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We present a brief overview of microscopic nuclear structure approaches to nuclei with mass number from 100 to 132. The emphasis is on the shell model and theories for deriving effective interactions starting from the free interactions…

Nuclear Theory · Physics 2009-11-06 T. Engeland , M. Hjorth-Jensen , E. Osnes

Recently, a method was developed for implementing arbitrary short-range nucleon-nucleon correlations in Monte Carlo sampled nuclei (as well as deformations of the 1-body nuclear density). We use this method to implement realistic 2-body…

Nuclear Theory · Physics 2023-12-19 Matthew Luzum , João Paulo Picchetti , Mauricio Hippert , Jean-Yves Ollitrault

Strongly interacting many-body system of bosons exhibiting the quantum carpet pattern is investigated exactly by using Gaudin solutions. We show that this highly coherent design usually present in noninteracting, single-body scenarios gets…

Quantum Gases · Physics 2021-04-07 Maciej Łebek , Piotr T. Grochowski , Kazimierz Rzążewski

The path integral Monte Carlo method is used to simulate dilute trapped Bose gases and to investigate the equilibrium properties at finite temperatures. The quantum particles have a long-range dipole-dipole interaction and a short-range…

Statistical Mechanics · Physics 2009-11-11 Kwangsik Nho , D. P. Landau

We consider interacting one-dimensional bosons in the universal low-energy regime. The interactions consist of a combination of attractive and repulsive parts that can stabilize quantum gases, droplets and liquids. In particular, we study…

Quantum Gases · Physics 2021-03-31 Ivan Morera , Bruno Juliá-Díaz , Manuel Valiente

The quantum dynamics of a subset of interacting bosons in a subspace of fixed particle number is described in terms of symmetrized many-particle states. A suitable partial trace operation over the von Neumann equation of an $N$-particle…

Quantum Physics · Physics 2018-02-21 Manuel Gessner , Andreas Buchleitner

We consider one-dimensional tubes containing bosonic polar molecules. The long-range dipole-dipole interactions act both within a single tube and between different tubes. We consider arbitrary values of the externally aligned dipole moments…

Quantum Gases · Physics 2013-04-30 A. G. Volosniev , J. R. Armstrong , D. V. Fedorov , A. S. Jensen , M. Valiente , N. T. Zinner

We present an efficient numerical method for simulating the low-energy properties of disordered many-particle systems. The method which is based on the quantum-chemical configuration interaction approach consists in diagonalizing the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Thomas Vojta , Frank Epperlein , Michael Schreiber

We study numerically the impact of many-body interactions on the quantum boomerang effect. We consider various cases: weakly interacting bosons, the Tonks-Girardeau gas, and strongly interacting bosons (which may be mapped onto weakly…

Disordered Systems and Neural Networks · Physics 2023-10-30 Jakub Janarek , Jakub Zakrzewski , Dominique Delande

Effective interactions can be obtained from a renormalization group analysis in two complementary ways. One can either explicitly integrate out higher energy modes or impose given conditions at low energies for a cut-off theory. While the…

Nuclear Theory · Physics 2015-06-16 E. Ruiz Arriola , S. Szpigel , V. S. Timoteo

We establish a new geometric wave function that combined with a variational principle efficiently describes a system of bosons interacting in a one-dimensional trap. By means of a a combination of the exact wave function solution for…

Quantum Gases · Physics 2014-04-03 B. Wilson , A. Foerster , C. C. N. Kuhn , I. Roditi , D. Rubeni

We introduce a diagrammatic multi-scale approach to the Hubbard model based on the interaction-irreducible (multi-boson) vertex of a small cluster embedded in a self-consistent medium. The vertex captures short-ranged correlations up to the…

Strongly Correlated Electrons · Physics 2024-06-25 Dominik Kiese , Nils Wentzell , Igor Krivenko , Olivier Parcollet , Karsten Held , Friedrich Krien

Effective Hamiltonians and effective electroweak operators are calculated with the Okubo-Lee-Suzuki formalism for two-nucleon systems. Working within a harmonic oscillator basis, first without and then with a confining harmonic oscillator…

Nuclear Theory · Physics 2018-12-19 James P. Vary , Robert Basili , Weijie Du , Matthew Lockner , Pieter Maris , Soham Pal , Shiplu Sarker

We describe a method for deriving effective low-energy theories of electronic interactions at graphene edges. Our method is applicable to general edges of honeycomb lattices (zigzag, chiral, and even disordered) as long as localized…

Strongly Correlated Electrons · Physics 2013-07-22 Manuel J. Schmidt , Michael Golor , Thomas C. Lang , Stefan Wessel

This paper addresses the challenges of solving the quantum many-body problem, particularly within nuclear physics, through the configuration interaction (CI) method. Large-scale shell model calculations often become computationally…

Nuclear Theory · Physics 2025-07-17 Priyanka Choudhary , Chong Qi

Operational probes of the interface between quantum mechanics and general relativity in the Newtonian regime -- via mass-energy equivalence in clocks or spatial superpositions in interferometers -- share a common description in terms of an…

Quantum Physics · Physics 2026-02-27 Youssef Trifa , Dario Cafasso , Marco Fattori , Luca Pezzè

We present a construction of an improved two-mode model for modeling the dynamics of interacting ultra-cold bosons confined in a one-dimensional double well trap. Unlike in the typically used two-mode model based on the lowest…

Quantum Gases · Physics 2017-12-29 Jacek Dobrzyniecki , Tomasz Sowiński

We compute the pair entanglement between two interacting bosons in a two dimensional (2D)isotropic harmonic trap. The interaction potential is modeled by a 2D regularized pseudo-potential. By analytically decomposing the wave function into…

Quantum Physics · Physics 2009-10-12 B. Sun , M. Pindzola

We consider a finite number $N$ of interacting bosonic atoms at zero temperature confined in a one-dimensional double-well trap and study this system by using the two-site Bose-Hubbard (BH) Hamiltonian. For systems with $N=2$ and $N=3$, and…

Quantum Gases · Physics 2015-02-25 Mario Galante , Giovanni Mazzarella , Luca Salasnich

Trapped Bosons exhibit fundamental physical phenomena and are potentially useful for quantum technologies. We present a method for simulating Bosons using path integral molecular dynamics. A main challenge for simulations is including all…

Quantum Gases · Physics 2020-05-07 Barak Hirshberg , Valerio Rizzi , Michele Parrinello