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arXiv · 2010.11184

Low-density limit of dynamical correlations in the Lieb-Liniger model

Etienne Granet
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Abstract

We derive explicit expressions for dynamical correlations of the field and density operators in the Lieb-Liniger model, within an arbitrary eigenstate with a small particle density ${\cal D}$. They are valid for all space and time and any interaction strength $c>0$, and are the leading order of an expansion in ${\cal D}$. This expansion is obtained by writing the correlation functions as sums over form factors when formally decomposed into partial fractions.

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Etienne Granet. 2020-10-21. Low-density limit of dynamical correlations in the Lieb-Liniger model. https://doi.org/10.1088/1751-8121%2Fabe754

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