Phonon exchange in dilute Fermi-Bose mixtures: tailoring the Fermi-Fermi interaction
arXiv:cond-mat/9911084 · doi:10.1103/PhysRevA.61.053601
Abstract
We consider a mixture of a single-component Bose gas and a two-component Fermi gas at temperatures where the Bose gas is almost fully condensed. In such a mixture, two fermionic atoms can interact with each other by exchanging a phonon that propagates through the Bose condensate. We calculate the interaction potential due to this mechanism and determine the effective s-wave scattering length for two fermions that interact, both directly by the interatomic potentials, as well as by the above mentioned exchange mechanism. We find that the effective scattering length is quite sensitive to changes in the condensate density and becomes strongly energy dependent. In addition, we consider the mechanical stability of these mixtures and also calculate the dispersion and the damping of the various collisionless collective modes of the gas.
Corrected some typo's, made some changes to the figures and addes two new references
References in corpus (9)
- Vortices in a Bose-Einstein Condensate
- Observation of metastable states in spinor Bose-Einstein condensates
- Preparing Topological States of a Bose-Einstein Condensate
- Watching a superfluid untwist itself: Recurrence of Rabi oscillations in a Bose-Einstein condensate
- Observation of p-wave Threshold Law Using Evaporatively Cooled Fermionic Atoms
- Quantum tunneling across spin domains in a Bose-Einstein condensate
- Temperature-dependent density profiles of trapped boson-fermion mixtures
- Sympathetic cooling of an atomic Bose-Fermi gas mixture
- Quantum degeneracy and interaction effects in spin-polarized Fermi-Bose mixtures
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