TY - JOUR
T1 - Domain-wall crosses and propellers in binary Bose-Einstein condensates
AU - Malomed, B. A.
AU - Nistazakis, H. E.
AU - Kevrekidis, P. G.
AU - Frantzeskakis, D. J.
N1 - Funding Information:
B.A.M. appreciates a partial support from the Israel Science Foundation through the Excellence-Research-Center grant no. 8006/03. PGK gratefully acknowledges support from NSF-CAREER, the Eppley Foundation for Research and from NSF-DMS-0204585.
PY - 2005/6/24
Y1 - 2005/6/24
N2 - For two-dimensional condensates, we introduce patterns formed by intersection of domain-walls (DWs) between immiscible species. Both symmetric and asymmetric cases are investigated, with equal or different numbers N1,2 of atoms in the two species. The case of a rotating trap is considered too. We identify stability regions of the fundamental quiescent "DW crosses" and rotating "DW propellers", both symmetric and antisymmetric ones. In particular, the propellers are stable in a finite interval of the rotation frequencies, and asymmetric structures are stable in a finite interval of the values of N1/N2. The evolution of unstable patterns is also investigated. All the higher-order patterns, produced by the intersection of more than two DWs, are found to be unstable, rearranging themselves into the fundamental ones.
AB - For two-dimensional condensates, we introduce patterns formed by intersection of domain-walls (DWs) between immiscible species. Both symmetric and asymmetric cases are investigated, with equal or different numbers N1,2 of atoms in the two species. The case of a rotating trap is considered too. We identify stability regions of the fundamental quiescent "DW crosses" and rotating "DW propellers", both symmetric and antisymmetric ones. In particular, the propellers are stable in a finite interval of the rotation frequencies, and asymmetric structures are stable in a finite interval of the values of N1/N2. The evolution of unstable patterns is also investigated. All the higher-order patterns, produced by the intersection of more than two DWs, are found to be unstable, rearranging themselves into the fundamental ones.
KW - Bose-Einstein condensation
KW - Domain-wall
KW - Matter waves
KW - Soliton
KW - Stability
UR - http://www.scopus.com/inward/record.url?scp=19044398884&partnerID=8YFLogxK
U2 - 10.1016/j.matcom.2005.01.013
DO - 10.1016/j.matcom.2005.01.013
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.conferencearticle???
AN - SCOPUS:19044398884
SN - 0378-4754
VL - 69
SP - 400
EP - 412
JO - Mathematics and Computers in Simulation
JF - Mathematics and Computers in Simulation
IS - 3-4
T2 - Nonlinear Waves: Computation and Theory III
Y2 - 7 April 2003 through 10 April 2003
ER -