Two-dimensional scattering and bound states of polar molecules in bilayers

Abstract

Low-energy two-dimensional scattering is particularly sensitive to the existence and properties of weakly-bound states. We show that interaction potentials $V(r)$ with vanishing zero-momentum Born approximation $\int d^{2}rV(r)=0$ lead to an anomalously weak bound state which crucially modifies the two-dimensional scattering properties. This anomalous case is especially relevant in the context of polar molecules in bilayer arrangements.

4 pages, 3 figures

References in corpus (10)

• The physics of dipolar bosonic quantum gases
• Quantum-State Controlled Chemical Reactions of Ultracold KRb Molecules
• Dipolar collisions of polar molecules in the quantum regime
• Superfluid transition in quasi2D Fermi gases
• Bound States and Universality in Layers of Cold Polar Molecules
• Pseudo-potential of a power-law decaying interaction in two-dimensional systems
• Bose-Fermi mixtures of self-assembled filaments of fermionic polar molecules
• Phases of a bilayer Fermi gas
• Low-energy potential scattering in two and three dimensions
• Universality of low-energy scattering in (2+1) dimensions

Cited by in corpus (66)

• Condensed Matter Theory of Dipolar Quantum Gases
• Interlayer superfluidity in bilayer systems of fermionic polar molecules
• Three-Body Interacting Bosons in Free Space
• Dipolar Stabilization of an Attractive Bose Gas in a One Dimensional Lattice
• Bilayer superfluidity of fermionic polar molecules: many body effects
• BCS-BEC Crossover in Bilayers of Cold Fermionic Polar Molecules
• Single-particle vs. pair superfluidity in a bilayer system of dipolar bosons
• Andreev-Bashkin effect in superfluid cold gases mixture
• Model independence in two dimensions and polarized cold dipolar molecules
• Analytic Harmonic Approach to the N-body problem
• The Fermi-polaron in two dimensions: Importance of the two-body bound state
• Density Waves in Layered Systems with Fermionic Polar Molecules
• Correlation effects and collective excitations in bosonic bilayers: role of quantum statistics, superfluidity and dimerization transition
• Microscopic description of anisotropic low-density dipolar Bose gases in two dimensions
• Bound Dimers in Bilayers of Cold 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
• Emergent structure in a dipolar Bose gas in a one-dimensional lattice
• Novel $p$-wave superfluids of fermionic polar molecules
• Mass-imbalanced Three-Body Systems in Two Dimensions
• Effect of interlayer processes on the superconducting state within t-J-U model: Full Gutzwiller wave-function solution and relation to experiment
• Few-body bound state stability of dipolar molecules in two dimensions
• Bound states of Dipolar Bosons in One-dimensional Systems
• Single-Particle Momentum Distributions of Efimov States in Mixed-Species Systems
• Superfluidity of flexible chains of polar molecules
• Few-body bound states of two-dimensional bosons
• 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
• Fragmented-condensate solid of dipolar excitons
• Fixed-node diffusion Monte Carlo study of the BCS-BEC crossover in a bilayer system of fermionic dipoles
• Analytic structure and power-series expansion of the Jost function for the two-dimensional problem
• Two dimensional dipolar scattering with a tilt
• Collective interlayer pairing and pair superfluidity in vertically stacked layers of dipolar excitons
• 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
• Effective dipole-dipole interactions in multilayered dipolar Bose-Einstein condensates
• Scattering and bound states in two-dimensional anisotropic potentials
• Optical probing in a bilayer dark-bright condensate system
• Non-local state-swapping of polar molecules in bilayers
• Fulde-Ferrell-Larkin-Ovchinnikov state in bilayer dipolar systems
• Dipoles on a Two-leg Ladder
• The impurity problem in a bilayer system of dipoles
• Equation of state and Kosterlitz-Thouless transition temperature in two-dimensional Fermi gases: An analytical approach
• Vertically-coupled dipolar exciton molecules
• Bound Chains of Tilted Dipoles in Layered Systems
• Thermodynamics of Dipolar Chain Systems
• Polar molecules in bilayers with high population imbalance
• Kohn-Sham approach to Fermi gas superfluidity: the bilayer of fermionic polar molecules
• Three-Boson Bound States in Two Dimensions
• Exact two-body solutions and Quantum defect theory of two dimensional dipolar quantum gas
• Classical crystal formation of dipoles in two dimensions
• Contact parameters in two dimensions for general three-body systems
• Many-Body Formation and Dissociation of a Dipolar Chain Crystal
• Proof of universality in one-dimensional few-body systems including anisotropic interactions
• Magnetoroton in a two-dimensional Bose-Bose mixture
• Self-localization of magnons and magnetoroton in a binary Bose-Einstein condensate
• Multiple polaron quasiparticles with dipolar fermions in a bilayer geometry
• Quantum halo states in two-dimensional dipolar clusters
• Vortex generation in a superfluid gas of dipolar chains in crossed electric and magnetic fields
• Few-body bound states of bosonic mixtures in two-dimensional optical lattices
• Clusters in Separated Tubes of Tilted Dipoles
• Trapping polar molecules by surface acoustic waves
• Ultradilute quantum liquid of dipolar atoms in a bilayer
• Quantum Monte Carlo study of few- and many-body Bose systems in one and two dimensions