# Long-time and large-distance asymptotic behavior of the current–current correlators in the non-linear Schrödinger model

@article{Kozlowski2011LongtimeAL, title={Long-time and large-distance asymptotic behavior of the current–current correlators in the non-linear Schr{\"o}dinger model}, author={Karol Kajetan Kozlowski and V{\'e}ronique Terras}, journal={Journal of Statistical Mechanics: Theory and Experiment}, year={2011}, volume={2011}, pages={P09013} }

We present a new method allowing one to derive the long-time and large-distance asymptotic behavior of the correlation functions of quantum integrable models from their exact representations. Starting from the form factor expansion of the correlation functions in finite volume, we explain how to reduce the complexity of the computation in the so-called interacting integrable models to the one appearing in free fermion equivalent models. We apply our method to the time-dependent zero-temperature…

## 41 Citations

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We propose a form factor approach for the computation of the large distance asymptotic behavior of correlation functions in quantum critical (integrable) models. In the large distance regime we…

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