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Gap Solitons in a Spin-Orbit-Coupled Bose-Einstein Condensate

Yaroslav V. KartashovICFO-Institut de Ciencies Fotoniques and Universitat Politecnica de Catalunya, 08860 Castelldefels (Barcelona), SpainV. V. KonotopDepartamento de Física, Faculdade de Ciências and Centro de Física Teórica e Computacional Universidade de Lisboa, Avenida Professor Gama Pinto 2, Lisboa 1649-003, PortugalF. Kh. AbdullaevInstituto de Física Teórica, Universidade Estadual Paulista, 01140-070 Sao Paulo, Brasil
2013en
ABI

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We report a diversity of stable gap solitons in a spin-orbit-coupled Bose-Einstein condensate subject to a spatially periodic Zeeman field. It is shown that the solitons can be classified by the main physical symmetries they obey, i.e., symmetries with respect to parity (P), time (T), and internal degree of freedom, i.e., spin (C), inversions. The conventional gap and gap-stripe solitons are obtained in lattices with different parameters. It is shown that solitons of the same type but obeying different symmetries can exist in the same lattice at different spatial locations. PT and CPT symmetric solitons have antiferromagnetic structure and are characterized, respectively, by nonzero and zero total magnetizations.

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