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

Jean-Sebastien Caux·Pasquale Calabrese·Nikita A. Slavnov
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Abstract

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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Jean-Sebastien Caux, Pasquale Calabrese, Nikita A. Slavnov. 2006-11-13. One-particle dynamical correlations in the one-dimensional Bose gas. https://doi.org/10.1088/1742-5468%2F2007%2F01%2Fp01008

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