Phenomenological Equation of State and Density Profiles of Strongly Interacting Trapped Superfluid Fermi Gases with Arbitrary Atom Numbers
Phenomenological Equation of State and Density Profiles of Strongly Interacting Trapped Superfluid Fermi Gases with Arbitrary Atom Numbers
复制标题
DOI：
10.1007/s10909-010-0161-z
复制
发表时间：
2010-02
影响因子：
2
通讯作者：
W. Y. Zhang;C. R. Ma;Y. L. Ma
中科院分区：
文献类型：
--
作者：
W. Y. Zhang;C. R. Ma;Y. L. Ma
我们提出了一个现象学状态方程（EOS），推导了一个非线性量子流体动力学方程，并研究了在BCS-BEC交叉域中具有任意数量粒子的捕获超流体费米气体的密度分布。EOS的渐近行为与它在三个极限域的展开式完全匹配：BCS、唯一性和BEC。通过使用这种EOS，量子流体力学方程超越了平均场，在所有相互作用状态下都有效，并专门用于统一状态。我们采用广义Thomas-Fermi近似下的类fetter试波函数，求解了流体动力学方程，并计算了BCS-BEC交叉区中基态凝析液的能量、化学势、大小和分布。所得结果与理论和实验结果吻合较好。
We present a phenomenological equation of state (EOS), derive a nonlinear quantum hydrodynamical equation and investigate the density profiles of a trapped superfluid Fermi gas with arbitrary number of particles in the BCS-BEC crossover regime. The asymptotic behavior of the EOS exactly matches with its expansions in three limiting regimes: BCS, unitarity and BEC. By using this EOS, the quantum hydrodynamical equation is beyond mean-field version, valid in all interacting regimes and used for the unitarity regime specially. We take a Fetter-like trial wave function in generalized Thomas-Fermi approximation, solve the hydrodynamical equation and calculate the energy, chemical potential, sizes and profiles of the ground-state condensate in the BCS-BEC crossover regime. Our results agree well with the theoretical and experimental results.