Abstract
We consider dipolar interactions between heteronuclear molecules in low-dimensional geometries. The setup consists of two one-dimensional tubes. We study the stability of possible few-body complexes in the regime of repulsive intratube interaction, where the binding arises from intertube attraction. The stable dimers, trimers, and tetramers are found and we discuss their properties for both bosonic and fermionic molecules. To observe these complexes we propose an optical nondestructive detection scheme that enables in situ observation of the creation and dissociation of the few-body complexes. A detailed description of the expected signal of such measurements is given using the numerically calculated wave functions of the bound states. We also discuss implications on the many-body physics of dipolar systems in tubular geometries, as well as experimental issues related to the external harmonic confinement along the tube and the prospect of applying an in-tube optical lattice to increase the effective dipole strength.
Highlights
Ultracold polar molecules with anisotropic long-range interactions have generated a lot of interest recently
We focus on the regime where intratube interactions are repulsive so that the binding interactions of the few-body states comes from the intertube attractions
In this work we analyzed few-body complexes formed of dipolar molecules confined in two one-dimensional tubes
Summary
Ultracold polar molecules with anisotropic long-range interactions have generated a lot of interest recently. In order to overcome this problem, molecules can either be dressed by ac-external fields leading to strongly repulsive interactions at small interparticle distances or optical lattices such that particles cannot approach each other in the head-to-tail direction [11,12,13,14]. We discuss various extensions of our work including the case of parallel layers instead of tubes, multi-layer or multi-tube systems and effects of few-body bound states in the many body problem corresponding to a finite particle density. Since particles in different tubes are always separated by at least the intertube distance ∆ the dependence of V1(x) on the transverse confinement is of order 1/λ2 and is neglected in this paper. In a bound state all distances have to be finite
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