TY - JOUR
T1 - Interfaces between Bose-Einstein and Tonks-Girardeau atomic gases
AU - Filatrella, Giovanni
AU - Malomed, Boris A.
N1 - Publisher Copyright:
© 2016 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.
PY - 2016/2/3
Y1 - 2016/2/3
N2 - 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.
AB - 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.
KW - Thomas-Fermi approximation
KW - colloidal waveguide
KW - cubic-quintic nonlinearity
KW - dark-bright soliton
KW - domain wall
KW - immiscibility
KW - mean-field approximation
UR - http://www.scopus.com/inward/record.url?scp=84960171957&partnerID=8YFLogxK
U2 - 10.1088/1367-2630/18/2/025005
DO - 10.1088/1367-2630/18/2/025005
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:84960171957
SN - 1367-2630
VL - 18
JO - New Journal of Physics
JF - New Journal of Physics
IS - 2
M1 - 025005
ER -