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On the low-energy description for tunnel-coupled one-dimensional Bose gases
by Yuri D van Nieuwkerk, Fabian H L Essler
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Submission summary
| Authors (as registered SciPost users): | Fabian Essler · Yuri Daniel van Nieuwkerk |
| Submission information | |
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| Preprint Link: | scipost_202005_00003v7 (pdf) |
| Date accepted: | 2020-07-31 |
| Date submitted: | 2020-07-13 02:00 |
| 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 a model of two tunnel-coupled one-dimensional Bose gases with hard-wall boundary conditions. Bosonizing the model and retaining only the most relevant interactions leads to a decoupled theory consisting of a quantum sine-Gordon model and a free boson, describing respectively the antisymmetric and symmetric combinations of the phase fields. We go beyond this description by retaining the perturbation with the next smallest scaling dimension. This perturbation carries conformal spin and couples the two sectors. We carry out a detailed investigation of the effects of this coupling on the non-equilibrium dynamics of the model. We focus in particular on the role played by spatial inhomogeneities in the initial state in a quantum quench setup.
List of changes
-We have added the more recent references on full counting statistics suggested by the referee.
-We have corrected the typos mentioned by the referee.
-We have taken up the referee's advice to be more explicit in the Introduction about the fact that our suggested mixing term and hard-wall boundary conditions fail to capture the strong damping seen in experiment. To this end, we have added three sentences to the penultimate paragraph of the Introduction.
-We have added five sentences to the fourth paragraph of the Introduction to discuss the time scale over which the SCTDHA is expected to be accurate.
-We have added a sentence to the last paragraph of the Conclusion, mentioning the perspective to include the effects of a more realistic potential. We have added Refs. 79-84 to support this.
Published as SciPost Phys. 9, 025 (2020)