Trapped fermionic clouds distorted from the trap shape due to many-body effects

Abstract

We present a general approach for calculating densities and other local quantities of trapped Fermi gases, when the cloud shape is distorted with respect to the trap shape due to global energy considerations. Our approach provides a consistent way to explore physics beyond the local density approximation, if this is necessary due to the distortion. We illustrate this by analyzing in detail experimentally observed distortions in an imbalanced Fermi mixture in an elongated trap. In particular, we demonstrate in that case dramatic deviations from ellipsoidal cloud shapes arising from the competition between surface and bulk energies.

4+ pages, 3 figures. Formalism for distorted trapped fermi systems + treatment of polarized fermion experiments. Version 2: slightly shortened, published version

References in corpus (8)

• Crossover from a molecular Bose-Einstein condensate to a degenerate Fermi gas
• Observation of Phase Separation in a Strongly-Interacting Imbalanced Fermi Gas
• Deformation of a Trapped Fermi Gas with Unequal Spin Populations
• Profiles of near-resonant population-imbalanced trapped Fermi gases
• Sarma Phase in Trapped Unbalanced Fermi Gases
• Surface Tension in Unitary Fermi Gases with Population Imbalance
• Pomeranchuk and Topological Fermi Surface Instabilities from Central Interactions
• Pairing of a trapped resonantly-interacting fermion mixture with unequal spin populations

Cited by in corpus (24)

• Theory of ultracold Fermi gases
• Phase diagram of a two-component Fermi gas with resonant interactions
• Imbalanced Feshbach-resonant Fermi gases
• Density-Matrix Renormalization Group Study of Trapped Imbalanced Fermi Condensates
• Fulde-Ferrell-Larkin-Ovchinnikov states in one-dimensional spin-polarized ultracold atomic Fermi gases
• Imbalanced Fermi Gases at Unitarity
• Renormalization Group Theory for the Imbalanced Fermi Gas
• Finite temperature phase diagram of a spin-polarized ultracold Fermi gas in a highly elongated harmonic trap
• Metastability in Spin-Polarized Fermi Gases
• Asymmetric Fermi superfluid with different atomic species in a harmonic trap
• Concomitant Modulated Superfluidity In Polarized Fermionic Gases
• Phase separation in imbalanced fermion superfluids beyond mean-field
• Theory of the Normal/Superfluid interface in population imbalanced Fermi gases
• Bogoliubov-de Gennes study of trapped spin-imbalanced unitary Fermi gases
• Detecting Topological Entanglement Entropy in a Lattice of Quantum Harmonic Oscillators
• Collective Excitations of Trapped Imbalanced Fermion Gases
• Competition between Normal Superfluidity and Larkin-Ovchinnikov Phases of Polarized Fermi Gases in Elongated Traps
• Normal-Superfluid Interface for Polarized Fermion Gases
• Superfluidity in Two-Dimensional Imbalanced Fermi Gases
• Formation of magnetic impurities and pair-breaking effect in a superfluid Fermi gas
• Thermodynamics of Trapped Imbalanced Fermi Gases at Unitarity
• Superfluid/ferromagnet/superfluid junction and $\pi$-phase in a superfluid Fermi gas
• Coexistence of topological and nontopological Fermi-superfluid phases
• The Gor'kov and Melik-Barkhudarov correction to an imbalanced Fermi gas in the presence of impurities