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arXiv · 1005.3660

Lieb-Liniger gas in a constant force potential

D. Jukić·S. Galić·R. Pezer·H. Buljan
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Abstract

We use Gaudin's Fermi-Bose mapping operator to calculate exact solutions for the Lieb-Liniger model in a linear (constant force) potential (the constructed exact stationary solutions are referred to as the Lieb-Liniger-Airy wave functions). The ground state properties of the gas in the wedge-like trapping potential are calculated in the strongly interacting regime by using Girardeau's Fermi-Bose mapping and the pseudopotential approach in the $1/c$-approximation ($c$ denotes the strength of the interaction). We point out that quantum dynamics of Lieb-Liniger wave packets in the linear potential can be calculated by employing an $N$-dimensional Fourier transform as in the case of free expansion.

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D. Jukić, S. Galić, R. Pezer, H. Buljan. 2010-08-12. Lieb-Liniger gas in a constant force potential. https://doi.org/10.1103/physreva.82.023606

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