TY - JOUR
T1 - One- and two-dimensional solitons in PT-symmetric systems emulating spin-orbit coupling
AU - Sakaguchi, Hidetsugu
AU - Malomed, Boris A.
PY - 2016/10
Y1 - 2016/10
N2 - Weintroduce a two-dimensional (2D) system which can be implemented in dual-core planar optical couplers with the Kerr nonlinearity in its cores, making it possible to blend the effects of PT symmetry, represented by the balanced linear gain and loss in the two cores, and spin-orbit coupling (SOC), emulated by a spatially biased coupling between the cores. Families of 1D and 2D solitons and their stability boundaries are identified. In the 1D setting, the addition to the SOC terms leads, at first, to shrinkage of the stability area for PT -symmetric solitons, which is followed by its rapid expansion. 2D solitons have their stability region too, in spite of the simultaneous action of two major destabilizing factors, viz., the collapse driven by the Kerr nonlinearity, and a trend towards the spontaneous breakup of the gain-loss balance. In the limit of the SOC terms dominating over the intrinsic diffraction, the 1D system gives rise to a new model for gap solitons, which admits exact analytical solutions.
AB - Weintroduce a two-dimensional (2D) system which can be implemented in dual-core planar optical couplers with the Kerr nonlinearity in its cores, making it possible to blend the effects of PT symmetry, represented by the balanced linear gain and loss in the two cores, and spin-orbit coupling (SOC), emulated by a spatially biased coupling between the cores. Families of 1D and 2D solitons and their stability boundaries are identified. In the 1D setting, the addition to the SOC terms leads, at first, to shrinkage of the stability area for PT -symmetric solitons, which is followed by its rapid expansion. 2D solitons have their stability region too, in spite of the simultaneous action of two major destabilizing factors, viz., the collapse driven by the Kerr nonlinearity, and a trend towards the spontaneous breakup of the gain-loss balance. In the limit of the SOC terms dominating over the intrinsic diffraction, the 1D system gives rise to a new model for gap solitons, which admits exact analytical solutions.
KW - Kerr nonlinearity
KW - collapse
KW - gain and loss
KW - optical coupler
KW - soliton stability
KW - spatiotemporal solitons
KW - symmetry breaking
UR - http://www.scopus.com/inward/record.url?scp=84992690821&partnerID=8YFLogxK
U2 - 10.1088/1367-2630/18/10/105005
DO - 10.1088/1367-2630/18/10/105005
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AN - SCOPUS:84992690821
SN - 1367-2630
VL - 18
JO - New Journal of Physics
JF - New Journal of Physics
IS - 10
M1 - 105005
ER -