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Confined quantum systems involving $N$ identical interacting fermions are found in many areas of physics, including condensed matter, atomic, nuclear and chemical physics. In a previous series of papers, a manybody perturbation method that…

Quantum Physics · Physics 2015-06-18 D. K. Watson

We compute the statistical potential between two particles in the coherent state formalism on the deformed configuration space. The result obtained by using the coherent states having a further degree of freedom (proposed in \cite{rohwer})…

High Energy Physics - Theory · Physics 2015-06-03 Sunandan Gangopadhyay , Ram Narayan Deb , Frederik. G. Scholtz

We investigate multipartite entanglement in a non-interacting fermion gas, as a function of fermion separation, starting from the many particle fermion density matrix. We prove that all multiparticle entanglement can be built only out of…

Quantum Physics · Physics 2009-11-11 C. Lunkes , C. Brukner , V. Vedral

We show that the kinetic approach to statistical mechanics permits an elegant and efficient treatment of fractional exclusion statistics. By using the exclusion-inclusion principle recently proposed [Phys. Rev. E49, 5103 (1994)] as a…

High Energy Physics - Theory · Physics 2011-08-17 G. Kaniadakis , A. Lavagno , P. Quarati

We consider N fermions in a two-dimensional harmonic oscillator potential interacting with a very short-range repulsive pair-wise potential. The ground-state energy of this system is obtained by performing a Thomas-Fermi as well as a…

Condensed Matter · Physics 2007-05-23 M. K. Srivastava , R. K. Bhaduri , J. Law , M. V. N. Murthy

It is shown that the SU(3) symmetry of the fermion dynamical symmetry model is essentially preserved even for highly nondegenerate spherical single-particle energies. The breaking of SU(3) symmetry by single-particle energy terms for either…

Nuclear Theory · Physics 2008-11-26 Cheng-Li Wu , Da Hsuan Feng , Mike W. Guidry , Hsi-Tseng Chen , Xing-Wang Pan

Thermodynamics of ideal Fermi gas trapped in an external generic power law potential $U=\sum_{i=1} ^d c_i |\frac{x_i}{a_i}|^{n_i}$ are investigated systematically from the grand thermodynamic potential in $d$ dimensional space. These…

Quantum Gases · Physics 2016-04-18 Mir Mehedi Faruk , G. M. Bhuiyan

Recent experiments on imbalanced Fermi gases have raised interest in the physics of an impurity immersed in a Fermi sea, the so-called Fermi polaron. In this letter, a simple theory is devised to describe dilute Fermi-polaron ensembles…

Quantum Gases · Physics 2010-06-15 Christophe Mora , Frédéric Chevy

The Pauli exclusion principle is advocated for constructing the proton and neutron deep inelastic structure functions in terms of Fermi-Dirac distributions that we parametrize with very few parameters. It allows a fair description of the…

High Energy Physics - Phenomenology · Physics 2010-11-01 C. Bourrely , J. Soffer

Interacting spinning fermions with strong quasi-random disorder are analyzed via rigorous Renormalization Group (RG) methods combined with KAM techniques. The correlations are written in terms of an expansion whose convergence follows from…

Strongly Correlated Electrons · Physics 2017-08-02 Vieri Mastropietro

We consider a method of high-fidelity, spatially resolved position measurement of ultracold atoms in an optical lattice. We show that the atom-number distribution can be nondestructively determined at a spatial resolution beyond the…

Quantum Gases · Physics 2015-08-28 Yuto Ashida , Masahito Ueda

Typically visualized from an independent particle viewpoint, the Pauli principle's role in collective motion is analyzed leading to a reimagination of the microscopic dynamics underlying superfluidity/superconductivity and a…

Quantum Gases · Physics 2023-04-11 D. K. Watson

"What are the consequences ... that Fermi particles cannot get into the same state ... " R. P. Feynman wrote of the Pauli exclusion principle, "In fact, almost all the peculiarities of the material world hinge on this wonderful fact." In…

Quantum Physics · Physics 2020-04-17 Scott E. Smart , David I. Schuster , David A. Mazziotti

After a brief discussion of the concepts of fractional exchange and fractional exclusion statistics, we report partly analytical and partly numerical results on thermodynamic properties of assemblies of particles obeying fractional…

Strongly Correlated Electrons · Physics 2011-11-10 F. M. D. Pellegrino , G. G. N. Angilella , N. H. March , R. Pucci

We measure thermodynamic magnetization of a low-disordered, strongly correlated two-dimensional electron system in silicon. Pauli spin susceptibility is observed to grow critically at low electron densities - behavior that is characteristic…

Strongly Correlated Electrons · Physics 2007-05-23 S. V. Kravchenko , A. A. Shashkin , S. Anissimova , A. Venkatesan , M. R. Sakr , V. T. Dolgopolov , T. M. Klapwijk

A review of those forms of standard quantum mechanics that include the Pauli Exclusion Principle as it is applied to atomic species, (that is versions of quantum that are multi-electron and multi-orbital) shows they are not consistent with…

General Physics · Physics 2018-05-09 Jonathan Phillips

Based on the standard many-fermion field theory, the authors construct models describing ultracold fermions in a 1D optical lattices by implementing a mode expansion of the fermionic field operator where modes, in addition to space…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Francesco Massel , Vittorio Penna

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…

Quantum Physics · Physics 2022-11-30 Russell B. Thompson

We provide a detailed study of the properties of a few interacting spin $1/2$ fermions trapped in a one-dimensional harmonic oscillator potential. The interaction is assumed to be well represented by a contact delta potential. Numerical…

Quantum Gases · Physics 2025-04-23 Abel Rojo-Francàs , Artur Polls , Bruno Juliá-Díaz