Zero-sound density oscillations in Fermi-Bose mixtures

Capuzzi, P.; Hernández, E. S.

doi:10.1103/physreva.64.043607

Cited by 43 publications

(42 citation statements)

References 34 publications

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“…[9] for a mixture with concentric external potentials. This model has been called the double-parabola model by Vichi et al [9], and it has also been used by Capuzzi and Hernández [19]. However, in these works the possibility of a displacement between the minima of the potentials has not been considered.…”

Section: ͑12͒mentioning

confidence: 99%

K-Rb Fermi-Bose mixtures: Vortex states and sag

et al. 2004

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We study a confined mixture of bosons and fermions in the quantal degeneracy regime with attractive boson-fermion interaction. We discuss the effect that the presence of vortical states and the displacement of the trapping potentials may have on mixtures near collapse, and investigate the phase stability diagram of the K-Rb mixture in the mean-field approximation supposing in one case that the trapping potentials felt by bosons and fermions are shifted from each other, as it happens in the presence of a gravitational sag, and in another case, assuming that the Bose condensate sustains a vortex state. In both cases, we have obtained an analytical expression for the fermion effective potential when the Bose condensate is in the Thomas-Fermi regime, that can be used to determine the maxima of the Fermionic density. We have numerically checked that the values one obtains for the location of these maxima using the analytical formulas remain valid up to the critical boson and fermion numbers, above which the mixture collapses.

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Section: ͑12͒mentioning

confidence: 99%

K-Rb Fermi-Bose mixtures: Vortex states and sag

et al. 2004

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“…Substituting these values into (25) and (26), we obtain d 2 ≈ log(4/3)/2 ≈ 0.14. Because inside the boson region in addition, V 2 → 0 when Finally, in h > 1, the fermion density distribution has the surface-peaked peak, and a large part of fermions populate outside the boson region.…”

Section: E Collective Oscillation Modes In Largely Oblate Deformed Tmentioning

confidence: 99%

Deformation dependence of breathing oscillations in Bose–Fermi mixtures at zero temperature

Maruyama

Yamamoto

Nishimura

et al. 2014

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

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We study the breathing oscillations in bose-fermi mixtures in the axially-symmetric deformed trap of prolate, spherical and oblate shapes, and clarify the deformation dependence of the frequencies and the characteristics of collective oscillations. The collective oscillations of the mixtures in deformed traps are calculated in the scaling method. In largely-deformed prolate and oblate limits and spherical limit, we obtain the analytical expressions of the collective frequencies. The full calculation shows that the collective oscillations become consistent with the analytically-obtained frequencies when the system is deformed into both prolate and oblate regions. The complicated changes of oscillation characters are shown to occur in the transcendental regions around the spherically-deformed region. We find that these critical changes of oscillation characters are explained by the level crossing behaviors of the intrinsic oscillation modes. The approximate expressions are obtained for the level crossing points that determine the transcendental regions. We also compare the results of the scaling methods with those of the dynamical approach.

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“…One may then consider a new ground state, which is a superposition of a bosonic and fermionic density fluctuation, in analogy to the dressed states of quantum optics [32]. In the appendix it is shown that such a superposition can result in a state with an energy lower than the state used in this section and in other studies of BoseFermi mixtures [14,15,16,17,18,19,20,23], which do not contain any quantum correlations between the densities of the two gases. This indicates that a dynamical instability signified by Im[ℓ k (ω)] = 0 leads to a lower energy ground state of the Bose-Fermi mixture.…”

Section: Mixture Of Bec and Normal Fermi Gasmentioning

confidence: 99%

“…There have been a number of recent studies of both the ground state properties [14,15,16,17] and the collective modes for the density fluctuations of the coupled gases [18,19,20,21]. These studies have all treated the ground state of the fermions as being that of a normal degenerate Fermi gas.…”

Section: Introductionmentioning

confidence: 99%

Quasiparticle spectrum and dynamical stability of an atomic Bose-Einstein condensate coupled to a degenerate Fermi gas

Zhang

et al. 2002

Phys. Rev. A

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The quasiparticle excitations and dynamical stability of an atomic Bose-Einstein condensate coupled to a quantum degenerate Fermi gas of atoms at zero temperature is studied. The Fermi gas is assumed to be either in the normal state or to have undergone a phase transition to a superfluid state by forming Cooper pairs. The quasiparticle excitations of the Bose-Einstein condensate exhibit a dynamical instability due to a resonant exchange of energy and momentum with quasiparticle excitations of the Fermi gas. The stability regime for the bosons depends on whether the Fermi gas is in the normal state or in the superfluid state. We show that the energy gap in the quasiparticle spectrum for the superfluid state stabilizes the low energy energy excitations of the condensate. In the stable regime, we calculate the boson quasiparticle spectrum, which is modified by the fluctuations in the density of the Fermi gas.

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Zero-sound density oscillations in Fermi-Bose mixtures

Cited by 43 publications

References 34 publications

K-Rb Fermi-Bose mixtures: Vortex states and sag

K-Rb Fermi-Bose mixtures: Vortex states and sag

Deformation dependence of breathing oscillations in Bose–Fermi mixtures at zero temperature

Quasiparticle spectrum and dynamical stability of an atomic Bose-Einstein condensate coupled to a degenerate Fermi gas

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