论文标题

双玻璃和费米气体的粘性drude重量

Viscous Drude weight of dual Bose and Fermi gases in one dimension

论文作者

Nishida, Yusuke

论文摘要

我们继续研究具有接触相互作用的一维玻璃和费米气体的频率复杂粘度,根据我们最近的工作,它们表现出弱二元性。在这里,我们证明它们是由Drude峰在零频率下的Drude峰造成的,这是一个量子内量子集成系统的传输系数的典型特征。特别是,在任意耦合时以及在任意温度下的弱耦合和强耦合极限的高温限制以及在任意温度下的弱耦合和强耦合极限的高温限制中,对它们的灌溉重量进行了评估,其中可用小参数的系统扩展。在所有三个限制中,与有限的常规零件相比,在较高的订单下发现了drude峰。

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 three limits, the Drude peaks are found at higher orders compared to the finite regular parts.

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