### Abstract

Vortex streets are formed from sheared initial conditions in classical fluids even without viscosity, which is called the Kelvin-Helmholtz instability. We demonstrate that similar vortex streets are generated from sheared initial conditions by the direct numerical simulation of the Gross-Pitaevskii (GP) equation which describes the dynamics of the Bose-Einstein condensates. Furthermore, we show the vortex-lattice formation from sheared initial conditions analogous to the rigid-body rotation in the GP equation under a rotating harmonic potential. The vortex-lattice formation by the dynamical instability in the system without energy dissipation differs from the vortex-lattice formation process by the imaginary time evolution of the GP equation where the lowest energy state is obtained.

Original language | English |
---|---|

Article number | 055602 |

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

Volume | 82 |

Issue number | 5 |

DOIs | |

Publication status | Published - Dec 6 2010 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Atomic and Molecular Physics, and Optics

### Cite this

**Vortex lattices generated by the Kelvin-Helmholtz instability in the Gross-Pitaevskii equation.** / Ohta, A.; Kashiwa, R.; Sakaguchi, Hidetsugu.

Research output: Contribution to journal › Article

*Physical Review A - Atomic, Molecular, and Optical Physics*, vol. 82, no. 5, 055602. https://doi.org/10.1103/PhysRevA.82.055602

}

TY - JOUR

T1 - Vortex lattices generated by the Kelvin-Helmholtz instability in the Gross-Pitaevskii equation

AU - Ohta, A.

AU - Kashiwa, R.

AU - Sakaguchi, Hidetsugu

PY - 2010/12/6

Y1 - 2010/12/6

N2 - Vortex streets are formed from sheared initial conditions in classical fluids even without viscosity, which is called the Kelvin-Helmholtz instability. We demonstrate that similar vortex streets are generated from sheared initial conditions by the direct numerical simulation of the Gross-Pitaevskii (GP) equation which describes the dynamics of the Bose-Einstein condensates. Furthermore, we show the vortex-lattice formation from sheared initial conditions analogous to the rigid-body rotation in the GP equation under a rotating harmonic potential. The vortex-lattice formation by the dynamical instability in the system without energy dissipation differs from the vortex-lattice formation process by the imaginary time evolution of the GP equation where the lowest energy state is obtained.

AB - Vortex streets are formed from sheared initial conditions in classical fluids even without viscosity, which is called the Kelvin-Helmholtz instability. We demonstrate that similar vortex streets are generated from sheared initial conditions by the direct numerical simulation of the Gross-Pitaevskii (GP) equation which describes the dynamics of the Bose-Einstein condensates. Furthermore, we show the vortex-lattice formation from sheared initial conditions analogous to the rigid-body rotation in the GP equation under a rotating harmonic potential. The vortex-lattice formation by the dynamical instability in the system without energy dissipation differs from the vortex-lattice formation process by the imaginary time evolution of the GP equation where the lowest energy state is obtained.

UR - http://www.scopus.com/inward/record.url?scp=78649555152&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78649555152&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.82.055602

DO - 10.1103/PhysRevA.82.055602

M3 - Article

AN - SCOPUS:78649555152

VL - 82

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 5

M1 - 055602

ER -