### Abstract

Original language | English |
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Article number | 175302 |

Number of pages | 10 |

Journal | Journal of Physics B: Atomic, Molecular and Optical Physics |

Volume | 51 |

Early online date | 26 Jul 2018 |

DOIs | |

Publication status | Published - 16 Aug 2018 |

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### Keywords

- Bose Einstein condensate
- variational approach
- Gross-Pitaevskii equation

### Cite this

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**Time-dependent variational approach for Bose-Einstein condensates with nonlocal interaction.** / Haas, Fernando; Eliasson, Bengt.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Time-dependent variational approach for Bose-Einstein condensates with nonlocal interaction

AU - Haas, Fernando

AU - Eliasson, Bengt

PY - 2018/8/16

Y1 - 2018/8/16

N2 - The nonlinear dynamics of self-bound Bose-Einstein matter waves under the action of an attractive nonlocal and a repulsive local interaction is analyzed by means of a time-dependent variational formalism. The mean-field model described by the Gross-Pitaevskii equation is reduced to a single second-order conservative ordinary differential equation admitting a potential function. The stable fixed points and the linear oscillation frequencies of the breather modes are determined. The chosen nonlocal interactions are a Gaussian-shaped potential and a van der Waals-like potential. The variational solutions are compared with direct numerical simulations of the Gross-Pitaevskii equation, for each of these nonlocalities. The spatio-temporal frequency spectra of linear waves are also determined.

AB - The nonlinear dynamics of self-bound Bose-Einstein matter waves under the action of an attractive nonlocal and a repulsive local interaction is analyzed by means of a time-dependent variational formalism. The mean-field model described by the Gross-Pitaevskii equation is reduced to a single second-order conservative ordinary differential equation admitting a potential function. The stable fixed points and the linear oscillation frequencies of the breather modes are determined. The chosen nonlocal interactions are a Gaussian-shaped potential and a van der Waals-like potential. The variational solutions are compared with direct numerical simulations of the Gross-Pitaevskii equation, for each of these nonlocalities. The spatio-temporal frequency spectra of linear waves are also determined.

KW - Bose Einstein condensate

KW - variational approach

KW - Gross-Pitaevskii equation

UR - http://iopscience.iop.org/article/10.1088/1361-6455/aad629/meta

U2 - 10.1088/1361-6455/aad629

DO - 10.1088/1361-6455/aad629

M3 - Article

VL - 51

JO - Journal of Physics B: Atomic, Molecular and Optical Physics

JF - Journal of Physics B: Atomic, Molecular and Optical Physics

SN - 0953-4075

M1 - 175302

ER -