Ceruti , Igor Lesanovsky , Federico Carollo

We explore a new class of computationally feasible approximations of the two-body density matrix as a finite sum of tensor products of single-particle operators. Physical symmetries then uniquely determine the two-body matrix in terms of…

Materials Science · Physics 2009-09-25 Gabor Csanyi , T. A. Arias

Some fundamental Nucleon-Nucleon interactions and their applications to finite nuclei are reviewed. Results for the few-body systems and from Shell-Model calculations are discussed and compared to point out the advantages and disadvantages…

Nuclear Theory · Physics 2015-06-26 X. W. Pan , T. T. S. Kuo , M. Vallieres , D. H. Feng

An extended Hamiltonian approach to conduct isothermal-isobaric molecular dynamics simulations with full cell flexibility is presented. The components of the metric tensor are used as the fictitious degrees of freedom for the cell, thus…

Chemical Physics · Physics 2009-11-07 E. Hernandez

Performing a shell model calculation for heavy nuclei has been a long-standing problem in nuclear physics. Here we propose one possible solution. The central idea of this proposal is to take the advantages of two existing models, the…

Nuclear Theory · Physics 2009-11-10 Yang Sun , Cheng-Li Wu

Modeling many-body quantum systems with strong interactions is one of the core challenges of modern physics. A range of methods has been developed to approach this task, each with its own idiosyncrasies, approximations, and realm of…

Statistical Mechanics · Physics 2018-11-21 Brett Larder , Dirk Gericke , Scott Richardson , Paul Mabey , Thomas White , Gianluca Gregori

A two-body interaction or force between quantum particles is ubiquitous in nature, and the microscopic description in terms of the bare two-body interaction is the basis for quantitatively describing interacting few- and many-body systems.…

Quantum Gases · Physics 2025-06-17 Kantaro Honda , Yosuke Takasu , Yuki Haruna , Yusuke Nishida , Yoshiro Takahashi

$N$-body simulations study the dynamics of $N$ particles under the influence of mutual long-distant forces such as gravity. In practice, $N$-body codes will violate Newton's third law if they use either an approximate Poisson solver or…

Instrumentation and Methods for Astrophysics · Physics 2018-01-01 Qirong Zhu

The Unitary Correlation Operator Method (UCOM) provides a means for nuclear structure calculations starting from realistic NN potentials. The dominant short-range central and tensor correlations are described explicitly by a unitary…

Nuclear Theory · Physics 2008-11-26 R. Roth , H. Hergert , N. Paar , P. Papakonstantinou

Correlations play a crucial role in the nuclear many-body problem. We give an overview of recent developments in nuclear structure theory aiming at the description of these interaction-induced correlations by unitary transformations. We…

Nuclear Theory · Physics 2010-06-08 Robert Roth , Thomas Neff , Hans Feldmeier

Entanglement is the crucial ingredient of quantum many-body physics, and characterizing and quantifying entanglement in closed system dynamics of quantum simulators is an outstanding challenge in today's era of intermediate scale quantum…

Quantum Physics · Physics 2021-08-31 Christian Kokail , Rick van Bijnen , Andreas Elben , Benoît Vermersch , Peter Zoller

We present an alternative approach to decompose non-negative tensors, called many-body approximation. Traditional decomposition methods assume low-rankness in the representation, resulting in difficulties in global optimization and target…

Machine Learning · Statistics 2023-10-31 Kazu Ghalamkari , Mahito Sugiyama , Yoshinobu Kawahara