从BCS到玻色交叉超流费米气体的非线性薛定谔方程
Nonlinear Schrödinger equation for a superfluid Fermi gas from BCS to Bose crossover
摘要：
引入一个准解析的非线性薛定谔方程，并引入超平均场修正来描述零温稀释超流费米气体从弱耦合的Bardeen-Cooper-Schrieffer（BCS）体系（其中$k_F|a| \ll 1$和$a$是s波散射长度，$k_F$是费米动量）穿越么正极限$k_Fa \to \pm \infty$到玻色体系（其中$k_Fa >0$是费米动量）的动力学行为.我们的模型的能量参数化使用已知的渐近行为在BCS，玻色，和么正性限制，并在良好的协议与准确的格林函数蒙特卡罗计算。该模型产生了良好的结果，集体呼吸振荡的频率被困费米超流体。
英文摘要：
We introduce a quasi-analytic nonlinear Schrödinger equation with beyond mean-field corrections to describe the dynamics of a zero-temperature dilute superfluid Fermi gas in the crossover from the weak-coupling Bardeen-Cooper-Schrieffer (BCS) regime, where $k_F|a| \ll 1$ with $a$ the s-wave scattering length and $k_F$ the Fermi momentum, through the unitarity limit, $k_Fa \to \pm \infty$, to the Bose regime where $k_Fa >0$. The energy of our model is parametrized using the known asymptotic behavior in the BCS, Bose, and the unitarity limits and is in excellent agreement with accurate Green function Monte Carlo calculations. The model generates good results for frequencies of collective breathing oscillation of a trapped Fermi superfluid.
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