论文标题
双玻色和费米气体的散装粘度
Bulk viscosity of dual Bose and Fermi gases in one dimension
论文作者
论文摘要
已知一维玻色和带有接触相互作用的Fermi气体表现出弱二元性，其中一个系统在弱耦合处的平衡热力学特性与强耦合处的另一系统相同。在这里，我们表明这种二元性延伸到热力学范围内，到频率依赖性的复合体粘度，该粘度由接触接触响应函数提供。特别是，我们确认，玻色和费米气体的散装粘度在高温极限上是一致的，在这种高温极限上，在任意耦合时可以使用散曲目的系统扩张。我们还在任意温度下在弱偶联极限的情况下对它们的大量粘度进行了扰动，该温度通过二元性充当Fermi和Bose气体的粘液量。
One-dimensional Bose and Fermi gases with contact interactions are known to exhibit the weak-strong duality, where the equilibrium thermodynamic properties of one system at weak coupling are identical to those of the other system at strong coupling. Here, we show that such duality extends beyond the thermodynamics to the frequency-dependent complex bulk viscosity, which is provided by the contact-contact response function. In particular, we confirm that the bulk viscosities of the Bose and Fermi gases agree in the high-temperature limit, where the systematic expansion in terms of fugacity is available at arbitrary coupling. We also compute their bulk viscosities perturbatively in the weak-coupling limit at arbitrary temperature, which via the duality serve as those of the Fermi and Bose gases in the strong-coupling limit.
