### Abstract

We construct soliton solutions for a self-attractive Bose-Einstein condensate trapped in a rotating optical lattice. The rotation pivot is set at a local maximum of the lattice potential. We demonstrate that fully localized stable solitons, containing N∼10,000 atoms, may be supported by the lattice, rotating along with it, if the angular velocity ω is taken below a critical value ωc (which is 10 kHz). A monotonously increasing dependence of ωc on N is found. In the regime of rapid rotation, the lattice potential is nearly tantamount to the axisymmetric Bessel potential, with a maximum at the center. The latter potential supports fundamental ring-shaped solitons, and also dipole states, which have a bipolar form of two adjacent ring solitons with opposite signs. Stability regions are found for both species (which is the first example of stable azimuthally uniform solitons in a self-focusing model with a radial potential). Unstable solitons of these types evolve into strongly localized nonrotating states. At smaller ω, they start to drift slowly, following the rotating lattice. The second critical value, ω= ωc (2), is found, below which the drifting solitons are destroyed. The rotating lattice supports no stable states in the interval of ωc <ω< ωc (2).

Original language | English |
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Article number | 013609 |

Journal | Physical Review A - Atomic, Molecular, and Optical Physics |

Volume | 75 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jan 25 2007 |

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### All Science Journal Classification (ASJC) codes

- Atomic and Molecular Physics, and Optics

### Cite this

*Physical Review A - Atomic, Molecular, and Optical Physics*,

*75*(1), [013609]. https://doi.org/10.1103/PhysRevA.75.013609

**Two-dimensional matter-wave solitons in rotating optical lattices.** / Sakaguchi, Hidetsugu; Malomed, Boris A.

Research output: Contribution to journal › Article

*Physical Review A - Atomic, Molecular, and Optical Physics*, vol. 75, no. 1, 013609. https://doi.org/10.1103/PhysRevA.75.013609

}

TY - JOUR

T1 - Two-dimensional matter-wave solitons in rotating optical lattices

AU - Sakaguchi, Hidetsugu

AU - Malomed, Boris A.

PY - 2007/1/25

Y1 - 2007/1/25

N2 - We construct soliton solutions for a self-attractive Bose-Einstein condensate trapped in a rotating optical lattice. The rotation pivot is set at a local maximum of the lattice potential. We demonstrate that fully localized stable solitons, containing N∼10,000 atoms, may be supported by the lattice, rotating along with it, if the angular velocity ω is taken below a critical value ωc (which is 10 kHz). A monotonously increasing dependence of ωc on N is found. In the regime of rapid rotation, the lattice potential is nearly tantamount to the axisymmetric Bessel potential, with a maximum at the center. The latter potential supports fundamental ring-shaped solitons, and also dipole states, which have a bipolar form of two adjacent ring solitons with opposite signs. Stability regions are found for both species (which is the first example of stable azimuthally uniform solitons in a self-focusing model with a radial potential). Unstable solitons of these types evolve into strongly localized nonrotating states. At smaller ω, they start to drift slowly, following the rotating lattice. The second critical value, ω= ωc (2), is found, below which the drifting solitons are destroyed. The rotating lattice supports no stable states in the interval of ωc <ω< ωc (2).

AB - We construct soliton solutions for a self-attractive Bose-Einstein condensate trapped in a rotating optical lattice. The rotation pivot is set at a local maximum of the lattice potential. We demonstrate that fully localized stable solitons, containing N∼10,000 atoms, may be supported by the lattice, rotating along with it, if the angular velocity ω is taken below a critical value ωc (which is 10 kHz). A monotonously increasing dependence of ωc on N is found. In the regime of rapid rotation, the lattice potential is nearly tantamount to the axisymmetric Bessel potential, with a maximum at the center. The latter potential supports fundamental ring-shaped solitons, and also dipole states, which have a bipolar form of two adjacent ring solitons with opposite signs. Stability regions are found for both species (which is the first example of stable azimuthally uniform solitons in a self-focusing model with a radial potential). Unstable solitons of these types evolve into strongly localized nonrotating states. At smaller ω, they start to drift slowly, following the rotating lattice. The second critical value, ω= ωc (2), is found, below which the drifting solitons are destroyed. The rotating lattice supports no stable states in the interval of ωc <ω< ωc (2).

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U2 - 10.1103/PhysRevA.75.013609

DO - 10.1103/PhysRevA.75.013609

M3 - Article

AN - SCOPUS:33846390269

VL - 75

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 1

M1 - 013609

ER -