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arXiv:1012.4957 · Journal of Physics B Atomic Molecular and Optical Physics

Bound dimers in bilayers of cold polar molecules

Artem G. Volosniev, Nikolaj Thomas Zinner, D V Fedorov, A S Jensen, B Wunsch

Published Jun 8, 2011• 34 citations

Abstract

The exploration of cold polar molecules in different geometries is a rapidly developing experimental and theoretical pursuit. Recently, the implementation of optical lattices has enabled confinement in stacks of planes, the number of which is also controllable. Here we consider the bound state structure of two polar molecules confined in two adjacent planes as function of the polarization angle of the dipole moment of the molecules. We prove analytically and present numerical evidence for the existence of bound states for arbitrary dipole moments and polarization directions in this two-dimensional geometry. The spatial structure of the bound states is dominated by two-dimensional s- and p-waves, where the latter exceeds 40 percent over a large range of polarization angles for intermediate or strong dipole strength. Finally, we consider the influence of the dimer bound states on the potential many-body ground-state of the system.

DOI: 10.1088/0953-4075/44/12/125301

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Particles with magnetic moment can be polarized, and rapidly rotated, employing a magnetic field such that the dipolar interaction among them changes sign, becoming antidipolar and thus isotropically attractive in a plane. Polar molecules can also be manipulated using microwave dressing fields to invert the sign of the dipole-dipole interaction. In this work, we study a two-dimensional system of antidipolar particles by calculating its equation of state and structural properties. The system behaves as a liquid even for scattering lengths significantly greater than the dipolar length. For large enough densities, the system transitions to a solid with one particle per lattice site via a first-order phase transition at a significantly smaller density than its dipolar counterpart. Moreover, motivated by the recent realization of a strongly axially trapped, bilayer geometry [Science 384, 546-551 (2024)], we study the properties of the bilayer liquid phase as the inter-layer distance is tuned, and provide the range of parameters where one layer can influence the properties of the other.

We investigate the quantum and thermal phase diagram of fermionic polar molecules loaded in a bilayer trapping potential with perpendicular dipole moment. We use both a BCS-theory approach that is most reliable at weak coupling and a strong-coupling approach that considers the two-body bound dimer states with one molecule in each layer as the relevant degree of freedom. The system ground state is a Bose-Einstein condensate (BEC) of dimer bound states in the low-density limit and a paired superfluid (BCS) state in the high-density limit. At zero temperature, the intralayer repulsion is found to broaden the regime of BCS-BEC crossover and can potentially induce system collapse through the softening of roton excitations. The BCS theory and the strongly coupled dimer picture yield similar predictions for the parameters of the crossover regime. The Berezinskii-Kosterlitz-Thouless transition temperature of the dimer superfluid is also calculated. The crossover can be driven by many-body effects and is strongly affected by the intralayer interaction which was ignored in previous studies.