Casimir interaction among heavy fermions in the BCS-BEC crossover
arXiv:0811.1615 · doi:10.1103/PhysRevA.79.013629
Abstract
We investigate a two-species Fermi gas with a large mass ratio interacting by an interspecies short-range interaction. Using the Born-Oppenheimer approximation, we determine the interaction energy of two heavy fermions immersed in the Fermi sea of light fermions as a function of the s-wave scattering length. In the BCS limit, we recover the perturbative calculation of the effective interaction between heavy fermions. The p-wave projection of the effective interaction is attractive in the BCS limit while it turns out to be repulsive near the unitarity limit. We find that the p-wave attraction reaches its maximum between the BCS and unitarity limits, where the maximal p-wave pairing of heavy minority fermions is expected. We also investigate the case where the heavy fermions are confined in two dimensions and the p-wave attraction between them is found to be stronger than that in three dimensions.
11 pages, 6 figures
References in corpus (20)
- Many-Body Physics with Ultracold Gases
- Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
- Theory of ultracold Fermi gases
- Color superconductivity in dense quark matter
- Pairing and Phase Separation in a Polarized Fermi Gas
- Fermionic Superfluidity with Imbalanced Spin Populations and the Quantum Phase Transition to the Normal State
- Observation of Phase Separation in a Strongly-Interacting Imbalanced Fermi Gas
- Direct Observation of the Superfluid Phase Transition in Ultracold Fermi Gases
- Exploring an ultracold Fermi-Fermi mixture: Interspecies Feshbach resonances and scattering properties of 6Li and 40K
- Quantum Computation Using Vortices and Majorana Zero Modes of a + Superfluid of Fermionic Cold Atoms
- Normal state of highly polarized Fermi gases: simple many-body approaches
- Deformation of a Trapped Fermi Gas with Unequal Spin Populations
- Quantum degenerate two-species Fermi-Fermi mixture coexisting with a Bose-Einstein condensate
- Universal Fermi gases in mixed dimensions
- Exact quantum Monte Carlo study of one dimensional trapped fermions with attractive contact interactions
- Induced P-wave Superfluidity in Asymmetric Fermi Gases
- Exact Numerical Study of Pair Formation with Imbalanced Fermion Populations
- Casimir forces between defects in one-dimensional quantum liquids
- Crystalline phase of strongly interacting Fermi mixtures
- Casimir Interaction among Objects Immersed in a Fermionic Environment
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- Spectral flow of trimer states of two heavy impurities and one light condensed boson
- Efimov states in Li-Cs mixtures within a minimal model
- An oscillating Casimir potential between two impurities in a spin-orbit coupled Bose-Einstein condensate
- Three-Body Bound States of Quantum Particles: Higher Stability Through Braiding
- Effective pair interaction between impurity particles induced by a dense Fermi gas
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