On the low-energy description for tunnel-coupled one-dimensional Bose gases
arXiv:2003.07873 · doi:10.21468/SciPostPhys.9.2.025
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.
27 pages, 12 figures
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Cited by in corpus (21)
- Hydrodynamics of weak integrability breaking
- A short introduction to Generalized Hydrodynamics
- thermalization, prethermalization and impact of the temperature in the quench dynamics of two unequal Luttinger liquids
- The sine-Gordon model from coupled condensates: a Generalized Hydrodynamics viewpoint
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- Josephson oscillations in split one-dimensional Bose gases
- Relaxation in an Extended Bosonic Josephson Junction
- Quantum sine-Gordon dynamics in coupled spin chains
- Quantum quenches in an interacting field theory: full quantum evolution vs. semi-classical approximations
- Many-body parametric resonances in the driven sine-Gordon model
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- Dissipation and fluctuations in elongated bosonic Josephson junctions
- Dynamics of thermalization of two tunnel-coupled one-dimensional quasicondensates
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- Duality between weak and strong interactions in quantum gases
- Out-of-equilibrium full counting statistics in Gaussian theories of quantum magnets
- Non-equilibrium time evolution in the sine-Gordon model revisited
- Measurement of total phase fluctuation in cold-atomic quantum simulators
- Sine-Gordon dynamics in spin transport
- Breaking of Huygens-Fresnel principle in inhomogeneous Tomonaga-Luttinger liquids