Dynamics of the attractive 1D Bose gas: analytical treatment from integrability

Details Dynamics of the attractive 1D Bose gas: analytical treatment from integrability Dynamics of the attractive 1D Bose gas: analytical treatment from integrability

2007-07-27

arxiv.org/abs/0707.4115v1

J. Stat. Mech. (2007) P08032

Physics

Condensed Matter

Strongly Correlated Electrons

26 pages, 5 figures

Scientific paper

10.1088/1742-5468/2007/08/P08032

The physics of the attractive one-dimensional Bose gas (Lieb-Liniger model) is investigated with techniques based on the integrability of the system. Combining a knowledge of particle quasi-momenta to exponential precision in the system size with determinant representations of matrix elements of local operators coming from the Algebraic Bethe Ansatz, we obtain rather general analytical results for the zero-temperature dynamical correlation functions of the density and field operators. Our results thus provide quantitative predictions for possible future experiments in atomic gases or optical waveguides.

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