Quasi-Universal Dipolar Scattering in Cold and Ultracold Gases

Abstract

We investigate the scattering cross section of aligned dipolar molecules in low-temperature gases. Over a wide range of collision energies relevant to contemporary experiments, the cross section declines in inverse proportion to the collision speed, and is given nearly exactly by a simple semiclassical formula. At yet lower energies, the cross section becomes independent of energy, and is reproduced within the Born approximation to within corrections due to the s-wave scattering length. While these behaviors are universal for all polar molecules, nevertheless interesting deviations from universality are expected to occur in the intermediate energy range.

19 pages, 5 figures

References in corpus (10)

• A High Phase-Space-Density Gas of Polar Molecules
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• Magneto-electrostatic trapping of ground state OH molecules
• Dipolar Bose-Einstein condensates with dipole-dependent scattering length
• Collisional Control of Ground State Polar Molecules and Universal Dipolar Scattering
• Pseudo-potential treatment of two aligned dipoles under external harmonic confinement
• Universal resonant ultracold molecular scattering
• An effective many-body theory for strongly interacting polar molecules
• Energy Dependence of Scattering Ground State Polar Molecules
• Resonance phenomena in ultracold dipole-dipole scattering

Cited by in corpus (84)

• Cold and Ultracold Molecules: Science, Technology, and Applications
• A Strongly Dipolar Bose-Einstein Condensate of Dysprosium
• Bose-Einstein Condensation of Erbium
• Dipolar collisions of polar molecules in the quantum regime
• Quantum degenerate dipolar Fermi gas
• Dipolar physics: A review of experiments with magnetic quantum gases
• Manipulation of Molecules with Electromagnetic Fields
• Beyond Mean-Field Low-Lying Excitations of Dipolar Bose Gases
• Reaching Fermi degeneracy via universal dipolar scattering
• Emergence of chaotic scattering in ultracold Er and Dy
• Observation of low-field Fano-Feshbach resonances in ultracold gases of dysprosium
• Dipolar evaporation of reactive molecules to below the Fermi temperature
• Tuning of dipolar interactions and evaporative cooling in a three-dimensional molecular quantum gas
• Strong dependence of ultracold chemical rates on electric dipole moments
• Observation of Fermi surface deformation in a dipolar quantum gas
• s-wave scattering lengths of the strongly dipolar bosons ${}^{162}$Dy and ${}^{164}$Dy
• Laser cooled molecules
• Universal ultracold collision rates for polar molecules of two alkali-metal atoms
• Broad universal Feshbach resonances in the chaotic spectrum of Dysprosium atoms
• Collisionally Stable Gas of Bosonic Dipolar Ground State Molecules
• Tunable itinerant spin dynamics with polar molecules
• A cryofuge for cold-collision experiments with slow polar molecules
• Production of a degenerate Fermi-Fermi mixture of dysprosium and potassium atoms
• Entanglement of polar molecules in pendular states
• Adimensional theory of shielding in ultracold collisions of dipolar rotors
• Field-linked resonances of polar molecules
• Dipolar Collisions of Ultracold Ground-state Bosonic Molecules
• 2-Dimensional Dipolar Scattering
• The Efimov effect for three interacting bosonic dipoles
• Dipolar confinement-induced resonances of ultracold gases in waveguides
• Anisotropic expansion of a thermal dipolar Bose gas
• Dynamical generation of spin squeezing in ultra-cold dipolar molecules
• Quasi-two dimensional dipolar scattering
• Ultracold field-linked tetratomic molecules
• Quantum state resolved molecular dipolar collisions over four decades of energy
• Fermionic suppression of dipolar relaxation: Observation of universal inelastic dipolar scattering
• Anisotropic relaxation dynamics in a dipolar Fermi gas driven out of equilibrium
• Differential Scattering and Rethermalization in Ultracold Dipolar Gases
• Universal three-body physics for fermionic dipoles
• Dipolar Fermi gases in anisotropic traps
• Efimov States of Strongly Interacting Photons
• Three body recombination of ultracold dipoles to weakly bound dimers
• Properties of strongly dipolar Bose gases beyond the Born approximation
• Resonant and first-order dipolar interactions between ultracold molecules in static and microwave electric fields
• Probing open- and closed-channel p-wave resonances
• Anisotropic blockade using pendular Rydberg butterfly molecules
• Double Microwave Shielding
• Collisional Aspects of Bosonic and Fermionic Dipoles in Quasi-Two-Dimensional Confining Geometries
• Two dimensional dipolar scattering with a tilt
• Shielding collisions of ultracold CaF molecules with static electric fields
• Total angular momentum representation for atom-molecule collisions in electric fields
• Electric-field-controlled cold dipolar collisions between trapped CH${}_3$F molecules
• Three-Body Recombination of Ultracold Microwave-Shielded Polar Molecules
• Universal relations for dipolar quantum gases
• Anisotropic collisions of dipolar Bose-Einstein condensates in the universal regime
• Universal bound and scattering properties for two dipoles
• Observing dipolar confinement-induced resonances in waveguides
• Production and stabilization of a spin mixture of ultracold dipolar Bose gases
• Measurement of the dynamic polarizability of Dy atoms near the 626-nm intercombination line
• Controlling the s-wave scattering length with non-resonant light: Predictions of an asymptotic model
• Deceleration of continuous molecular beams
• Universality of Efimov states in highly mass-imbalanced cold-atom mixtures with van der Waals and dipole interactions
• Time-of-flight expansion of trapped dipolar Fermi gases: From the collisionless to the hydrodynamic regime
• Loss features in ultracold ${}^{162}$Dy gases: two- versus three-body processes
• SU($N$) symmetry with ultracold alkali dimers: weak dependence of scattering properties on hyperfine state
• Near-threshold bound states of the dipole-dipole interaction
• Bound states of a light atom and two heavy dipoles in two dimensions
• Resonances in non-universal dipolar collisions
• Controlling ultracold $p$-wave collisions with non-resonant light: Predictions of an asymptotic model for the generalized scattering volume
• Effect of short-range interaction for collision of ultracold dipoles
• Defining the $p$-wave scattering volume in the presence of dipolar interactions
• Effective potential and scattering length of shielding polar molecules
• Ultra-cold Collisions between Spin-Orbit-Coupled Dipoles: General Formalism and Universality
• Leggett mode in a two-component Fermi gas with dipolar interactions
• Quasi-1D ultracold rigid-rotor collisions : reactive and non-reactive cases
• Reflections on dipolar quantum fluids
• Can Nitric Oxide be Evaporatively Cooled in its Ground State?
• Aspects of arbitrarily oriented dipoles scattering in plane: short-range interaction influence
• Dipolar confinement-induced molecular states in harmonic waveguides
• Characterization of the energy level-structure of a trapped dipolar Bose gas via mean-field parametric resonances
• The effect of anisotropic exchange interactions and short-range phenomena on superfluidity in a homogeneous dipolar Fermi gas
• Universal Efimov spectra and fermionic doublets in highly mass-imbalanced cold-atom mixtures with van der Waals and dipole interactions
• Strongly dipolar molecular Bose-Einstein condensates: From few- to many-body physics
• Low-field Feshbach resonances and three-body losses in a fermionic quantum gas of ${}^{161}$Dy