Bound Dimers in Bilayers of Cold Polar Molecules

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.

25 pages, 9 figures, final version

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Cited by in corpus (30)

• Comparing and contrasting nuclei and cold atomic gases
• BCS-BEC Crossover in Bilayers of Cold Fermionic Polar Molecules
• Few-body bound states in dipolar gases and their detection
• Model independence in two dimensions and polarized cold dipolar molecules
• Density Waves in Layered Systems with Fermionic Polar Molecules
• Few-Body Bound Complexes in One-dimensional Dipolar Gases and Non-Destructive Optical Detection
• Density wave instabilities of tilted fermionic dipoles in a multilayer geometry
• Few-body bound state stability of dipolar molecules in two dimensions
• Bound states of Dipolar Bosons in One-dimensional Systems
• Quantum Phases of Dipolar Bosons in Bilayer Geometry
• Layers of Cold Dipolar Molecules in the Harmonic Approximation
• Virial expansion coefficients in the harmonic approximation
• Universal Two-Body Spectra of Ultracold Harmonically Trapped Atoms in Two and Three Dimensions
• Quantum Statistics and Thermodynamics in the Harmonic Approximation
• Universal physics of bound states of a few charged particles
• Stability and excitations of a bilayer of strongly correlated dipolar Bosons
• Density-wave phases of dipolar fermions in a bilayer
• Dimers, Effective Interactions, and Pauli Blocking Effects in a Bilayer of Cold Fermionic Polar Molecules
• Occurrence conditions for two-dimensional Borromean systems
• Scattering and bound states in two-dimensional anisotropic potentials
• Effective dipole-dipole interactions in multilayered dipolar Bose-Einstein condensates
• Thermodynamics of Dipolar Chain Systems
• Bound Chains of Tilted Dipoles in Layered Systems
• Many-particle Systems in One Dimension in the Harmonic Approximation
• Bound states and Cooper pairs of molecules in 2D optical lattices bilayer
• Dipolar fermions in a multilayer geometry
• Proof of universality in one-dimensional few-body systems including anisotropic interactions
• Linear rotor in an ideal Bose gas near the threshold for binding
• Quantum rotor in a two-dimensional mesoscopic Bose gas
• Analysis of two and three dipolar bosons in a spherical harmonic trap