Lieb-Liniger gas in a constant force potential

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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Cited by in corpus (6)

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• Loschmidt echo in one-dimensional interacting Bose gases
• Perturbative correction to the ground state properties of one-dimensional strongly interacting bosons in a harmonic trap
• Strongly interacting one-dimensional bosons in arbitrary-strength optical lattices: from Bose-Hubbard to sine-Gordon and beyond
• Free Fall of a Quantum Many-Body System
• Dynamics of one-dimensional quantum many-body systems in time-periodic linear potentials