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
Cited by 5
S. I. Mistakidis et al., Effective approach to impurity dynamics in one-dimensional trapped Bose gases
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Karol K. Kozlowski, Long-distance and large-time asymptotic behaviour of dynamic correlation functions in the massless regime of the XXZ spin-1/2 chain
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A. S. Dehkharghani et al., Coalescence of Two Impurities in a Trapped One-dimensional Bose Gas
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J. Settino et al., Exact Spectral Function of a Tonks-Girardeau Gas in a Lattice
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- 1 Andrew Campbell,
- 1 Dimitri Gangardt