Interfaces between Bose-Einstein and Tonks-Girardeau atomic gases
arXiv:1512.07656 · doi:10.1088/1367-2630/18/2/025005
Abstract
We consider one-dimensional mixtures of an atomic Bose-Einstein condensate (BEC) and Tonks- Giradeau (TG) gas. The mixture is modeled by a coupled system of the Gross-Pitaevskii equation for the BEC and the quintic nonlinear Schroedinger equation for the TG component. An immiscibility condition for the binary system is derived in a general form. Under this condition, three types of BEC-TG interfaces are considered: domain walls (DWs) separating the two components; bubble-drops (BDs), in the form of a drop of one component immersed into the other (BDs may be considered as bound states of two DWs); and bound states of bright and dark solitons (BDSs). The same model applies to the copropagation of two optical waves in a colloidal medium. The results are obtained by means of systematic numerical analysis, in combination with analytical Thomas-Fermi approximations (TFAs). Using both methods, families of DW states are produced in a generic form. BD complexes exist solely in the form of a TG drop embedded into the BEC background. On the contrary, BDSs exist as bound states of TG bright and BEC dark components, and vice versa.
to appear in New J. Phys. (a focus issue on "strongly interacting quantum gases in one dimension")
References in corpus (11)
- Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
- A large magnetic storage ring for Bose-Einstein condensates
- Dark solitons in F=1 spinor Bose--Einstein condensate
- Soluble Models of Strongly Interacting Ultracold Gas Mixtures in Tight Waveguides
- Spin waves in a one-dimensional spinor Bose gas
- Topological defect formation in quenched ferromagnetic Bose-Einstein condensates
- Families of spatial solitons in a two-channel waveguide with the cubic-quintic nonlinearity
- Solitons in Tonks-Girardeau gas with dipolar interactions
- Density-functional theory of two-component Bose gases in one-dimensional harmonic traps
- Domain-wall solutions of spinor Bose-Einstein condensates in an optical lattice
- Domain walls and bubble-droplets in immiscible binary Bose gases