TY - JOUR

T1 - Soliton lattices in the Gross–Pitaevskii equation with nonlocal and repulsive coupling

AU - Sakaguchi, Hidetsugu

N1 - Funding Information:
This work is supported by a Grant-in-Aid for Scientific Research (NO. 18K03462 ) from the Ministry of Education, Culture, Sports, Science and Technology of Japan.
Publisher Copyright:
© 2019 Elsevier B.V.

PY - 2019/3/25

Y1 - 2019/3/25

N2 - Spatially-periodic patterns are studied in nonlocally coupled Gross–Pitaevskii equation. We show first that spatially periodic patterns appear in a model with the dipole–dipole interaction. Next, we study a model with a finite-range coupling, and show that a repulsively coupled system is closely related with an attractively coupled system and its soliton solution becomes a building block of the spatially-periodic structure. That is, the spatially-periodic structure can be interpreted as a soliton lattice. An approximate form of the soliton is given by a variational method. Furthermore, the effects of the rotating harmonic potential and spin-orbit coupling are numerically studied.

AB - Spatially-periodic patterns are studied in nonlocally coupled Gross–Pitaevskii equation. We show first that spatially periodic patterns appear in a model with the dipole–dipole interaction. Next, we study a model with a finite-range coupling, and show that a repulsively coupled system is closely related with an attractively coupled system and its soliton solution becomes a building block of the spatially-periodic structure. That is, the spatially-periodic structure can be interpreted as a soliton lattice. An approximate form of the soliton is given by a variational method. Furthermore, the effects of the rotating harmonic potential and spin-orbit coupling are numerically studied.

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U2 - 10.1016/j.physleta.2018.12.036

DO - 10.1016/j.physleta.2018.12.036

M3 - Article

AN - SCOPUS:85059677819

VL - 383

SP - 1132

EP - 1137

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 11

ER -