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We study normal state properties of an interacting Fermi gas in an isotropic harmonic trap of arbitrary dimensions. We exactly calculate the first-order perturbation terms in the ground state energy and chemical potential, and obtain simple…

统计力学 · 物理学 2009-11-07 Hiroyuki Yoshimoto , Susumu Kurihara

We propose a very accurate and efficient variational scheme for the ground state of the system of $p$-wave attractively interacting fermions confined in a one-dimensional harmonic trap. By the construction, the method takes the…

量子气体 · 物理学 2020-09-21 Przemysław Kościk , Tomasz Sowiński

It is known from the solution of the two-body problem that an anisotropic dipolar interaction can give rise to s-wave scattering resonances, which are named as dipolar interaction induced resonaces (DIIR). In this letter, we study…

量子气体 · 物理学 2013-01-28 Ran Qi , Zhe-Yu Shi , Hui Zhai

We study numerically the finite temperature and frequency mobility of a particle coupled by a local interaction to a system of spinless fermions in one dimension. We find that when the model is integrable (particle mass equal to the mass of…

凝聚态物理 · 物理学 2009-10-28 H. Castella , X. Zotos

Ultra-cold atomic systems provide a versatile platform for exploring quantum phenomena, offering tunable interactions and diverse trapping geometries. In this study, we investigate a one-dimensional system of trapped fermionic atoms using…

量子气体 · 物理学 2025-09-16 Francisco Figueiredo , Itzhak Roditi

We analyze a system of fermions in a one-dimensional harmonic trap with attractive delta-interactions between different fermions species, as an approximate description of experiments involving atomic dimers. We solve the problem of two…

量子气体 · 物理学 2023-01-11 Martín D. Jiménez , Eloisa Cuestas , Ana P. Majtey , Cecilia Cormick

The shell structures for weakly interacting fermions in harmonic oscillator traps at zero temperature undergo several transitions depending on the number of particles in the trap and their interaction strength. Calculations of the one and…

凝聚态物理 · 物理学 2011-07-19 Henning Heiselberg , Ben Mottelson

We consider multi-component quantum mixtures (bosonic, fermionic, or mixed) with strongly repulsive contact interactions in a one-dimensional harmonic trap. In the limit of infinitely strong repulsion and zero temperature, using the…

We reveal a quantum coherent state characterized by composite bosonic trions, wherein paired fermions further bind with bosons, in one-dimensional Bose-Fermi mixtures.This phase emerges in two separate models, both featuring onsite…

量子气体 · 物理学 2025-07-04 Qi Song , Jie Lou , Yan Chen

We review the current understanding of the uniform two-dimensional (2D) Fermi gas with short-range interactions. We first outline the basics of two-body scattering in 2D, including a discussion of how such a 2D system may be realized in…

量子气体 · 物理学 2015-10-21 Jesper Levinsen , Meera M. Parish

We predict the phase separations of two-dimensional Fermi gases with repulsive contact-type interactions between two spin components. Using density-potential functional theory with systematic semiclassical approximations, we address the…

We consider pairing in a three-component gas of degenerate fermions. In particular, we solve the finite temperature mean-field theory of an interacting gas for a system where both interaction strengths and fermion masses can be unequal. At…

超导电性 · 物理学 2009-11-11 T. Paananen , J. -P. Martikainen , P. Torma

We study equilibrium density and spin density profiles for a model of cold one-dimensional spin 1/2 fermions interacting via inverse square interaction and exchange in an external harmonic trap. This model is the well-known spin-Calogero…

量子气体 · 物理学 2011-02-01 M. Kulkarni , A. G. Abanov

The Fermi polaron refers to a system of free fermions interacting with an impurity particle by means of two-body contact forces. Motivated by the physicists' approach to this system, the present article develops a general mathematical…

数学物理 · 物理学 2019-04-26 Marcel Griesemer , Ulrich Linden

Interacting Fermi gases with spin-orbit coupling are responsible for many intriguing phenomena such as topological superfluids and Majorana fermions. Here we characterize theoretically fermionic pairing in a strongly interacting spin-orbit…

量子气体 · 物理学 2013-03-15 Hui Hu , Han Pu , Jing Zhang , Xia-Ji Liu

We investigate small equal-mass two-component Fermi gases under external spherically symmetric confinement in which atoms with opposite spins interact through a short-range two-body model potential. We employ a non-perturbative microscopic…

量子气体 · 物理学 2015-05-19 D. Blume , K. M. Daily

A generalization of symmetrized density matrices in combination with the technique of generating functions allows to calculate the partition function of identical particles in a parabolic confining well. Harmonic two-body interactions…

凝聚态物理 · 物理学 2009-10-28 F. Brosens , J. T. Devreese , L. F. Lemmens

Spatial and momentum correlations are important in the analysis of the quantum states and different phases of trapped ultracold atom systems as a function of the strength of interatomic interactions. Identification and understanding of…

量子气体 · 物理学 2017-12-08 Benedikt B. Brandt , Constantine Yannouleas , Uzi Landman

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…

凝聚态物理 · 物理学 2007-05-23 M. K. Srivastava , R. K. Bhaduri , J. Law , M. V. N. Murthy

Using Density Matrix renormalization group (DMRG), we study the ground state properties of spin one-half fermions and scalar bosons in the soft-core limit, with weak s-wave inter and intra species interactions. We considered the system…

量子气体 · 物理学 2021-04-30 J. Nisperuza , J. P. Rubio , R. Avella