Bound States and Universality in Layers of Cold Polar Molecules

Abstract

The recent experimental realization of cold polar molecules in the rotational and vibrational ground state opens the door to the study of a wealth of phenomena involving long-range interactions. By applying an optical lattice to a gas of cold polar molecules one can create a layered system of planar traps. Due to the long-range dipole-dipole interaction one expects a rich structure of bound complexes in this geometry. We study the bilayer case and determine the two-body bound state properties as a function of the interaction strength. The results clearly show that a least one bound state will always be present in the system. In addition, bound states at zero energy show universal behavior and extend to very large radii. These results suggest that non-trivial bound complexes of more than two particles are likely in the bilayer and in more complicated chain structures in multi-layer systems.

6 pages, 5 figures. Revised version to be published

References in corpus (14)

• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• A High Phase-Space-Density Gas of Polar Molecules
• Bose-Einstein condensation of chromium
• Quantum-State Controlled Chemical Reactions of Ultracold KRb Molecules
• Ultracold Molecules in the Ro-Vibrational Triplet Ground State
• Ultracold dense gas of deeply bound heteronuclear molecules
• Spontaneously modulated spin textures in a dipolar spinor Bose-Einstein condensate
• Stable Topological Superfluid Phase of Ultracold Polar Fermionic Molecules
• Quantum fluids of self-assembled chains of polar molecules
• Magnetic dipolar interaction in an atomic Bose Einstein condensate interferometer
• Quantum phase transitions of polar molecules in bilayer systems
• 2-Dimensional Dipolar Scattering
• Pseudo-potential of a power-law decaying interaction in two-dimensional systems
• Bose-Fermi mixtures of self-assembled filaments of fermionic polar molecules

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• Analytic Harmonic Approach to the N-body problem
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• Correlation effects and collective excitations in bosonic bilayers: role of quantum statistics, superfluidity and dimerization transition
• Few-Body Bound Complexes in One-dimensional Dipolar Gases and Non-Destructive Optical Detection
• Bound Dimers in Bilayers of Cold Polar Molecules
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• Bound states of Dipolar Bosons in One-dimensional Systems
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• Few-body bound states of two-dimensional bosons
• Superfluidity of flexible chains of polar molecules
• Virial expansion coefficients in the harmonic approximation
• Layers of Cold Dipolar Molecules in the Harmonic Approximation
• Universal Two-Body Spectra of Ultracold Harmonically Trapped Atoms in Two and Three Dimensions
• Fixed-node diffusion Monte Carlo study of the BCS-BEC crossover in a bilayer system of fermionic dipoles
• Quantum Statistics and Thermodynamics in the Harmonic Approximation
• Two dimensional dipolar scattering with a tilt
• Universal physics of bound states of a few charged particles
• Stability and excitations of a bilayer of strongly correlated dipolar Bosons
• Dimers, Effective Interactions, and Pauli Blocking Effects in a Bilayer of Cold Fermionic Polar Molecules
• Field-induced long-lived supermolecules
• Occurrence conditions for two-dimensional Borromean systems
• The impurity problem in a bilayer system of dipoles
• Thermodynamics of Dipolar Chain Systems
• Many-particle Systems in One Dimension in the Harmonic Approximation
• Bound Chains of Tilted Dipoles in Layered Systems
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• Polar molecules in bilayers with high population imbalance
• Weakly bound states of polar molecules in bilayers
• Interplay of interlayer pairing and many-body screening in a bilayer of dipolar fermions
• Many-Body Formation and Dissociation of a Dipolar Chain Crystal
• Density engineering via inter-condensate dipole-dipole interactions
• Quantum halo states in two-dimensional dipolar clusters
• Ultradilute quantum liquid of dipolar atoms in a bilayer