### 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 (US) |
---|---|

Article number | 043046 |

Journal | New Journal of Physics |

Volume | 15 |

DOIs | |

State | Published - Apr 1 2013 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*New Journal of Physics*,

*15*, [043046]. https://doi.org/10.1088/1367-2630/15/4/043046

**Bound states of dipolar bosons in one-dimensional systems.** / Volosniev, A. G.; Armstrong, J. R.; Fedorov, D. V.; Jensen, A. S.; Valiente, M.; Zinner, N. T.

Research output: Contribution to journal › Article

*New Journal of Physics*, vol. 15, 043046. https://doi.org/10.1088/1367-2630/15/4/043046

}

TY - JOUR

T1 - Bound states of dipolar bosons in one-dimensional systems

AU - Volosniev, A. G.

AU - Armstrong, J. R.

AU - Fedorov, D. V.

AU - Jensen, A. S.

AU - Valiente, M.

AU - Zinner, N. T.

PY - 2013/4/1

Y1 - 2013/4/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84877821104&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84877821104&partnerID=8YFLogxK

U2 - 10.1088/1367-2630/15/4/043046

DO - 10.1088/1367-2630/15/4/043046

M3 - Article

AN - SCOPUS:84877821104

VL - 15

JO - New Journal of Physics

JF - New Journal of Physics

SN - 1367-2630

M1 - 043046

ER -