Polar molecules in bilayers with high population imbalance

Abstract

We investigate a dilute Fermi gas of polar molecules confined into a bilayer setup with dipole moments polarized perpendicular to the layers. In particular, we consider the extreme case of population imbalance, where we have only one particle in one layer and many particles in the other one. The single molecule is attracted by the dilute Fermi-gas through the inter-layer dipole-dipole force presenting an interesting impurity problem with longrange anistropic interaction. We calulate the chemical potential of the impurity, in second order perturbation theory and in ladder approximation with a Brueckner-Hartree-Fock approach. Moreover, we determine the momentum relaxation rate of the impurity, which is related to the "dipolar" drag effect. For a confined system we relate the results for the chemical potential with the measurement of the collective modes of the impurity. The momentum relaxation rate provide instead an estimate on how quickly the oscillations are damped.

7 pages, 3 figures

References in corpus (24)

• A High Phase-Space-Density Gas of Polar Molecules
• Observation of Fermi Polarons in a Tunable Fermi Liquid of Ultracold Atoms
• Metastability and Coherence of Repulsive Polarons in a Strongly Interacting Fermi Mixture
• The Equation of State of a Low-Temperature Fermi Gas with Tunable Interactions
• Quantum phase transition in a two-dimensional system of dipoles
• Radiofrequency spectroscopy of a strongly interacting two-dimensional Fermi gas
• Ultracold Fermionic Feshbach Molecules of ${}^{23}$Na${}^{40}$K
• Ultra-cold Polarized Fermi Gases
• Excitation spectra and rf-response near the polaron-to-molecule transition from the functional renormalization group
• Fermi polarons in two dimensions
• Quantum phases of a Two-Dimensional Dipolar Fermi Gas
• Interlayer superfluidity in bilayer systems of fermionic polar molecules
• Polaron-molecule transitions in a two-dimensional Fermi gas
• Coulomb Drag in Graphene
• Polarons and Molecules in a Two-Dimensional Fermi Gas
• Two-dimensional scattering and bound states of polar molecules in bilayers
• Superfluidity and dimerization in a multilayered system of fermionic polar molecules
• Spin Drag and Spin-Charge Separation in Cold Fermi Gases
• Liquid and crystal phase of dipolar fermions in two dimensions
• Collisional Properties of a Polarized Fermi Gas with Resonant Interactions
• Highly polarized Fermi gases: One-dimensional case
• The role of interactions in spin-polarised atomic Fermi gases at unitarity
• Spin drag in an ultracold Fermi gas on the verge of a ferromagnetic instability
• Non-local state-swapping of polar molecules in bilayers

Cited by in corpus (6)

• Correlation effects and collective excitations in bosonic bilayers: role of quantum statistics, superfluidity and dimerization transition
• Dipolar-Induced Resonance for Ultracold Bosons in a Quasi-1D Optical Lattice
• Equation of state and Kosterlitz-Thouless transition temperature in two-dimensional Fermi gases: An analytical approach
• The impurity problem in a bilayer system of dipoles
• Effects of weak disorder on two-dimensional bilayered dipolar Bose-Einstein condensates
• Multiple polaron quasiparticles with dipolar fermions in a bilayer geometry