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Mobile impurities in integrable models

by Andrew S. Campbell, Dimitri M. Gangardt

Submission summary

As Contributors: Dimitri Gangardt
Arxiv Link: http://arxiv.org/abs/1701.00810v3
Date accepted: 2017-07-21
Date submitted: 2017-06-16
Submitted by: Gangardt, Dimitri
Submitted to: SciPost Physics
Discipline: Physics
Subject area: Mathematical Physics
Approach: Theoretical

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 $\pi J$ 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

Ontology / Topics

See full Ontology or Topics database.

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

Published as SciPost Phys. 3, 015 (2017)



Author comments upon resubmission

Dear editor,

We would like to resubmit our manuscript after some minor revisions.
The revised version is now available at http://arxiv.org/abs/1701.00810v3.

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

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
text.

- Reference [38] added.

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


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

Strengths

see previous report

Weaknesses

no new comments

Report

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

Strengths

see previous report

Weaknesses

No obvious weaknesses

Report

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

Strengths

No stregths

Weaknesses

No weakness

Report

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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