Few-body bound state stability of dipolar molecules in two dimensions

Abstract

Bound structures among dipolar molecules in multilayers are a topic of great interest in the light of recent experiments that have demonstrated the feasibility of the setup. While it is known that two molecules in two adjacent layers will always bind, larger complexes have only been scarcely addressed thus far. Here we prove rigorously that three- and four-body states will never be bound when the dipoles are oriented perpendicular to the layers. The technique employed is general and can be used for more molecules/layers and other geometries. Our analytical findings are supported by numerical calculations for both fermionic and bosonic molecules. Furthermore, we calculate the reduction in intralayer repulsion necessary to bind large complexes and estimate the influence of bound complexes in systems with many layers.

5 pages, 4 figures, final version

References in corpus (23)

• Many-Body Physics with Ultracold Gases
• Theory of ultracold Fermi gases
• A High Phase-Space-Density Gas of Polar Molecules
• Strongly correlated 2D quantum phases with cold polar molecules: controlling the shape of the interaction potential
• Quantum Gas of Deeply Bound Ground State Molecules
• Ultracold Molecules in the Ro-Vibrational Triplet Ground State
• Ultracold dense gas of deeply bound heteronuclear molecules
• Quantum phase transition in a two-dimensional system of dipoles
• Cold polar molecules in 2D traps: Tailoring interactions with external fields for novel quantum phases
• Coherent optical transfer of Feshbach molecules to a lower vibrational state
• Tomographic RF Spectroscopy of a Trapped Fermi Gas at Unitarity
• Interlayer superfluidity in bilayer systems of fermionic polar molecules
• Two-dimensional scattering and bound states of polar molecules in bilayers
• Superfluidity and dimerization in a multilayered system of fermionic polar molecules
• Spontaneous inhomogeneous phases in ultracold dipolar Fermi gases
• Quantum melting of a crystal of dipolar bosons
• Collective modes, stability and superfluid transition of a quasi-two-dimensional dipolar Fermi gas
• Model independence in two dimensions and polarized cold dipolar molecules
• Tunable Wigner States with Dipolar Atoms and Molecules
• Pseudo-potential of a power-law decaying interaction in two-dimensional systems
• Density ordering instabilities of quasi-two-dimensional fermionic polar molecules in single-layer and multi-layer configurations: exact treatment of exchange interactions
• Few-Body Bound Complexes in One-dimensional Dipolar Gases and Non-Destructive Optical Detection
• A supercircle description of universal three-body states in two dimensions

Cited by in corpus (24)

• Condensed Matter Theory of Dipolar Quantum Gases
• Comparing and contrasting nuclei and cold atomic gases
• Three-Body Interacting Bosons in Free Space
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Density wave instabilities of tilted fermionic dipoles in a multilayer geometry
• Mass-imbalanced Three-Body Systems in Two Dimensions
• Bound states of Dipolar Bosons in One-dimensional Systems
• Few-body bound states of two-dimensional bosons
• Virial expansion coefficients in the harmonic approximation
• Universal Two-Body Spectra of Ultracold Harmonically Trapped Atoms in Two and Three Dimensions
• Formation of classical crystals of dipolar particles in a helical geometry
• Effective dipole-dipole interactions in multilayered dipolar Bose-Einstein condensates
• Quantum few-body bound states of dipolar particles in a helical geometry
• Dipoles on a Two-leg Ladder
• Bound Chains of Tilted Dipoles in Layered Systems
• Thermodynamics of Dipolar Chain Systems
• Many-particle Systems in One Dimension in the Harmonic Approximation
• Classical crystal formation of dipoles in two dimensions
• Contact parameters in two dimensions for general three-body systems
• Wigner-localized states in spin-orbit-coupled bosonic ultracold atoms with dipolar interaction
• Few-body bound states of bosonic mixtures in two-dimensional optical lattices
• Quantum halo states in two-dimensional dipolar clusters
• Quantum Monte Carlo study of few- and many-body Bose systems in one and two dimensions
• Two- and three- dimensional few-body systems in the universal regime