### Abstract

The recent experimental realization of cold polar molecules in the rotational and vibrational ground state opens the door to the study of a wealth of phenomena involving longrange interactions. By applying an optical lattice to a gas of cold polar molecules one can create a layered system of planar traps. Due to the long-range dipole-dipole interaction one expects a rich structure of bound complexes in this geometry. We study the bilayer case and determine the two-body bound-state properties as a function of the interaction strength. The results clearly show that a least one bound state will always be present in the system. In addition, bound states at zero energy show universal behavior and extend to very large radii. These results suggest that non-trivial bound complexes of more than two particles are likely in the bilayer and in more complicated chain structures in multilayer systems.

Original language | English (US) |
---|---|

Article number | 16001 |

Journal | EPL |

Volume | 91 |

Issue number | 1 |

DOIs | |

State | Published - Jul 1 2010 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*EPL*,

*91*(1), [16001]. https://doi.org/10.1209/0295-5075/91/16001

**Bound states and universality in layers of cold polar molecules.** / Armstrong, J. R.; Zinner, N. T.; Fedorov, D. V.; Jensen, A. S.

Research output: Contribution to journal › Article

*EPL*, vol. 91, no. 1, 16001. https://doi.org/10.1209/0295-5075/91/16001

}

TY - JOUR

T1 - Bound states and universality in layers of cold polar molecules

AU - Armstrong, J. R.

AU - Zinner, N. T.

AU - Fedorov, D. V.

AU - Jensen, A. S.

PY - 2010/7/1

Y1 - 2010/7/1

N2 - The recent experimental realization of cold polar molecules in the rotational and vibrational ground state opens the door to the study of a wealth of phenomena involving longrange interactions. By applying an optical lattice to a gas of cold polar molecules one can create a layered system of planar traps. Due to the long-range dipole-dipole interaction one expects a rich structure of bound complexes in this geometry. We study the bilayer case and determine the two-body bound-state properties as a function of the interaction strength. The results clearly show that a least one bound state will always be present in the system. In addition, bound states at zero energy show universal behavior and extend to very large radii. These results suggest that non-trivial bound complexes of more than two particles are likely in the bilayer and in more complicated chain structures in multilayer systems.

AB - The recent experimental realization of cold polar molecules in the rotational and vibrational ground state opens the door to the study of a wealth of phenomena involving longrange interactions. By applying an optical lattice to a gas of cold polar molecules one can create a layered system of planar traps. Due to the long-range dipole-dipole interaction one expects a rich structure of bound complexes in this geometry. We study the bilayer case and determine the two-body bound-state properties as a function of the interaction strength. The results clearly show that a least one bound state will always be present in the system. In addition, bound states at zero energy show universal behavior and extend to very large radii. These results suggest that non-trivial bound complexes of more than two particles are likely in the bilayer and in more complicated chain structures in multilayer systems.

UR - http://www.scopus.com/inward/record.url?scp=78751648063&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78751648063&partnerID=8YFLogxK

U2 - 10.1209/0295-5075/91/16001

DO - 10.1209/0295-5075/91/16001

M3 - Article

AN - SCOPUS:78751648063

VL - 91

JO - Europhysics Letters

JF - Europhysics Letters

SN - 0295-5075

IS - 1

M1 - 16001

ER -