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 4
S. I. Mistakidis et al., Effective approach to impurity dynamics in one-dimensional trapped Bose gases
Phys. Rev. A 100, 013619 (2019) [Crossref]
Alvise Bastianello et al., Nonequilibrium Steady State Generated by a Moving Defect: The Supersonic Threshold
Phys. Rev. Lett. 120, 060602 (2018) [Crossref]
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
Journal of Mathematical Physics 60, 073303 (2019) [Crossref]
A. S. Dehkharghani et al., Coalescence of Two Impurities in a Trapped One-dimensional Bose Gas
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- 1 Andrew Campbell,
- 1 Dimitri Gangardt