# Large-Distance and Long-Time Asymptotic Behavior of the Reduced Density Matrix in the Non-Linear Schrödinger Model

@article{Kozlowski2011LargeDistanceAL, title={Large-Distance and Long-Time Asymptotic Behavior of the Reduced Density Matrix in the Non-Linear Schr{\"o}dinger Model}, author={Karol Kajetan Kozlowski}, journal={Annales Henri Poincar{\'e}}, year={2011}, volume={16}, pages={437-534} }

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 Schrödinger 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…

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