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A many-body system of fermion atoms with a model interaction characterized by the scattering length $a$ is considered. We treat both $a$ and the density as parameters assuming that the system can be created artificially in a trap. If $a$ is…

Statistical Mechanics · Physics 2009-11-07 M. Ya. Amusia , A. Z. Msezane , V. R. Shaginyan

An exactly solvable model of two-component interacting Fermi vapour in two dimension within Thomas Fermi approach has been proposed. We assume a realistic off-diagonal s-wave interaction between fermions in the two hyperfine states. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Sankalpa Ghosh , M. V. N. Murthy , Subhasis Sinha

We simulate a balanced attractively interacting two-component Fermi gas in a one-dimensional lattice perturbed with a moving potential well or barrier. Using the time-evolving block decimation method, we study different velocities of the…

Quantum Gases · Physics 2015-11-20 A. -M. Visuri , D. -H. Kim , J. J. Kinnunen , F. Massel , P. Törmä

Recent experiments with dilute trapped Fermi gases observed that weak interactions can drastically modify spin transport dynamics and give rise to robust collective effects including global demagnetization, macroscopic spin waves, spin…

Quantum Gases · Physics 2016-12-09 Andrew P. Koller , Michael L. Wall , Josh Mundinger , Ana Maria Rey

Motivated by the prospect of optical lattice experiments with two-component Fermi gases consisting of different atomic species such as Li and K, we calculate the energies for N fermions under harmonic confinement as a function of the mass-…

Other Condensed Matter · Physics 2009-11-13 D. Blume

We address the problem posed by the inhomogeneous trapping fields when using ultracold fermions to simulate strongly correlated electrons. As a starting point, we calculate the density of states for a single atom. Using semiclassical…

Statistical Mechanics · Physics 2007-05-23 C. Hooley , J. Quintanilla

The superfluid transition in an ultracold two-component atomic Fermi gas is analyzed in the case where the two components have different densities. We describe a superfluid state which spontaneously breaks the rotational-symmetry by…

Superconductivity · Physics 2007-05-23 Armen Sedrakian , Jordi Mur-Petit , Artur Polls , Herbert Müther

We study the thermodynamical properties of Fermi vapors confined in a harmonic external potential. In the case of the ideal Fermi gas, we compare exact density profiles with their semiclassical approximation in the conditions of recent…

Statistical Mechanics · Physics 2009-10-31 L. Salasnich , B. Pozzi , A. Parola , L. Reatto

Ultracold fermionic gases in optical lattices give a great opportunity for creating different types of novel states. One of them is phase separation induced by a trapping potential between different types of superfluid phases. The…

Quantum Gases · Physics 2019-05-06 Agnieszka Cichy , Konrad Jerzy Kapcia , Andrzej Ptok

We improve on the abstract estimate obtained in Part 1 by assuming that there are constraints imposed by `overlapping momentum loops'. These constraints are active in a two dimensional, weakly coupled fermion gas with a strictly convex…

Mathematical Physics · Physics 2007-05-23 Joel Feldman , Horst Knoerrer , Eugene Trubowitz

We have observed phase separation between the superfluid and the normal component in a strongly interacting Fermi gas with imbalanced spin populations. The in situ distribution of the density difference between two trapped spin components…

Statistical Mechanics · Physics 2009-11-11 Y. Shin , M. W. Zwierlein , C. H. Schunck , A. Schirotzek , W. Ketterle

The equation of state of a dilute two-component asymmetric Fermi gas at unitarity is subject to strong constraints, which affect the spatial density profiles in atomic traps. These constraints require the existence of at least one…

Superconductivity · Physics 2008-11-26 Aurel Bulgac , Michael McNeil Forbes

We investigate thermodynamics and quantum criticality of strongly attractive Fermi gases confined in a one-dimensional (1D) harmonic trap. Finite temperature density profiles, entropy, compressibility and susceptibility of the trapped gas…

Quantum Gases · Physics 2015-03-17 Xiangguo Yin , Xi-Wen Guan , Shu Chen , Murray T Batchelor

We calculate the mean-field thermodynamics of a spherically trapped Fermi gas with unequal spin populations in the unitarity limit, comparing results from the Bogoliubov-de Gennes equations and the local density approximation. We follow the…

Strongly Correlated Electrons · Physics 2007-05-23 Xia-Ji Liu , Hui Hu , Peter D. Drummond

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

Recent advances in ultra-cold atomic Fermi gases make it possible to achieve a fermionic superfluid with multiple spin components. In this context, any mean-field description is expected to fail, owing to the presence of tightly bound…

Superconductivity · Physics 2009-11-13 Xia-Ji Liu , Hui Hu , Peter D. Drummond

The knowledge of a series expansion of the equation of state provides a deep insight into the physical nature of a quantum system. Starting from a generic ``perturbative'' equation of state of a homogeneous ultracold gas we make predictions…

Strongly Correlated Electrons · Physics 2009-11-11 G. E. Astrakharchik

Dynamics of strongly interacting Fermi gases, consisting of a 50-50 mixture of two different fermionic species, is investigated. For the equation of state we consider a Pad\'{e} [2/2] approximations, which gives the weak-coupling…

Other Condensed Matter · Physics 2007-05-23 Yeong E. Kim , Alexander L. Zubarev

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 ideal (i.e. noninteracting), homogeneous Fermi gas, with its characteristic sharp Fermi surface in the momentum distribution, is a fundamental concept relevant to the behavior of many systems. With trapped Fermi gases of ultracold…

Quantum Gases · Physics 2012-09-10 T. E. Drake , Y. Sagi , R. Paudel , J. T. Stewart , J. P. Gaebler , D. S. Jin