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Composite localized modes in discretized spin–orbit-coupled Bose–Einstein condensates

Petra P. BeličevVinča Institute of Nuclear Sciences, University of Belgrade, PO Box 522, 11001 Belgrade, SerbiaGoran GligorićVinča Institute of Nuclear Sciences, University of Belgrade, PO Box 522, 11001 Belgrade, SerbiaJovana PetrovićVinča Institute of Nuclear Sciences, University of Belgrade, PO Box 522, 11001 Belgrade, SerbiaAleksandra MaluckovVinča Institute of Nuclear Sciences, University of Belgrade, PO Box 522, 11001 Belgrade, SerbiaLjupčo HadžievskiVinča Institute of Nuclear Sciences, University of Belgrade, PO Box 522, 11001 Belgrade, SerbiaBoris A. MalomedDepartment of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel
2015en
ABI

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We introduce a discrete model for binary spin-orbit-coupled Bose-Einstein condensates trapped in a deep one-dimensional optical lattice. Two different types of the couplings are considered, with spatial derivatives acting inside each species, or between the species. The discrete system with inter-site couplings dominated by the spin-orbit coupling (SOC), while the usual hopping is negligible, emulates condensates composed of extremely heavy atoms, as well as those with opposite signs of the effective atomic masses in the two components. Stable localized composite states of miscible and immiscible types are constructed. The effect of the SOC on the immiscibility-miscibility transition in the localized complexes, which emulates the phase transition between insulating and conducting states in semiconductors, is studied.

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