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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

We measure radio-frequency spectra for a two-component mixture of a $^6$Li atomic Fermi gas in the quasi-two-dimensional regime. Near the Feshbach resonance, where the transverse Fermi energy is large compared to the confinement-induced…

Quantum Gases · Physics 2012-06-28 Y. Zhang , W. Ong , I. Arakelyan , J. E. Thomas

We consider a trapped atomic system in the presence of spatially varying laser fields. The laser-atom interaction generates a pseudospin degree of freedom (referred to simply as spin) and leads to an effective spin-orbit coupling for the…

Other Condensed Matter · Physics 2007-12-18 Tudor D. Stanescu , Chuanwei Zhang , Victor Galitski

We consider a single spin-down impurity atom interacting via an attractive, short-range potential with a spin-up Fermi sea in two dimensions (2D). Similarly to 3D, we show how the impurity can form a metastable state (the "repulsive…

Quantum Gases · Physics 2012-05-11 V. Ngampruetikorn , J. Levinsen , Meera M. Parish

We study a two-component mixture of fermionic dipoles in two dimensions at zero temperature, interacting via a purely repulsive $1/r^3$ potential. This model can be realized with ultracold atoms or molecules, when their dipole moments are…

We discuss the ground state and the small-amplitude excitations of a degenerate vapour of fermionic atoms placed in two hyperfine states inside a spherical harmonic trap. An equations-of-motion approach is set up to discuss the hydrodynamic…

Statistical Mechanics · Physics 2009-10-31 M. Amoruso , I. Meccoli , A. Minguzzi , M. P. Tosi

We consider energetics and structural properties of a many particle system in one dimension with pairwise contact interactions confined in a parabolic external potential. To render the problem analytically solvable, we use the harmonic…

Quantum Gases · Physics 2012-12-20 J. R. Armstrong , N. T. Zinner , D. V. Fedorov , A. S. Jensen

We use a semiclassical approximation to investigate density variations and dipole oscillations of an interacting three-component normal Fermi gas in a harmonic trap. We consider both attractive and repulsive interactions between different…

Quantum Gases · Physics 2015-05-13 Theja N. De Silva

The supersolid phase of a dipolar Bose-Einstein condensate has an intriguing excitation spectrum displaying a band structure. Here, the dressing of an impurity in a one-dimensional dipolar supersolid with the excitations of the supersolid…

Quantum Gases · Physics 2025-03-03 Laurent H. A. Simons , Michiel Wouters , Jacques Tempere

We study the two-component repulsive Fermi gas with imbalanced populations in one dimension. Starting from the Bethe Ansatz solution we calculate analytically the phase diagram for the homogeneous system. We show that three phases appear:…

Strongly Correlated Electrons · Physics 2009-12-08 M. Colomé-Tatché

The paper examines a trapped one-dimensional system of multicomponent spinless fermions that interact with a zero-range two-body potential. We show that when the repulsion between particles is very large the system can be approached…

We derive rigorously the leading order of the correlation energy of a Fermi gas in a scaling regime of high density and weak interaction. The result verifies the prediction of the random-phase approximation. Our proof refines the method of…

Mathematical Physics · Physics 2021-10-06 Niels Benedikter , Phan Thành Nam , Marcello Porta , Benjamin Schlein , Robert Seiringer

Ground-state properties of a few attractively interacting ultra-cold atoms of different mass confined in a one-dimensional harmonic trap are studied in terms of the correlation noise. Depending on the mass ratio between the components'…

Quantum Gases · Physics 2019-04-15 Daniel Pęcak , Tomasz Sowiński

We develop a meanfield treatment of a polarized trapped Fermi gas with dipole-dipole interactions. Our approach is based on self-consistent semiclassical Hartree-Fock theory that accounts for direct and exchange interactions. We discuss our…

Quantum Gases · Physics 2010-09-16 D. Baillie , P. B. Blakie

We investigate the properties of a degenerate dilute gas of neutral fermionic particles in a harmonic trap that interact via dipole-dipole forces. We employ the semiclassical Thomas-Fermi method and discuss the Dirac correction to the…

Condensed Matter · Physics 2007-05-23 K. Goral , Berthold-Georg Englert , K. Rzazewski

We propose a new method for detecting paired states in either bosonic or fermionic systems using interference experiments with independent or weakly coupled low dimensional systems. We demonstrate that our method can be used to detect both…

Other Condensed Matter · Physics 2009-01-15 V. Gritsev , E. Demler , A. Polkovnikov

We investigate properties of spin-imbalanced ultracold Fermi gas in a large range of spin polarizations at low temperatures. We present results of microscopic calculations based on mean-field and density functional theory approaches, with…

Quantum Gases · Physics 2023-03-21 Buğra Tüzemen , Tomasz Zawiślak , Gabriel Wlazłowski , Piotr Magierski

We consider the behavior of a small density of mobile impurities (polarons) immersed in a quantum gas, a generic scenario that can be realized in cold atomic gases, liquid helium mixtures, and doped semiconductors. We present a unified…

Quantum Gases · Physics 2026-05-18 Jesper Levinsen , Francesca Maria Marchetti , Olivier Bleu , Meera M. Parish

We calculate the exact spectral function of a single impurity repulsively interacting with a bath of fermions in one-dimensional lattices, by deriving the explicit expression of the form factor for both regular Bethe states and the…

Quantum Gases · Physics 2025-04-22 Hui Hu , Jia Wang , Xia-Ji Liu

We study the ground-state properties of a two-component fermionic mixture effectively confined in a one-dimensional harmonic trap. We consider scenarios when numbers of particles in components are the same but particles have different…

Quantum Gases · Physics 2020-03-10 Patrycja Łydżba , Tomasz Sowiński