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Josephson oscillations in split one-dimensional Bose gases

by Yuri D. van Nieuwkerk, Jörg Schmiedmayer and Fabian H.L. Essler

This Submission thread is now published as

Submission summary

Authors (as Contributors): Fabian Essler · Jörg Schmiedmayer · Yuri Daniel van Nieuwkerk
Submission information
Preprint link: scipost_202011_00012v2
Date accepted: 2021-03-02
Date submitted: 2021-02-15 08:25
Submitted by: van Nieuwkerk, Yuri Daniel
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Condensed Matter Physics - Theory
  • Quantum Physics
Approach: Theoretical


We consider the non-equilibrium dynamics of a weakly interacting Bose gas tightly confined to a highly elongated double well potential. We use a self-consistent time-dependent Hartree–Fock approximation in combination with a projection of the full three-dimensional theory to several coupled one-dimensional channels. This allows us to model the time-dependent splitting and phase imprinting of a gas initially confined to a single quasi one-dimensional potential well and obtain a microscopic description of the ensuing damped Josephson oscillations.

Published as SciPost Phys. 10, 090 (2021)

Author comments upon resubmission

We thank the referees for their very helpful comments. We have responded to their questions and comments in a point-by-point manner in the pdf documents uploaded at the submission page.

List of changes

-Expanded details of the transverse potential in Sec. 5.1 (Eqs. 54 and 55)
-Added a comment about the reemergence of the oscillations and the relevant time scales (bottom p. 20)
-Added a comment about the time scale of the damping vs the time scale of the gases' breathing motion (top of p. 22).
-Added a comment explaining the relevance of the equations that go beyond SCHF in Sec. 7.
-Elaborated on the useful applications of our work to the modelling of the experiments using (perturbations of) a sine-Gordon model.

Reports on this Submission

Anonymous Report 2 on 2021-2-24 (Invited Report)


I am grateful for the authors’ clarifications and find the answers to my questions, as well as the modification in the paper adequate. I therefore recommend this work for publication.

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Anonymous Report 1 on 2021-2-17 (Invited Report)


I have read the resubmitted version of the manuscript, together with the authors' reply to my previous report.
I am fully satisfied with the authors' answers and changes, therefore I can recommend this paper for publication.

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

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