Exact result for the polaron mass in a one-dimensional Bose gas

Abstract

We study the polaron quasiparticle in a one-dimensional Bose gas. In the integrable case described by the Yang-Gaudin model, we derive an exact result for the polaron mass in the thermodynamic limit. It is expressed in terms of the derivative with respect to the density of the ground-state energy per particle of the Bose gas without the polaron. This enables us to find high-order power series for the polaron mass in the regimes of weak and strong interaction.

4 pages, 1 figure

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• Observation of Fermi Polarons in a Tunable Fermi Liquid of Ultracold Atoms
• Attractive and repulsive Fermi polarons in two dimensions
• Spin waves in a one-dimensional spinor Bose gas
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Cited by in corpus (3)

• Method of difference-differential equations for some Bethe ansatz solvable models
• Local spectral density of an interacting one-dimensional Bose gas with an impurity
• Dispersion relation of a polaron in the Yang-Gaudin Bose gas