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.
Cited by 1
Paola Ruggiero et al., Large-scale thermalization, prethermalization, and impact of temperature in the quench dynamics of two unequal Luttinger liquids
Phys. Rev. Research 3, 013048 (2021) [Crossref]
Authors / Affiliation: mappings to Contributors and OrganizationsSee all Organizations.
- Engineering and Physical Sciences Research Council [EPSRC]
- VSB Fonds (through Organization: VSBfonds)