Critical Zeeman Splitting of Fermi Superfluidity at Infinite Scattering Length

Lianyi He; Pengfei Zhuang

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arXiv · 0803.4052

Critical Zeeman Splitting of Fermi Superfluidity at Infinite Scattering Length

Lianyi He·Pengfei Zhuang

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Abstract

We determine the critical Zeeman energy splitting for Fermi superfluidity at infinite s-wave scattering length according to the Monte Carlo and experimental results of the equations of state. Based on the universality hypothesis, we show that there exist two critical fields $H_{c1}$ and $H_{c2}$, between which a superfluid-normal mixed phase is energetically favored, and model-independent formulae for $H_{c1}$, $H_{c2}$ and the critical population imbalance $P_c$ are derived. Using recent Monte Carlo and experimental results of $P_c$, $H_{c1}$ and $H_{c2}$ are determined. It is found $H_{c1}=0.41ε_{\text F}$ and $H_{c2}=0.50ε_{\text F}$, with $ε_{\text F}$ being the Fermi energy of non-interacting gas.

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Lianyi He, Pengfei Zhuang. 2009-08-15. Critical Zeeman Splitting of Fermi Superfluidity at Infinite Scattering Length. https://arxiv.org/abs/0803.4052

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