### 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 |
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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.

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

UR - http://www.scopus.com/inward/citedby.url?scp=85059677819&partnerID=8YFLogxK

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 -