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 -