86 research outputs found
Influence of Induced Interactions on the Superfluid Transition in Dilute Fermi Gases
We calculate the effects of induced interactions on the transition
temperature to the BCS state in dilute Fermi gases. For a pure Fermi system
with 2 species having equal densities, the transition temperature is suppressed
by a factor , and for fermion species, the
transition temperature is increased by a factor . For mixtures of fermions and bosons the exchange of boson density
fluctuations gives rise to an effective interaction, and we estimate the
increase of the transition temperature due to this effect.Comment: 4 pages, 3 figure
Boson induced s-wave pairing in dilute boson-fermion mixtures
We show that in dilute boson-fermion mixtures with fermions in two internal
states, even when the bare fermion-fermion interaction is repulsive, the
exchange of density fluctuations of the Bose condensate may lead to an
effective fermion-fermion attraction, and thus to a Cooper instability in the
s-wave channel. We give an analytical method to derive the associated in
the limit where the phonon branch of the Bogoliubov excitation spectrum of the
bosons is important. We find a of the same order as for a pure Fermi gas
with bare attraction.Comment: 12 pages, no figure
Ground-state properties of trapped Bose-Fermi mixtures: role of exchange-correlation
We introduce Density Functional Theory for inhomogeneous Bose-Fermi mixtures,
derive the associated Kohn-Sham equations, and determine the
exchange-correlation energy in local density approximation. We solve
numerically the Kohn-Sham system and determine the boson and fermion density
distributions and the ground-state energy of a trapped, dilute mixture beyond
mean-field approximation. The importance of the corrections due to
exchange--correlation is discussed by comparison with current experiments; in
particular, we investigate the effect of of the repulsive potential energy
contribution due to exchange--correlation on the stability of the mixture
against collapse.Comment: 6 pages, 4 figures (final version as published in Physical Review
Signatures of macroscopic quantum coherence in ultracold dilute Fermi gases
We propose a double-well configuration for optical trapping of ultracold
two-species Fermi-Bose atomic mixtures. Two signatures of macroscopic quantum
coherence attributable to a superfluid phase transition for the Fermi gas are
analyzed. The first signature is based upon tunneling of Fermi pairs when the
power of the deconfining laser beam is significantly reduced. The second relies
on the observation of interference fringes in a regime where the fermions are
trapped in two sharply separated minima of the potential. Both signatures rely
on small decoherence times for the Fermi samples, which should be possible by
reaching low temperatures using a Bose gas as a refrigerator, and a bichromatic
optical dipole trap for confinement, with optimal heat-capacity matching
between the two species
Critical temperature of Bose-Einstein condensation in trapped atomic Bose-Fermi mixtures
We calculate the shift in the critical temperature of Bose-Einstein
condensation for a dilute Bose-Fermi mixture confined by a harmonic potential
to lowest order in both the Bose-Bose and Bose-Fermi coupling constants. The
relative importance of the effect on the critical temperature of the
boson-boson and boson-fermion interactions is investigated as a function of the
parameters of the mixture. The possible relevance of the shift of the
transition temperature in current experiments on trapped Bose-Fermi mixtures is
discussed.Comment: 15 pages, 2 figures, submitted to J. Phys.
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