Lieb-Liniger gas in a constant force potential

Details Lieb-Liniger gas in a constant force potential Lieb-Liniger gas in a constant force potential

2010-05-20

arxiv.org/abs/1005.3660v2

Phys. Rev. A 82, 023606 (2010)

Physics

Condensed Matter

Quantum Gases

Scientific paper

10.1103/PhysRevA.82.023606

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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