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.

References in corpus (12)

• Non-equilibrium coherence dynamics in one-dimensional Bose gases
• Exact coherent states of a harmonically confined Tonks-Girardeau gas
• Crystallization of strongly interacting photons in a nonlinear optical fiber
• Fermionization in an expanding 1D gas of hard-core bosons
• Ground-state properties of one-dimensional ultracold Bose gases in a hard-wall trap
• Fermi-Bose transformation for the time-dependent Lieb-Liniger gas
• Free expansion of impenetrable bosons on one-dimensional optical lattices
• Free expansion of a Lieb-Liniger gas: Asymptotic form of the wave functions
• Excitation spectrum of bosons in a finite one-dimensional circular waveguide via the Bethe ansatz
• Momentum distribution of a freely expanding Lieb-Liniger gas
• Matter-wave diffraction in time with a linear potential
• Analytic solutions of the 1D finite coupling delta function Bose gas

Cited by in corpus (1)

• Perturbative correction to the ground state properties of one-dimensional strongly interacting bosons in a harmonic trap