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Mobile impurities in integrable models

by Andrew S. Campbell, Dimitri M. Gangardt

This Submission thread is now published as

Submission summary

Authors (as registered SciPost users): Dimitri Gangardt
Submission information
Preprint Link:  (pdf)
Date accepted: 2017-07-21
Date submitted: 2017-06-16 02:00
Submitted by: Gangardt, Dimitri
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Atomic, Molecular and Optical Physics - Theory
  • Mathematical Physics
  • Quantum Physics
Approach: Theoretical


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

Author comments upon resubmission

Dear editor,

We would like to resubmit our manuscript after some minor revisions.
The revised version is now available at

We hope that the revised manuscript is now suitable for publication in

Yours sincerely,

Andrew S. Campbell
Dimitri M. Gangardt

List of changes

- The phrase "The equivalence of these results to those obtained in ..." is
removed and the preceding sentence is modified.

- Yang-Gaudin model is replaced by "bosonic Yang-Gaudin model" everywhere in the

- Reference [38] added.

- We have modified the sentence around Eq. (60).

Published as SciPost Phys. 3, 015 (2017)

Reports on this Submission

Anonymous Report 3 on 2017-7-9 (Invited Report)

  • Cite as: Anonymous, Report on arXiv:1701.00810v3, delivered 2017-07-08, doi: 10.21468/SciPost.Report.185


see previous report


no new comments


The paper can be published in its present form.

Requested changes

No changes.

  • validity: ok
  • significance: ok
  • originality: ok
  • clarity: ok
  • formatting: acceptable
  • grammar: excellent

Anonymous Report 2 on 2017-6-28 (Invited Report)

  • Cite as: Anonymous, Report on arXiv:1701.00810v3, delivered 2017-06-28, doi: 10.21468/SciPost.Report.178


see previous report


No obvious weaknesses


The paper can be published in its present form.

Requested changes


  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: perfect
  • grammar: perfect

Anonymous Report 1 on 2017-6-27 (Invited Report)

  • Cite as: Anonymous, Report on arXiv:1701.00810v3, delivered 2017-06-27, doi: 10.21468/SciPost.Report.177


No stregths


No weakness


I have no remarks to the new version of the manuscript and recommend it for publication.

Requested changes

No requested changes

  • validity: high
  • significance: high
  • originality: good
  • clarity: high
  • formatting: excellent
  • grammar: excellent

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