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Cold-atom experiments which measure Fermi-gas properties near unitarity confine fermionic atoms to a region of space using trapping potentials of various shapes. The presence of a trapping potential introduces a new characteristic physical…

Quantum Gases · Physics 2026-05-29 Silas R. Beane , Adèle Le Borgne , Domenico Orlando , Susanne Reffert

Using exact continuous quantum Monte Carlo techniques, we study the zero and finite temperature properties of a system of harmonically trapped one dimensional spin 1/2 fermions with short range interactions. Motivated by experimental…

Other Condensed Matter · Physics 2009-11-13 Michele Casula , D. M. Ceperley , Erich J. Mueller

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 study the properties of spin-less non-interacting fermions trapped in a confining potential in one dimension but in the presence of one or more impurities which are modelled by delta function potentials. We use a method based on the…

Statistical Mechanics · Physics 2021-05-03 David S. Dean , Pierre Le Doussal , Satya N. Majumdar , Gregory Schehr

Exact and closed-form expressions of the particle density, the kinetic energy density, the probability current density, and the momentum distribution are derived for a coherent state of a noninteracting Fermi gas, while such a state can be…

Mesoscale and Nanoscale Physics · Physics 2008-03-21 Dae-Yup Song

The dynamics of strongly interacting trapped dilute Fermi gases (dilute in the sense that the range of interatomic potential is small compared with inter-particle spacing) is investigated in a single-equation approach to the time-dependent…

Soft Condensed Matter · Physics 2009-02-05 Yeong E. Kim , Alexander L. Zubarev

We study ferromagnetism in a repulsively interacting two-component Fermi gas in a harmonic trap. Within a local density approximation, the two components phase-separate beyond a critical interaction strength, with one species having a…

Quantum Gases · Physics 2013-05-29 L. J. LeBlanc , J. H. Thywissen , A. A. Burkov , A. Paramekanti

We present a theory for the low-temperature properties of a resonantly interacting Fermi mixture in a trap, that goes beyond the local-density approximation. The theory corresponds essentially to a Landau-Ginzburg-like approach that…

Quantum Gases · Physics 2015-05-27 J. M. Diederix , H. T. C. Stoof

We consider an impurity immersed in a small Fermi gas under highly-elongated harmonic confinement. The impurity interacts with the atoms of the Fermi gas through an isotropic short-range potential with three-dimensional free-space s-wave…

Quantum Gases · Physics 2015-06-17 S. E. Gharashi , X. Y. Yin , D. Blume

The properties of a balanced two-component Fermi gas in a one-dimensional harmonic trap are studied by means of the coupled cluster method. For few fermions we recover the results of exact diagonalization, yet with this method we are able…

We explore a few-fermion mixture consisting of two components which are repulsively interacting and confined in a one-dimensional harmonic trap. Different scenarios of population imbalance ranging from the completely imbalanced case where…

Quantum Gases · Physics 2015-06-11 Ioannis Brouzos , Peter Schmelcher

We examine a dilute two-component atomic Fermi gas trapped in a harmonic potential in the superfluid phase. For experimentally realistic parameters, the trapping potential is shown to have crucial influence on various properties of the gas.…

Condensed Matter · Physics 2009-11-07 G. M. Bruun

A two-component four-fermion system with equal masses, interspecies s-wave scattering length a and vanishing intraspecies interactions under external spherically symmetric harmonic confinement is considered. Using a correlated Gaussian…

Quantum Gases · Physics 2015-05-14 D. Blume , K. M. Daily

We present spatially resolved radio-frequency spectroscopy of a trapped Fermi gas with resonant interactions and observe a spectral gap at low temperatures. The spatial distribution of the spectral response of the trapped gas is obtained…

Other Condensed Matter · Physics 2009-11-13 Y. Shin , C. H. Schunck , A. Schirotzek , W. Ketterle

Interacting Fermi gases with equal populations but unequal masses are investigated at zero temperature using local density approximation and the hydrodynamic theory of superfluids in the presence of harmonic trapping. We derive the…

Soft Condensed Matter · Physics 2009-11-13 G. Orso , L. P. Pitaevskii , S. Stringari

The properties of two-component Fermi gases with zero-range interactions are universal. We use an explicitly correlated Gaussian basis set expansion approach to investigate small equal-mass two-component Fermi gases under spherically…

Quantum Gases · Physics 2015-07-09 X. Y. Yin , D. Blume

We investigate the particle and kinetic energy densities of harmonically trapped fermion gases at zero temperature in arbitrary dimensions. We derive analytically a differential equation connecting these densities, which so far have been…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Matthias Brack , M. V. N. Murthy

We have analytically explored finite size and interparticle interaction corrections to the average energy of a harmonically trapped Fermi gas below and above the Fermi temperature, and have obtained a better fitting for the excess energy…

Quantum Gases · Physics 2012-08-30 Shyamal Biswas , Debnarayan Jana , Raj Kumar Manna

We report on the experimental realization of homogeneous two-dimensional (2D) Fermi gases trapped in a box potential. In contrast to harmonically trapped gases, these homogeneous 2D systems are ideally suited to probe local as well as…

Quantum Gases · Physics 2018-04-19 Klaus Hueck , Niclas Luick , Lennart Sobirey , Jonas Siegl , Thomas Lompe , Henning Moritz

We investigate the inhomogeneous unitary Fermi gas and use the long-wavelength properties to predict the energies of small clusters of unitary fermions trapped in harmonic potentials. The large pairing gap and scale invariance place severe…

Quantum Gases · Physics 2015-06-22 J. Carlson , S. Gandolfi