Layers of Cold Dipolar Molecules in the Harmonic Approximation

Abstract

We consider the N-body problem in a layered geometry containing cold polar molecules with dipole moments that are polarized perpendicular to the layers. A harmonic approximation is used to simplify the hamiltonian and bound state properties of the two-body inter-layer dipolar potential are used to adjust this effective interaction. To model the intra-layer repulsion of the polar molecules, we introduce a repulsive inter-molecule potential that can be parametrically varied. Single chains containing one molecule in each layer, as well as multi-chain structures in many layers are discussed and their energies and radii determined. We extract the normal modes of the various systems as measures of their volatility and eventually of instability, and compare our findings to the excitations in crystals. We find modes that can be classified as either chains vibrating in phase or as layers vibrating against each other. The former correspond to acoustic and the latter to optical phonons. Instabilities can occur for large intra-layer repulsion and produce diverging amplitudes of molecules in the outer layers. Lastly, we consider experimentally relevant regimes to observe the structures.

17 pages, 20 figures, accepted version

References in corpus (41)

• 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
• Controlling the quantum stereodynamics of ultracold bimolecular reactions
• 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
• Stable Topological Superfluid Phase of Ultracold Polar Fermionic Molecules
• Metastable states of a gas of dipolar bosons in a 2D optical lattice
• Structural phase transitions in low-dimensional ion crystals
• Quantum fluids of self-assembled chains of polar molecules
• Quantum phases of a Two-Dimensional Dipolar Fermi Gas
• Repulsive shield between polar molecules
• Interlayer superfluidity in bilayer systems of fermionic polar molecules
• Molecular Dipolar Crystals as High Fidelity Quantum Memory for Hybrid Quantum Computing
• Universal rates for reactive ultracold polar molecules in reduced dimensions
• Cold heteromolecular dipolar collisions
• Evidence of Luttinger liquid behavior in one-dimensional dipolar quantum gases
• Topological p_x+ip_y Superfluid Phase of Fermionic Polar Molecules
• Universal ultracold collision rates for polar molecules of two alkali-metal atoms
• Two-dimensional scattering and bound states of polar molecules in bilayers
• Spontaneous inhomogeneous phases in ultracold dipolar Fermi gases
• BCS-BEC Crossover in Bilayers of Cold Fermionic Polar Molecules
• Few-body bound states in dipolar gases and their detection
• Quantum melting of a crystal of dipolar bosons
• Meta-nematic, smectic and crystalline phases of dipolar fermions in an optical lattice
• Dipolar bosons in a planar array of one-dimensional tubes
• Model independence in two dimensions and polarized cold dipolar molecules
• Analytic Harmonic Approach to the N-body problem
• Tunable Wigner States with Dipolar Atoms and Molecules
• Pseudo-potential of a power-law decaying interaction in two-dimensional systems
• Ground state of low dimensional dipolar gases: linear and zigzag chains
• Density Waves in Layered Systems with Fermionic Polar Molecules
• Tunable disorder in a crystal of cold polar molecules
• Supersolid Phase of Cold Fermionic Polar Molecules in 2D Optical Lattices
• Few-Body Bound Complexes in One-dimensional Dipolar Gases and Non-Destructive Optical Detection
• Bound Dimers in Bilayers of Cold Polar Molecules
• Few-body bound state stability of dipolar molecules in two dimensions
• Structure and melting behavior of classical bilayer crystals of dipoles
• Superfluidity of flexible chains of polar molecules
• Interaction-induced first order correlation between spatially-separated 1D dipolar fermions

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• Few-body Physics in a Many-body World
• Formation of classical crystals of dipolar particles in a helical geometry
• Occurrence conditions for two-dimensional Borromean systems
• Dipoles on a Two-leg Ladder
• Thermodynamics of Dipolar Chain Systems
• Many-particle Systems in One Dimension in the Harmonic Approximation
• Bound Chains of Tilted Dipoles in Layered Systems
• Competing supersolids of Bose-Bose mixtures in a triangular lattice
• Contact parameters in two dimensions for general three-body systems
• Many-Body Formation and Dissociation of a Dipolar Chain Crystal
• A Solvable Model for Decoupling of Interacting Clusters
• Clusters in Separated Tubes of Tilted Dipoles
• Vortex generation in a superfluid gas of dipolar chains in crossed electric and magnetic fields
• Quantum phases of hard-core dipolar bosons in coupled 1D optical lattices