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首页> 外文期刊>Annales Henri Poincare >Large-Distance and Long-Time Asymptotic Behavior of the Reduced Density Matrix in the Non-Linear Schrodinger Model
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Large-Distance and Long-Time Asymptotic Behavior of the Reduced Density Matrix in the Non-Linear Schrodinger Model

机译：非线性薛定inger模型中约化矩阵的大距离和长时间渐近行为

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摘要

Starting from the form factor expansion in finite volume, we derive the multidimensional generalization of the so-called Natte series for the time- and distance-dependent reduced density matrix at zero temperature in the non-linear Schrodinger model. This representation allows one to read-off straightforwardly the long-time/large-distance asymptotic behaviour of this correlator. This method of analysis reduces the complexity of the computation of the asymptotic behaviour of correlation functions in the so-called interacting integrable models, to the one appearing in free-fermion equivalent models. We compute explicitly the first few terms appearing in the asymptotic expansion. Part of these terms stems from excitations lying away from the Fermi boundary, and hence go beyond what can be obtained using the CFT/Luttinger liquid-based predictions.
机译：从有限体积中的形状因数展开开始，我们针对非线性薛定inger模型中零温度下时间和距离相关的密度降低矩阵，推导了所谓Natte级数的多维概括。这种表示允许人们直接读取该相关器的长时间/远距离渐近行为。这种分析方法将在所谓的相互作用可积模型中相关函数的渐近行为的计算复杂性降低到自由费米等效模型中出现的复杂性。我们显式地计算渐近展开中出现的前几个项。这些术语的一部分源自远离费米边界的激发，因此超出了使用基于CFT / Luttinger液体的预测所能获得的范围。

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