Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 1132-1137 |
| Number of pages | 6 |
| Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |
| Volume | 383 |
| Issue number | 11 |
| DOIs | |
| Publication status | Published - Mar 25 2019 |
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All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
Cite this
Soliton lattices in the Gross–Pitaevskii equation with nonlocal and repulsive coupling. / Sakaguchi, Hidetsugu.
In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 383, No. 11, 25.03.2019, p. 1132-1137.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Soliton lattices in the Gross–Pitaevskii equation with nonlocal and repulsive coupling
AU - Sakaguchi, Hidetsugu
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.
UR - http://www.scopus.com/inward/record.url?scp=85059677819&partnerID=8YFLogxK
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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 -