Phase diagram of trapped degenerate Fermi gases including effective s- and p-wave interactions

Abstract

The influence of s- and p-wave interactions on trapped degenerate one and two-component Fermi gases is investigated. The energy functional of a multicomponent Fermi gas is derived within the Thomas-Fermi approximation including the s- and p-wave terms of an effective contact interaction. On this basis the stability of the dilute gas against mean-field induced collapse due to attractive interactions is investigated and explicit stability conditions in terms of Fermi momentum and s- and p-wave scattering lengths are derived. Furthermore the spatial separation in a two-component Fermi gas is discussed, explicit conditions for the onset of component demixing are given, and the density distributions in the separated phase are calculated. The findings are summarized in a zero-temperature phase diagram for the degenerate two-component Fermi gas. It is shown that the p-wave interaction has significant influence on the phase diagram of the degenerate Fermi gas and causes new phenomena like absolute stabilization against collapse and component separation. It may therefore be useful in the context of the envisioned BCS transition in trapped atomic Fermi gases.

16 pages, 7 figures; submitted to J. Phys. B; multimedia supplements are available at http://theory.gsi.de/~trap/

References in corpus (4)

• A quasi-pure Bose-Einstein condensate immersed in a Fermi sea
• Dynamics of collapsing and exploding Bose-Einstein condensates
• Controlled Collapse of a Bose-Einstein Condensate
• Effective s- and p-Wave Contact Interactions in Trapped Degenerate Fermi Gases

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• Nonlinear Waves in Bose-Einstein Condensates: Physical Relevance and Mathematical Techniques
• Structure and stability of trapped atomic boson-fermion mixtures
• Mean-field instability of trapped dilute boson-fermion mixtures
• Symmetric and asymmetric solitons in linearly coupled Bose-Einstein condensates trapped in optical lattices
• Collective ferromagnetism in two-component Fermi-degenerate gas trapped in finite potential
• Tightly bound gap solitons in a Fermi gas
• Ground state of two-component degenerate fermionic gases
• Mixing-demixing in a trapped degenerate fermion-fermion mixture
• Miscibility in a degenerate fermionic mixture induced by linear coupling
• Bose-Fermi mixtures in the molecular limit
• Phase separation in optical lattices in a spin-dependent external potential
• Supershell structure in trapped dilute Fermi gases
• Exchange interactions in the Hubbard-Stratonovich transformation for the stability analysis of itinerant ferromagnetism