Interfaces between Bose-Einstein and Tonks-Girardeau atomic gases

Giovanni Filatrella, Boris A. Malomed*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We consider one-dimensional mixtures of an atomic Bose-Einstein condensate (BEC) and Tonks-Girardeau (TG) gas. The mixture is modeled by a coupled system of the Gross-Pitaevskii equation for the BEC and the quintic nonlinear Schrödinger 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.

Original languageEnglish
Article number025005
JournalNew Journal of Physics
Volume18
Issue number2
DOIs
StatePublished - 3 Feb 2016

Keywords

  • Thomas-Fermi approximation
  • colloidal waveguide
  • cubic-quintic nonlinearity
  • dark-bright soliton
  • domain wall
  • immiscibility
  • mean-field approximation

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