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arXiv 2003.07873cond-mat.quant-gasquant-ph
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隧道耦合一维玻色气体的低能描述

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

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

摘要:

本文考虑了具有硬壁边界条件的两个隧道耦合的一维玻色气体模型。玻色子化模型,只保留最相关的相互作用,导致一个解耦的理论组成的量子正弦-戈登模型和一个自由玻色子,分别描述反对称和对称的相场的组合。我们超越了这个描述,保留与下一个最小的尺度尺寸的扰动。这种扰动携带共形自旋并耦合两个扇区。我们进行了详细的调查,这种耦合的非平衡动力学模型的影响。我们特别关注在量子淬火设置中的初始状态中的空间不均匀性所扮演的角色。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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