Mobile impurities in integrable models

Andrew S. Campbell; Dimitri M. Gangardt

doi:10.21468/scipostphys.3.2.015

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arXiv · 1701.00810

Mobile impurities in integrable models

Andrew S. Campbell·Dimitri M. Gangardt

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Abstract

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 inter- actions 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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Andrew S. Campbell, Dimitri M. Gangardt. 2016-12-21. Mobile impurities in integrable models. https://doi.org/10.21468/scipostphys.3.2.015

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