论文标题

关于隧道耦合一维玻璃气的低能描述

On the low-energy description for tunnel-coupled one-dimensional Bose gases

论文作者

van Nieuwkerk, Yuri D., Essler, Fabian H. L.

论文摘要

我们考虑了一个具有硬壁边界条件的两个隧道耦合的一维玻璃气体的模型。殖民模型并仅保留最相关的相互作用,导致了由量子正弦模型和游离玻色子组成的脱钩理论,分别描述了相位场的反对称和对称组合。我们通过保留下一个最小缩放维度的扰动来超越这种描述。这种扰动带有保形自旋,并伴侣这两个部门。我们详细研究了这种耦合对模型非平衡动力学的影响。我们特别关注空间不均匀性在初始状态中在量子淬灭设置中所起的作用。

We consider a model of two tunnel-coupled one-dimensional Bose gases with hard-wall boundary conditions. Bosonizing the model and retaining only the most relevant interactions leads to a decoupled theory consisting of a quantum sine-Gordon model and a free boson, describing respectively the antisymmetric and symmetric combinations of the phase fields. We go beyond this description by retaining the perturbation with the next smallest scaling dimension. This perturbation carries conformal spin and couples the two sectors. We carry out a detailed investigation of the effects of this coupling on the non-equilibrium dynamics of the model. We focus in particular on the role played by spatial inhomogeneities in the initial state in a quantum quench setup.

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