## Abstract

We consider one-dimensional tubes containing bosonic polar molecules. The long-range dipole-dipole interactions act both within a single tube and between different tubes. We consider arbitrary values of the externally aligned dipole moments with respect to the symmetry axis of the tubes. The few-body structures in this geometry are determined as a function of polarization angles and dipole strength by using both essentially exact stochastic variational methods and the harmonic approximation. The main focus is on the three-, four- and five-body problems in two or more tubes. Our results indicate that in the weakly coupled limit the intertube interaction is similar to a zero-range term with a suitable rescaled strength. This allows us to address the corresponding many-body physics of the system by constructing a model where bound chains with one molecule in each tube are the effective degrees of freedom. This model can be mapped onto one-dimensional Hamiltonians for which exact solutions are known.

Original language | English |
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Article number | 043046 |

Number of pages | 20 |

Journal | New Journal of Physics |

Volume | 15 |

DOIs | |

Publication status | Published - Apr 2013 |

## Keywords

- INTERACTING BOSE-GAS
- POLAR-MOLECULES
- GROUND-STATE
- PHASE
- POTENTIALS
- FERMIONS
- NUCLEI
- LAYERS