Viscous Drude weight of dual Bose and Fermi gases in one dimension
Viscous Drude weight of dual Bose and Fermi gases in one dimension
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DOI：
10.1103/physreva.106.063317
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发表时间：
2022-10
影响因子：
2.9
通讯作者：
Y. Nishida
中科院分区：
文献类型：
--
作者：
Y. Nishida
我们继续研究了具有接触相互作用的一维玻色和费米气体的频率依赖的复体粘滞系数，根据我们最近的工作，它们表现出弱-强对偶性。在这里，我们表明它们是由在零频率处发散的德鲁德峰贡献的，这对于一维量子可积系统的输运系数是典型的。特别是，他们的Drude重量的基础上评估的久保公式在高温限制在任意耦合以及在弱耦合和强耦合限制在任意温度下，其中系统的小参数方面的扩展是可用的。在这三个极限中，德鲁德峰的阶数都比有限的规则部分高。
We continue to study frequency-dependent complex bulk viscosities of one-dimensional Bose and Fermi gases with contact interactions, which exhibit the weak-strong duality according to our recent work. Here, we show that they are contributed to by Drude peaks divergent at zero frequency as typical for transport coefficients of quantum integrable systems in one dimension. In particular, their Drude weights are evaluated based on the Kubo formula in the high-temperature limit at arbitrary coupling as well as in the weak-coupling and strong-coupling limits at arbitrary temperature, where systematic expansions in terms of small parameters are available. In all the three limits, the Drude peaks are found at higher orders compared to the finite regular parts.