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The best known manifestation of the Fermi-Dirac statistics is the Pauli exclusion principle: no two identical fermions can occupy the same one-particle state. This principle enforces high order correlations in systems of many identical…

A manifestation of the Pauli Exclusion Principle is observed when fermions are trapped in the ground state of a 2D harmonic oscillator trap at very low temperatures. This non-interaction of fermions results in the formation of Pauli…

统计力学 · 物理学 2022-03-15 Swarnava Mitra , Aditya Mishra

Recently observed Pauli crystals are structures formed by trapped ultracold atoms with the Fermi statistics. Interactions between these atoms are switched off, so their relative positions are determined by joined action of the trapping…

The Pauli exclusion principle is a fundamental law underpinning the structure of matter. Due to their anti-symmetric wave function, no two fermions can occupy the same quantum state. Here, we report on the direct observation of the Pauli…

Pauli crystals are unique geometric structures of non-interacting fermions, resembling crystals, that emerge solely from Fermi statistics and confinement. Unlike genuine quantum crystals that arise from interparticle interactions, Pauli…

Recently predicted and observed Pauli crystals are structures formed by trapped ultracold non-interacting particles obeying Fermi statistics. The relative positions of the particles are determined by the trapping potential and the Pauli…

量子物理 · 物理学 2021-11-24 Filip Gampel , Mariusz Gajda , Magdalena Załuska-Kotur , Jan Mostowski

All matter is made up of fermions -- one of the fundamental type of particles in nature. Fermions follow the Pauli exclusion principle, stating that two or more identical fermions cannot occupy the same quantum state. Antisymmetry of the…

量子物理 · 物理学 2023-07-26 Lucas Hackl , Dayang Li , Nika Akopian , Matthias Christandl

The s=1/2 Ising chain with uniform nearest-neighbor and next-nearest-neighbor coupling is used to construct a system of floating particles characterized by motifs of up to six consecutive local spins. The spin couplings cause the assembly…

统计力学 · 物理学 2012-04-27 Ping Lu , Dan Liu , Gerhard Müller , Michael Karbach

The s=3/2 Ising spin chain with uniform nearest-neighbor coupling, quadratic single-site potential, and magnetic field is shown to be equivalent to a system of 17 species of particles with internal structure. The same set of particles (with…

统计力学 · 物理学 2012-03-14 Dan Liu , Jared Vanasse , Gerhard Muller , Michael Karbach

The statistical properties of non-interacting bosons and fermions confined in trapping potentials are most easily obtained when the system may exchange energy and particles with a large reservoir (grand-canonical ensemble). There are…

数学物理 · 物理学 2007-05-23 Fabrice Philippe , Jacques Arnaud , Laurent Chusseau

This paper proposes groove-like potential structures for the observation of quantum information processing by trapped particles. As an illustration the effect of quantum statistics at a 50-50 beam splitter is investigated. For…

量子物理 · 物理学 2009-10-31 Erika Andersson , Marcia T. Fontenelle , Stig Stenholm

Polymer self-consistent field theory techniques are used to find radial electron densities and total binding energies for isolated atoms. Quantum particles are modelled as Gaussian threads with ring-polymer architecture in a four…

量子物理 · 物理学 2022-11-30 Russell B. Thompson

The Pauli exclusion principle in quantum mechanics has a profound influence on the structure of matter and on interactions between fermions. Almost 30 years ago it was predicted that the Pauli exclusion principle could lead to a suppression…

Dynamics of classical scattering in the system of fermions is studied. The model is based on the coherent state representation and the equations of motion for fermions are derived from the time-dependent variational principle. It is found…

chao-dyn · 物理学 2016-08-15 S. Drożdż , J. Okołowicz , M. Ploszajczak , E. Caurier , T. Srokowski

Fermions are the building blocks of matter, forming atoms and nuclei, complex materials and neutron stars. Our understanding of many-fermion systems is however limited, as classical computers are often insufficient to handle the intricate…

量子气体 · 物理学 2022-02-01 Thomas Hartke , Botond Oreg , Ningyuan Jia , Martin Zwierlein

It is shown that statistical mechanics is applicable to isolated quantum systems with finite numbers of particles, such as complex atoms, atomic clusters, or quantum dots in solids, where the residual two-body interaction is sufficiently…

统计力学 · 物理学 2016-08-31 V. V. Flambaum , A. A. Gribakina , G. F. Gribakin , I. V. Ponomarev

Using the Moshinsky model, we analyze the spatial correlation and the entanglement of the ground state across different bipartitions of a system composed by $N$ pairs of harmonically confined fermions of two different interacting species.…

量子物理 · 物理学 2025-05-27 M. D. Jiménez , W. J. Díaz , E. Cuestas , A. Valdés-Hernández , A. P. Majtey

We have studied quasi one-dimensional few-particle systems consisting of one to six ultracold fermionic atoms in two different spin states with attractive interactions. We probe the system by deforming the trapping potential and by…

量子气体 · 物理学 2015-10-08 G. Zürn , A. N. Wenz , S. Murmann , A. Bergschneider , T. Lompe , S. Jochim

We theoretically investigate equal-mass spin-balanced two-component Fermi gases in which pairs of atoms with opposite spins interact via a short-range isotropic model potential. We probe the distinction between two-dimensional and…

量子气体 · 物理学 2025-06-27 Emma K. Laird , Brendan C. Mulkerin , Jia Wang , Matthew J. Davis

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…

凝聚态物理 · 物理学 2009-10-31 G. Date , M. V. N. Murthy , Radhika Vathsan
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