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The mean field limit for systems of many fermions is naturally coupled with a semiclassical limit. This makes the analysis of the mean field regime much more involved, compared with bosonic systems. In this paper, we study the dynamics of…

Mathematical Physics · Physics 2015-06-15 Niels Benedikter , Marcello Porta , Benjamin Schlein

We present here a first application of the Fermionic Molecular Dynamics (FMD) approach to low-energy nuclear reactions, namely the $^3$He($\alpha$,$\gamma$)$^7$Be radiative capture reaction. We divide the Hilbert space into an external…

Nuclear Theory · Physics 2010-12-23 Thomas Neff , Hans Feldmeier , Karlheinz Langanke

The variational cluster approximation is used to study the ground-state properties and single-particle spectra of the three-component fermionic Hubbard model defined on the two-dimensional square lattice at half filling. First, we show that…

Strongly Correlated Electrons · Physics 2016-06-16 Takumi Hasunuma , Tatsuya Kaneko , Shohei Miyakoshi , Yukinori Ohta

The recently discovered coexistence of multifragmentation and residue production for the same total transverse energy of light charged particles can be well reproduced in numerical simulations of the heavy ion reactions. A detailed analysis…

Nuclear Theory · Physics 2008-11-26 A. Le Fevre , J. Aichelin

We present a novel scheme for nuclear structure calculations based on realistic nucleon-nucleon potentials. The essential ingredient is the explicit treatment of the dominant interaction-induced correlations by means of the Unitary…

Nuclear Theory · Physics 2009-11-10 R. Roth , T. Neff , H. Hergert , H. Feldmeier

In multifragmentation of hot nuclear matter, properties of fragments embedded in a soup of nucleonic gas and other fragments should be modified as compared with isolated nuclei. Such modifications are studied within a simple model where…

Nuclear Theory · Physics 2015-06-11 J. N. De , S. K. Samaddar , X. Viñas , M. Centelles , I. N. Mishustin , W. Greiner

The variational determination of the two-fermion reduced density matrix is described for harmonically trapped, ultracold few-fermion systems in one dimension with equal spin populations. This is accomplished by formulating the problem as a…

Quantum Gases · Physics 2022-11-11 Mitchell J. Knight , Harry M. Quiney , Andy M. Martin

The idea of Dark Matter (DM) with self interaction was invoked to resolve a number of discrepancies between the simulation based predictions by collisionless cold DM and the astrophysical observations on galactic and subgalactic scales.…

High Energy Physics - Phenomenology · Physics 2015-09-04 Kamakshya Prasad Modak

We examine distinct measures of fermionic entanglement in the exact ground state of a finite superconducting system. It is first shown that global measures such as the one-body entanglement entropy, which represents the minimum relative…

Quantum Physics · Physics 2018-06-20 M. Di Tullio , N. Gigena , R. Rossignoli

Recently, many experiments with cold atomic gases have been conducted from interest in the non-equilibrium dynamics of correlated quantum systems. Of these experiments, the mixing dynamics of fermion clusters motivates us to research…

Quantum Gases · Physics 2014-07-31 Jun'ichi Ozaki , Masaki Tezuka , Norio Kawakami

The dynamics of fermionic many-body systems is investigated in the framework of Boltzmann-Langevin (BL) stochastic one-body approaches. Within the recently introduced BLOB model, we examine the interplay between mean-field effects and…

Nuclear Theory · Physics 2017-11-27 P. Napolitani , M. Colonna

The ground-state properties of a few spin-1/2 fermions with different masses and interacting via short-range contact forces are studied within an exact diagonalization approach. It is shown that, depending on the shape of the external…

Quantum Gases · Physics 2016-10-21 Daniel Pęcak , Tomasz Sowiński

We employ monomer-resolved computer simulations of model dendrimer molecules, to examine the significance of many-body effects in concentrated solutions of the same. In particular, we measure the radial distribution functions and the…

Soft Condensed Matter · Physics 2007-05-23 I. O. Götze , C. N. Likos

A relativistic wave equation for bound states of two fermions with arbitrary masses which are exposed to a magnetic field is derived from quantum electrodynamics. The interaction kernels are based upon the generalized invariant M-matrices…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andrei G. Terekidi , Jurij W. Darewych , Marko Horbatsch

We study the entanglement spectra of many particle systems in states which are closely related to products of Slater determinants or products of permanents, or combinations of the two. Such states notably include the Laughlin and Jain…

Strongly Correlated Electrons · Physics 2015-06-16 Ivan D. Rodriguez , Simon C. Davenport , Steven H. Simon , J. K. Slingerland

In the transition from nuclear matter to finite nuclei, complex finite-size effects which characterise open systems arise, in relation with either the nuclear surface or the bulk. In addition, the non-equilibrium character of the process,…

Nuclear Theory · Physics 2022-03-28 P. Napolitani , H. Dinh Viet , M. Colonna

Basic problems of the semiclassical microscopic modelling of strongly interactingsystems are discussed within the framework of Quantum Molecular Dynamics (QMD). This model allows to study the influence of several types of nucleonic…

Nuclear Theory · Physics 2014-11-18 C. Hartnack , Rajeev K. Puri , J. Aichelin , J. Konopka , S. A. Bass , H. Stoecker , W. Greiner

Entanglement related properties work as nice fingerprint of the quantum many-body wave function. However, those of fermionic models are hard to evaluate in standard numerical methods because they suffer from finite size effects. We show…

Strongly Correlated Electrons · Physics 2020-11-04 Xavier Plat , Chisa Hotta

Using a fermionic renormalization group approach we analyse a model where the electrons diffusing on a quantum dot interact via Fermi-liquid interactions. Describing the single-particle states by Random Matrix Theory, we find that…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Ganpathy Murthy , Harsh Mathur

We develop a manifestly microscopic method to deal with strongly interacting nuclear systems that have different interactions in spin-singlet and spin-triplet states. In a first step we analyze variational wave functions that have been…

Nuclear Theory · Physics 2020-12-30 E. Krotscheck , J. Wang