Mobile impurities in integrable models

Campbell, Andrew; Gangardt, Dimitri

doi:10.21468/SciPostPhys.3.2.015

SciPost Physics

Mobile impurities in integrable models

Andrew S. Campbell, Dimitri M. Gangardt

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

doi: 10.21468/SciPostPhys.3.2.015
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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 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

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.3.2.015
TI  - Mobile impurities in integrable models
PY  - 2017/08/22
UR  - https://www.scipost.org/SciPostPhys.3.2.015
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 3
IS  - 2
SP  - 015
A1  - Campbell, Andrew
AU  - Gangardt, Dimitri
AB  - 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
ER  -

@Article{10.21468/SciPostPhys.3.2.015,
	title={{Mobile impurities in integrable models}},
	author={Andrew S. Campbell and Dimitri M. Gangardt},
	journal={SciPost Phys.},
	volume={3},
	pages={015},
	year={2017},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.3.2.015},
	url={https://scipost.org/10.21468/SciPostPhys.3.2.015},
}

Cited by 7

Ontology / Topics

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

Authors / Affiliation: mappings to Contributors and Organizations

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¹ Andrew Campbell,
¹ Dimitri Gangardt

¹ University of Birmingham