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Closed form analytic expressions are derived for the density profile of a harmonically trapped noninteracting Fermi gas in $d$ dimensions. Shell structure effects are included to leading order in 1/N, where $N$ is the number of particles.…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Erich J. Mueller

We investigate a system of equally charged Coulomb-interacting particles confined to a toroidal helix in the presence of an external electric field. Due to the confinement, the particles experience an effective interaction that oscillates…

Classical Physics · Physics 2020-08-05 Ansgar Siemens , Peter Schmelcher

The microscopic properties of few interacting cold fermionic atoms confined in a two-dimensional (2D) harmonic trap are studied by numerical diagonalization. For repulsive interactions, a strong shell structure dominates, with Hund's rule…

Mesoscale and Nanoscale Physics · Physics 2009-02-10 M. Rontani , J. R. Armstrong , Y. Yu , S. Åberg , S. M. Reimann

Self-assembly of chiral particles with an L-shape is explored by Monte-Carlo computer simulations in two spatial dimensions. For sufficiently high packing densities in confinement, a carpet-like texture emerges due to the interlocking of…

Soft Condensed Matter · Physics 2023-05-10 Paul A. Monderkamp , Rika S. Windisch , René Wittmann , Hartmut Löwen

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

Fundamental theories and models of many-body physics can be probed in experiments on ultracold atoms held in place by electromagnetic fields. In particular, of considerable interest are systems under curved confinement, since they can yield…

Quantum Gases · Physics 2026-03-06 Fabio Cinti , Matteo Ciardi , Santi Prestipino , Giuseppe Pellicane

We develop a Green's function method to evaluate the exact equilibrium particle-density profiles of noninteracting Fermi gases in external harmonic confinement in any spatial dimension and for arbitrary trap anisotropy. While in a…

Statistical Mechanics · Physics 2009-11-07 Patrizia Vignolo , Anna Minguzzi

The inherent structure landscape for a system of hard spheres confined to a hard cylindrical channel, such that spheres can only contact their first and second neighbours, is studied using an analytical model that extends previous results…

Soft Condensed Matter · Physics 2021-12-15 Mahdi Zarif , Raymond J. Spiteri , Richard K. Bowles

Confinement can have a considerable effect on the behavior of particle systems, and is therefore an effective way to discover new phenomena. A notable example is a system of identical bosons at low temperature under an external field…

Quantum Gases · Physics 2024-01-10 Matteo Ciardi , Fabio Cinti , Giuseppe Pellicane , Santi Prestipino

Atoms under pressure undergo a series of processes and modification of its electronic structure. Examples are the spontaneous ionization, stabilization of excited-state configurations that result in a level-crossing with the ground state of…

Chemical Physics · Physics 2019-07-25 Andres Robles-Navarro , Patricio Fuentealba , Francisco Muños , Carlos Cardenas

The magnetic susceptibility of electrons confined to a spherical cavity or a circular billiard shows slow oscillations as a function of the number of electrons, which are a new manifestation of the Super Shell Structure found in the free…

Atomic and Molecular Clusters · Physics 2009-10-31 S. Frauendorf , V. M. Kolomietz , A. G. Magner , A. I. Sanzhur

We study a system of ultra-cold atoms possessing long range interaction (e.g. dipole-dipole interaction) in a one dimensional optical lattice in the presence of a confining harmonic trap. We have shown that for large enough on-site and…

Quantum Gases · Physics 2010-11-12 Tapan Mishra , Sunethra Ramanan , Ramesh V. Pai , Meetu Sethi Luthra , B. P. Das

The appearance of charged-particle clustering in near-threshold configuration is a phenomenon that can be explained in the Open Quantum System description of the atomic nucleus. In this work we apply the realistic Shell Model Embedded in…

Nuclear Theory · Physics 2019-05-22 J. Okołowicz , M. Płoszajczak , W. Nazarewicz

We study the structure of nucleon pairs within a simple model consisting of a square well in three dimensions and a delta-function residual interaction between two weakly-bound particles at the Fermi surface. We include the continuum by…

Nuclear Theory · Physics 2011-05-12 J. R. Bennett , J. Engel , S. Pittel

Studies of random close packing of spheres have advanced our knowledge about the structure of systems such as liquids, glasses, emulsions, granular media, and amorphous solids. When these systems are confined their structural properties…

Soft Condensed Matter · Physics 2009-12-17 Kenneth W. Desmond , Eric R. Weeks

It was recently shown in self-consistent Hartree-Fock calculations that a harmonically trapped dilute gas of fermionic atoms with a repulsive two-body interaction exhibits a pronounced {\it super-shell} structure: the shell fillings due to…

Other Condensed Matter · Physics 2009-11-11 M. Ogren , Y. Yu , S. Aberg , S. M. Reimann , M. Brack

The formation of correlated structures is of importance in many diverse contexts such as strongly coupled plasmas, soft matter, and even biological mediums. In all these contexts the dynamics are mainly governed by electrostatic…

Plasma Physics · Physics 2023-06-07 Mamta Yadav , Priya Deshwal , Srimanta Maity , Amita Das

We study systems of a few charged bosons contained within a strongly anisotropic harmonic trap. A detailed examination of the ground-state correlation properties of two-, three-, and four-particle systems is carried out within the framework…

Quantum Physics · Physics 2012-03-15 Przemyslaw Koscik , Anna Okopinska

Dynamics of strongly interacting Fermi gases, consisting of a 50-50 mixture of two different fermionic species, is investigated. For the equation of state we consider a Pad\'{e} [2/2] approximations, which gives the weak-coupling…

Other Condensed Matter · Physics 2007-05-23 Yeong E. Kim , Alexander L. Zubarev

Recent studies on confined crystals of charged colloidal particles are reviewed, both in equilibrium and out of equilibrium. We focus in particular on direct comparisons of experiments (light scattering and microscopy) with lattice sum…

Soft Condensed Matter · Physics 2015-06-17 A. Reinmüller , E. C. Oğuz , R. Messina , H. Löwen , H. J. Schöpe , T. Palberg