Superfluid state of atomic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow /><mml:mrow><mml:mn>6</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">Li</mml:mi></mml:math>in a magnetic trap

Houbiers, M.; Ferwerda, R.; Stoof, H. T. C.; McAlexander, W. I.; Sackett, C. A.; Hulet, Randall G.

doi:10.1103/physreva.56.4864

Cited by 213 publications

(321 citation statements)

References 30 publications

(59 reference statements)

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“…A mechanical instability of a strongly interacting Fermi gas arises when attractive interactions overcome repulsive effects such as the Fermi pressure [3]. In actual experimental realizations [10], there are mechanisms not represented by the simple model Eq.…”

Section: Ground Statementioning

confidence: 99%

Simple variational approach for an interacting Fermi trapped gas

2004

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Quantum states of a two-component Fermi trapped gas are described by introducing an effective trap frequency, determined via variational techniques. Closed expressions for the contribution of a contact interaction potential to the total energy and the pairing interaction are derived. They are valid for both few and large number of particles, given the discrete nature of the formulation, and therefore richer than the continuous expressions, which are perfectly matched. Pairing energies within a shell are explicitly evaluated and its allowed values at a given energy level delimited. We show the importance of the interaction over the trap energy as the number of particles (N ) grows and the temperature decreases. At zero temperature we find a polynomial dependence of the interaction energy on the Fermi energy, whose dominant term at large N corresponds with the mean field approximation result. In addition, the role of the strength of an attractive potential on the total energy is exhibited.

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Section: Ground Statementioning

confidence: 99%

Simple variational approach for an interacting Fermi trapped gas

2004

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“…It has even been shown that a two-component gas of spin-polarized atomic 6 Li becomes superfluid at experimentally obtainable densities and temperatures [4]. This is due to the fact that 6 Li has an anomalously large and negative s-wave scattering length a, with a recent measurement giving a ≃ −2160a 0 where a 0 is the Bohr radius [5]. s-wave scattering is forbidden for two fermions in the same spin-state, but, the 6 Li atom has six hyperfine states.…”

Section: Introductionmentioning

confidence: 99%

Interacting Fermi gas in a harmonic trap

Bruun

Burnett

1998

Phys. Rev. A

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In view of ongoing experiments to trap ultracold spin-polarized 6 Li, we study various properties of an interacting Fermi gas in a harmonic trap taking the discrete nature of the unperturbed harmonic trap levels into account exactly. As 6 Li has a rather large and negative scattering length, we focus on the effects of the attractive atom-atom interaction on several thermodynamic properties and on the momentum and density distributions. The dependence of the chemical potential, the specific heat and the density and momentum distributions on the number of particles in the trap is obtained. We also calculate the energy of the gas. Comparison is made with results of a semiclassical calculation and with the properties of a non-interacting gas. We find that the effect of the interactions is rather large for realistic trap frequencies. Hence, it is important to include these interactions in any quantitative predictions relevant for experiments.

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“…For simplicity we have considered here a non-interacting Fermi gas, but it is clear that this method can be extended to study the effects of interactions onto the fermionic excitation spectrum. In particular we plan to address the consequences of Cooper pairing of the fermions [5,23,24,25] in a subsequent paper.…”

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confidence: 99%

Collisional relaxation in a fermionic gas

Ferrari

1999

Phys. Rev. A

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We propose a method to study the degeneracy of a trapped atomic gas of fermions through the relaxation of the motion of a test particle. In the degenerate regime, and for an energy of the test particle well below the Fermi energy, we show that the Fermi-Dirac statistics is responsible for a strong decrease of the relaxation rate. This method can be used to directly measure the temperature of the fermionic gas.

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Superfluid state of atomic6Liin a magnetic trap

Cited by 213 publications

References 30 publications

Simple variational approach for an interacting Fermi trapped gas

Simple variational approach for an interacting Fermi trapped gas

Interacting Fermi gas in a harmonic trap

Collisional relaxation in a fermionic gas

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