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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 registered SciPost users): | Fabian Essler · Jörg Schmiedmayer · Yuri Daniel van Nieuwkerk |
| Submission information | |
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| Preprint Link: | scipost_202011_00012v2 (pdf) |
| Date accepted: | 2021-03-02 |
| Date submitted: | 2021-02-15 08:25 |
| Submitted by: | van Nieuwkerk, Yuri Daniel |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
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.
Author comments upon resubmission
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.
Published as SciPost Phys. 10, 090 (2021)