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.

中文翻译：

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隧道耦合一维玻色气体的低能描述

我们考虑具有硬壁边界条件的两种隧道耦合的一维玻色气体的模型。对模型进行玻色并仅保留最相关的相互作用会导致解耦理论，该理论由量子正弦戈登模型和自由玻色子组成，分别描述了相场的反对称和对称组合。我们通过保留下一个最小缩放比例的摄动来超越此描述。这种扰动带有共形的自旋并将两个部分耦合。我们对这种耦合对模型的非平衡动力学的影响进行了详细的研究。我们特别关注量子猝灭设置中初始状态下空间不均匀性所扮演的角色。