Mobile impurities in integrable models

Andrew S. Campbell, Dimitri M. Gangardt

SciPost Phys. 3, 015 (2017) · published 22 August 2017


We use a mobile impurity or depleton model to study elementary excitations in one-dimensional integrable systems. For Lieb-Liniger and bosonic Yang-Gaudin models we express two phenomenological parameters characterising renormalised interactions of mobile impurities with superfluid background: the number of depleted particles, $N$ and the superfluid phase drop $\pi J$ in terms of the corresponding Bethe Ansatz solution and demonstrate, in the leading order, the absence of two-phonon scattering resulting in vanishing rates of inelastic processes such as viscosity experienced by the mobile impurities

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Bethe Ansatz Integrability/integrable models Lieb-Liniger model Mobile impurities Viscosity Yang-Gaudin models

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