Bound states of dipolar bosons in one-dimensional systems

• Published in: New journal of physics Vol. 15; no. 4; pp. 43046 - 20
• Main Authors: Volosniev, A G, Armstrong, J R, Fedorov, D V, Jensen, A S, Valiente, M, Zinner, N T
• Format: Journal Article
• Language: English
• Published: IOP Publishing 26.04.2013
• Subjects: Angles (geometry); Degrees of freedom; Exact solutions; Harmonics; Mathematical analysis; Strength; Tubes; Variational methods
• ISSN: 1367-2630; 1367-2630
• DOI: 10.1088/1367-2630/15/4/043046

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.