Mobile impurities in integrable models

Dimitri Gangardt, Andrew Campbell

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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 πJ 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
Original languageEnglish
Article number015
JournalSciPost Physics
Volume3
Issue number2
DOIs
Publication statusPublished - 22 Aug 2017

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