One-particle dynamical correlations in the one-dimensional Bose gas

Details One-particle dynamical correlations in the one-dimensional Bose gas One-particle dynamical correlations in the one-dimensional Bose gas

2006-11-13

arxiv.org/abs/cond-mat/0611321v1

J.Stat.Mech.0701:P01008,2007

Physics

Condensed Matter

Statistical Mechanics

19 Pages, 7 figures

Scientific paper

10.1088/1742-5468/2007/01/P01008

The momentum- and frequency-dependent one-body correlation function of the one-dimensional interacting Bose gas (Lieb-Liniger model) in the repulsive regime is studied using the Algebraic Bethe Ansatz and numerics. We first provide a determinant representation for the field form factor which is well-adapted to numerical evaluation. The correlation function is then reconstructed to high accuracy for systems with finite but large numbers of particles, for a wide range of values of the interaction parameter. Our results are extensively discussed, in particular their specialization to the static case.

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