Trap-imbalanced fermion mixtures

Abstract

We analyze the ground state phases of two-component ($\sigma \equiv \{\uparrow ,\downarrow \}$) population- and mass-balanced ($N_{\uparrow }=N_{\downarrow }$ and $m_{\uparrow }=m_{\downarrow }$) but trap-imbalanced (${\omega }_{\uparrow }\ne {\omega }_{\downarrow }$) fermion mixtures as a function of interaction strength from the weak attraction Bardeen-Cooper-Schrieffer (BCS) to the strong attraction Bose-Einstein condensation (BEC) limit. In the BCS limit, we find that the unpolarized superfluid (UPS) fermions exist away from the central core of the trapping potentials, and are surrounded by partially polarized normal (P$\sigma$PN) fermions. As the interactions increase towards unitarity, we find that the central P$\sigma$PN core first transitions to a UPS, and then expands towards the edges until the entire mixture becomes a UPS in the BEC limit.

4 pages and 3 figures

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Cited by in corpus (10)

• Collisional Stability of 40K Immersed in a Strongly Interacting Fermi Gas of 6Li
• All-optical production of a degenerate mixture of 6Li and 40K and creation of heteronuclear molecules
• Feshbach resonances in the 6Li-40K Fermi-Fermi mixture: Elastic versus inelastic interactions
• Small mass- and trap-imbalanced two-component Fermi systems
• Lifetime of Feshbach dimers in a Fermi-Fermi mixture of ${}^6$Li and ${}^{40}$K
• Vortex core states in superfluid Fermi-Fermi mixtures with unequal masses
• Phase separation in optical lattices in a spin-dependent external potential
• Component separation of two-component fermion clouds in a spin-dependent external potential by spin-density-functional theory
• The demixing of the two-component fermions in optical lattices under a spin-dependent external potential
• Trap and population imbalanced two-component Fermi gas in the BEC limit