Metastability range of the Bose condensate in $\mathsf{^7}$ Li-fermion mixtures at T = 0

We investigate separations of trapped balanced two-component atomic Fermi gases with repulsive contact interaction. Candidates for ground-state densities are obtained from the imaginary-time evolution of a nonlinear pseudo-Schr\"odinger equation in three dimensions, rather than from the cumbersome variational equations. With the underlying hydrodynamical approach, gradient corrections to the Thomas-Fermi approximation are conveniently included and are shown to be vital for reliable density profiles. We provide critical repulsion strengths that mark the onset of phase transitions in a harmonic trap. We present transitions from identical density profiles of the two fermion species towards isotropic and anisotropic separations for various confinements, including harmonic and double-well-type traps. Our proposed method is suited for arbitrary trap geometries and can be straightforwardly extended to study dynamics in the light of ongoing experiments on degenerate Fermi gases.Comment: 11 pages, 17 figure

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“…from the variation of (6), where A = c D (D + 2)/D. The TF equations were addressed and used in several publications [29][30][31][32][33][34].…”

Section: Thomas-fermi Equationsmentioning

confidence: 99%

“…The phase-diagram for short-range hard/softsphere interaction in a flat box and for small particle numbers is addressed in [28]. For large particle numbers the TF-approximation with contact interaction, employed in [29][30][31][32][33], yields (partial) separations of the two fermion components. LeBlanc et.…”

Section: Introductionmentioning

confidence: 99%

Ground-state densities of repulsive two-component Fermi gases

et al. 2016

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“…showing that the explicit dependence on the scattering length is qualitatively similar to that in equation (7). In addition to the density modes, an oscillation of the spin density ξ = n (s) − n (s) may develop depending on how the gas is perturbed [26][27][28]. In fact, for strong repulsions the two species tend to segregate into two non-overlapping regions.…”

Section: Sound Propagationmentioning

confidence: 62%

Sound wave propagation in strongly elongated fermion clouds at finite collisionality

Capuzzi¹,

Vignolo²,

Federici³

et al. 2006

J. Phys. B: At. Mol. Opt. Phys.

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We evaluate the transition from zero-sound to first-sound behaviour with increasing collisionality in the propagation of density waves through an ultracold gaseous mixture of fermionic atoms confined in the normal state inside a cigar-shaped harmonic trap. We study for this purpose the evolution of the one-body distribution functions associated with a density perturbation generated in the central region of the cloud, as obtained by solving numerically the Vlasov-Landau equations. We examine a variety of trap anisotropies and of repulsive or attractive interaction strengths between the components of the mixture, and the speed of propagation of the density disturbance is found to decrease in both cases as the magnitude of the coupling strength is increased. The results are compared with the values of the speed of zero sound and of first sound, as obtained analytically from the limit of vanishing collisionality and from linearized hydrodynamics. The main effects of the quasi-one-dimensional confinement are the stabilization of zero-sound excitations in the attractive regime before collapse and the lowering of the hydrodynamic sound velocity by a factor 3/5 relative to threedimensional behaviour.Submitted to: J. Phys. B: At. Mol. Phys.

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Equilibrium State And Excitations In Trapped Fermi Vapours

Minguzzi

Tosi

Bose-Einstein Condensates and Atom Lasers

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Metastability range of the Bose condensate in $\mathsf{^7}$ Li-fermion mixtures at T = 0

Cited by 13 publications

References 10 publications

Ground-state densities of repulsive two-component Fermi gases

Ground-state densities of repulsive two-component Fermi gases

Sound wave propagation in strongly elongated fermion clouds at finite collisionality

Equilibrium State And Excitations In Trapped Fermi Vapours

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