Journal article
Self-consistent time-dependent harmonic approximation for the sine-Gordon model out of equilibrium
- Abstract:
- We derive a self-consistent time-dependent harmonic approximation for the quantum sine-Gordon model out of equilibrium and apply the method to the dynamics of tunnel-coupled one-dimensional Bose gases. We determine the time evolution of experimentally relevant observables and in particular derive results for the probability distribution of subsystem phase fluctuations. We investigate the regime of validity of the approximation by applying it to the simpler case of a nonlinear harmonic oscillator, for which numerically exact results are available. We complement our self-consistent harmonic approximation by exact results at the free fermion point of the sine-Gordon model.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, pdf, 5.8MB, Terms of use)
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- Publisher copy:
- 10.1088/1742-5468/ab3579
Authors
+ Muller Foundation
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- Funding agency for:
- Van Nieuwkerk, Y
- Grant:
- Buckee Scholarship
+ VSB Foundation
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- Funding agency for:
- Van Nieuwkerk, Y
- Grant:
- Buckee Scholarship
+ Merton College, Oxford
More from this funder
- Funding agency for:
- Van Nieuwkerk, Y
- Grant:
- Buckee Scholarship
- Publisher:
- IOP Publishing
- Journal:
- Journal of Statistical Mechanics: Theory and Experiment More from this journal
- Volume:
- 2019
- Issue:
- August
- Article number:
- 084012
- Publication date:
- 2019-08-21
- Acceptance date:
- 2019-06-28
- DOI:
- EISSN:
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1742-5468
- Language:
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English
- Keywords:
- Pubs id:
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pubs:1036804
- UUID:
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uuid:632e2b0e-93d2-4ce3-a9f5-dcf6e14e5af2
- Local pid:
-
pubs:1036804
- Source identifiers:
-
1036804
- Deposit date:
-
2019-08-01
Terms of use
- Copyright holder:
- IOP Publishing Ltd and SISSA Medialab srl
- Copyright date:
- 2019
- Rights statement:
- Copyright © 2019 IOP Publishing Ltd and SISSA Medialab srl.
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from IOP Publishing at http://dx.doi.org/10.1088/1742-5468/ab3579
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