Three-body local correlation function in the Lieb-Liniger model: bosonization approach

Physics – Condensed Matter – Other Condensed Matter

Scientific paper

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40 pages, 2 figures

Scientific paper

10.1088/1742-5468/2006/08/P08015

We develop a method for the calculation of vacuum expectation values of local
operators in the Lieb-Liniger model. This method is based on a set of new
identities obtained using integrability and effective theory (``bosonization'')
description. We use this method to get an explicit expression for the
three-body local correlation function, measured in a recent experiment [1].

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