论文标题
基于参数分区函数的两个组件有吸引力的费米气体的数值模拟
Numerical simulation of two-component attractive Fermi gases based on parametrized partition function
论文作者
论文摘要
具有有限范围有吸引力的相互作用的两个组件费米气体的零温度和有限温度的热力学遇到了费米子标志问题，这似乎是精确的数值模拟中的一个难以克服的问题。在最近的一项工作中，我们找到了一种可靠的方法，可以根据参数化分区函数的方法和$ξ_e$的恒定能量曲线来模拟单组分费米气体的热力学特性。在目前的工作中，该方法概括为具有有限范围有吸引力的相互作用的两组分的费米气体，这清楚地表明我们的方法有机会应用于各种费米系统。从模拟的热容量中，我们发现在费米温度以下的温度下有一个峰，这意味着费米子与不同的自旋配对。在高温下，模拟的热容量接近经典值。这项工作的合理结果证实了我们的方法在有吸引力的情况下的应用，这意味着从核物理学，BCS-BEC交叉，超导性到中子星等广泛应用。
The zero-temperature and finite-temperature thermodynamics of two-component Fermi gases with finite-range attractive interaction suffer from fermion sign problem, which seems like an insurmountable problem in exact numerical simulations. In a recent work, we find a reliable method to simulate the thermodynamic properties of single-component Fermi gases for both noninteracting and repulsively interacting cases based on the method of parametrized partition function and the $ξ_E$ curve of constant energy. In the present work, this method is generalized to two-component Fermi gases with finite-range attractive interaction, which shows clearly that our method has good chance to apply to various Fermi systems. From the simulated heat capacity, we find a peak at the temperature below the Fermi temperature which implies the pairing of fermions with different spin. At high temperature, the simulated heat capacity approaches the classical value. The reasonable result in this work validates the application of our method to attractive cases, which implies a wide range of applications, from nuclear physics, BCS-BEC crossover, superconductivity, to neutron star, etc..
