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

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.

Automated summary

We study the polaron quasiparticle in a one-dimensional Bose gas using the Yang-Gaudin model, deriving an exact result for the polaron mass in the thermodynamic limit. The polaron mass 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, allowing for high-order power series calculations in weak and strong interaction regimes.