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Optical traps and lattices provide a new opportunity to study strongly correlated high spin systems with cold atoms. In this article, we review the recent progress on the hidden symmetry properties in the simplest high spin fermionic…

Strongly Correlated Electrons · Physics 2007-05-23 Congjun Wu

Interacting Fermi systems in the strongly correlated regime play a fundamental role in many areas of physics and are of particular interest to the condensed matter community. Though weakly inter- acting fermions are understood, strongly…

Quantum Gases · Physics 2016-07-27 Brendan C. Mulkerin , Xia-Ji Liu , Hui Hu

We report on the creation of homogeneous Fermi gases of ultracold atoms in a uniform potential. In the momentum distribution of a spin-polarized gas, we observe the emergence of the Fermi surface and the saturated occupation of one particle…

A degenerate Fermi gas is rapidly quenched into the regime of strong effective repulsion near a Feshbach resonance. The spin fluctuations are monitored using speckle imaging and, contrary to several theoretical predictions, the samples…

We conduct a theoretical study of SU(N) fermions confined by a one-dimensional harmonic potential. Firstly, we introduce a new numerical approach for solving the trapped interacting few-body problem, by which one may obtain accurate energy…

Quantum Gases · Physics 2018-05-02 E. K. Laird , Z. -Y. Shi , M. M. Parish , J. Levinsen

We study a simple model of N-component fermions with contact interactions which describes fermionic atoms with N=2F+1 hyperfine states loaded into a one-dimensional optical lattice. We show by means of analytical and numerical approaches…

Strongly Correlated Electrons · Physics 2011-10-13 S. Capponi , G. Roux , P. Lecheminant , P. Azaria , E. Boulat , S. R. White

We numerically study imbalanced two component Fermi gases with attractive interactions in highly elongated harmonic traps. An accurate parametrization formula for the ground state energy is presented for a spin-polarized attractive…

Strongly Correlated Electrons · Physics 2008-03-20 Gao Xianlong , Reza Asgari

We study equilibrium properties of a cold two-component Fermi gas confined in a quasi-one-dimensional trap of the transverse size $l_{\perp}$. In the dilute limit ($nl_{\perp}\ll 1$, where $n$ is the 1D density) the problem is exactly…

Other Condensed Matter · Physics 2009-11-10 I. V. Tokatly

We consider a mixture of two-component Fermi gases at low temperature. The density profile of this degenerate Fermi gas is calculated under the semiclassical approximation. The results show that the fermion-fermion interactions make a large…

Quantum Physics · Physics 2009-11-10 X. X. Yi , H. J. Wang , H. T. Cui , C. M. Zhang

The study of ultracold atomic Fermi gases is a rapidly exploding subject which is defining new directions in condensed matter and atomic physics. Quite generally what makes these gases so important is their remarkable tunability and…

Quantum Gases · Physics 2012-02-13 K. Levin , Randall G. Hulet

We consider a two-component ideal Fermi gas in an isotropic harmonic potential. Some eigenstates have a wavefunction that vanishes when two distinguishable fermions are at the same location, and would be unaffected by s-wave contact…

Quantum Gases · Physics 2024-10-10 Shimpei Endo , Yvan Castin

The dynamics of an interacting Fermi gas of atoms at sufficiently high temperatures can be efficiently studied via a numerical simulation of the Boltzmann equation. In this work we describe in detail the setup we used recently to study the…

Quantum Gases · Physics 2012-07-19 Olga Goulko , Frédéric Chevy , Carlos Lobo

We demonstrate that a kind of highly excited state of strongly attractive Hubbard model, named of Fermi super-Tonks-Girardeau state, can be realized in the spin-1/2 Fermi optical lattice system by a sudden switch of interaction from the…

Quantum Gases · Physics 2012-12-04 Li Wang , Zhihao Xu , Shu Chen

We extend the exact periodic Bethe Ansatz solution for one-dimensional bosons and fermions with delta-interaction and arbitrary internal degrees of freedom to the case of hard wall boundary conditions. We give an analysis of the ground…

Statistical Mechanics · Physics 2007-05-23 N. Oelkers , M. T. Batchelor , M. Bortz , X. W. Guan

The fermionization regime and entanglement correlations of two distinguishable harmonically confined fermions interacting via a zero-range potential is addressed. We present two alternative representations of the ground state that we…

Quantum Physics · Physics 2021-08-25 Eloisa Cuestas , Martín D. Jiménez , Ana P. Majtey

Phase diagram of microcanonical ensembles of self-attracting particles is studied for two types of short-range potential regularizations: self-gravitating fermions and classical particles interacting via attractive soft…

Statistical Mechanics · Physics 2009-11-07 P. H. Chavanis , I. Ispolatov

We present a simple implementation of a density-dependent, zero-range interactions in a degenerate Fermi gas described in hyperspherical coordinates. The method produces a 1D effective potential which accurately describes the ground state…

Atomic Physics · Physics 2007-05-23 Seth T. Rittenhouse , Chris H. Greene

We study the ground-state properties of spin-1/2 fermionic atoms confined in a one-dimensional optical superlattice with harmonic confinement by using the density matrix renormalization group method. For this purpose, we consider an ionic…

Statistical Mechanics · Physics 2015-06-25 Takanori Yamashita , Norio Kawakami , Makoto Yamashita

The pairing and superfluid phenomena in a two-component Fermi gas can be strongly affected by the population and mass imbalances. Here we present phase diagrams of atomic Fermi gases as they undergo BCS--Bose-Einstein condensation (BEC)…

Quantum Gases · Physics 2014-04-24 Jibiao Wang , Hao Guo , Qijin Chen

We propose phase diagrams for an imbalanced (unequal number of atoms or Fermi surface in two pairing hyperfine states) gas of atomic fermions near a broad Feshbach resonance using mean field theory. Particularly, in the plane of interaction…

Strongly Correlated Electrons · Physics 2007-05-23 Hui Hu , Xia-Ji Liu
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