title: Fundamental, multipole, and half-vortex gap solitons in spin-orbit coupled Bose-Einstein condensates.
abstract: Using the parity and time reversal symmetries of a two-dimensional spin-orbit coupled Bose-Einstein condensate in a lattice created by the Zeeman field, we identify and find numerically various families of localized solutions, including multipole and half-vortex solitons. The obtained solutions may exist at any direction of the gauge field with respect to the lattice and can be found either in finite gaps (for repulsive interatomic interactions) or in a semi-infinite gap (for attractive interactions). The existence of half-vortices requires higher symmetry (the reflection with respect to the field direction). Stability of these modes makes them feasible for experimental observation.
authors.affiliation: ICFO-Institut de Ciencies Fotoniques and Universitat Politecnica de Catalunya, 08860 Castelldefels (Barcelona), Spain.
authors.forename: Valery E
authors.initials: VE
authors.lastname: Lobanov
authors.affiliation: ICFO-Institut de Ciencies Fotoniques and Universitat Politecnica de Catalunya, 08860 Castelldefels (Barcelona), Spain and Institute of Spectroscopy, Russian Academy of Sciences, Troitsk, Moscow Region 142190, Russia.
authors.forename: Yaroslav V
authors.initials: YV
authors.lastname: Kartashov
authors.affiliation: Centro de Física Teórica e Computacional, Faculdade de Ciências, Universidade de Lisboa, Avenida Professor Gama Pinto 2, Lisboa 1649-003, Portugal and Departamento de Física, Faculdade de Ciências, Universidade de Lisboa, Campo Grande, Edifício C8, Lisboa 1749-016, Portugal.
authors.forename: Vladimir V
authors.initials: VV
authors.lastname: Konotop