Dynamics of ultracold molecules in confined geometry and electric field

Abstract

We present a time-independent quantum formalism to describe the dynamics of molecules with permanent electric dipole moments in a two-dimensional confined geometry such as a one-dimensional optical lattice, in the presence of an electric field. Bose/Fermi statistics and selection rules play a crucial role in the dynamics. As examples, we compare the dynamics of confined fermionic and bosonic polar KRb molecules under different confinements and electric fields. We show how chemical reactions can be suppressed, either by a "statistical suppression" which applies for fermions at small electric fields and confinements, or by a "potential energy suppression", which applies for both fermions and bosons at high electric fields and confinements. We also explore collisions that transfer molecules from one state of the confining potential to another. Although these collisions can be significant, we show that they do not play a role in the loss of the total number of molecules in the gas.

arXiv comment13 pages, 6 figures

References in corpus (27)

• A High Phase-Space-Density Gas of Polar Molecules
• Quantum computation with trapped polar molecules
• Cold and Ultracold Molecules: Science, Technology, and Applications
• A toolbox for lattice spin models with polar molecules
• Quantum-State Controlled Chemical Reactions of Ultracold KRb Molecules
• Formation of ultracold polar molecules in the rovibrational ground state
• Dipolar collisions of polar molecules in the quantum regime
• Optical Production of Ultracold Polar Molecules
• Strongly correlated 2D quantum phases with cold polar molecules: controlling the shape of the interaction potential
• Interatomic collisions in a tightly confined Bose gas
• Schemes for robust quantum computation with polar molecules
• Controlling the hyperfine state of rovibronic ground-state polar molecules
• Reactions of ultracold alkali metal dimers
• Coherent transfer of photoassociated molecules into the rovibrational ground state
• Universal rate constants for reactive collisions of ultracold molecules
• Cold polar molecules in 2D traps: Tailoring interactions with external fields for novel quantum phases
• Tuning the interactions of spin-polarized fermions using quasi-one-dimensional confinement
• Universal rates for reactive ultracold polar molecules in reduced dimensions
• Strong dependence of ultracold chemical rates on electric dipole moments
• A Simple Quantum Model of Ultracold Polar Molecule Collisions
• Electric field suppression of ultracold confined chemical rates
• Structure and thermochemistry of K${}_2$Rb, KRb${}_2$ and K${}_2$Rb${}_2$
• 2-Dimensional Dipolar Scattering
• Quasi-two dimensional dipolar scattering
• Product state control of bi-alkali chemical reactions
• Optical Feshbach resonances of Alkaline-Earth atoms in a 1D or 2D optical lattice
• Inelastic Collisions in an Ultracold quasi-2D Gas

Cited by in corpus (54)

• Cold molecules: Progress in Quantum Engineering of Chemistry and Quantum Matter
• Controlling the quantum stereodynamics of ultracold bimolecular reactions
• Manipulation of Molecules with Electromagnetic Fields
• Microwave shielding of ultracold polar molecules
• Resonant collisional shielding of reactive molecules using electric fields
• Dipolar evaporation of reactive molecules to below the Fermi temperature
• Tuning of dipolar interactions and evaporative cooling in a three-dimensional molecular quantum gas
• Three-Body Interacting Bosons in Free Space
• Ultracold Dipolar Molecules Composed of Strongly Magnetic Atoms
• Topological p_x+ip_y Superfluid Phase of Fermionic Polar Molecules
• Universal ultracold collision rates for polar molecules of two alkali-metal atoms
• Controlling a quantum gas of polar molecules in an optical lattice
• Shielding ${}^2\Sigma$ ultracold dipolar molecular collisions with electric fields
• Universalities in ultracold reactions of alkali polar molecules
• Microwave shielding of bosonic NaRb molecules
• Collective modes, stability and superfluid transition of a quasi-two-dimensional dipolar Fermi gas
• Tuning ultracold collisions of excited rotational dipolar molecules
• Dynamical generation of spin squeezing in ultra-cold dipolar molecules
• Density ordering instabilities of quasi-two-dimensional fermionic polar molecules in single-layer and multi-layer configurations: exact treatment of exchange interactions
• Thermalization and Sub-Poissonian Density Fluctuations in a Degenerate Molecular Fermi Gas
• Observation of generalized t-J spin dynamics with tunable dipolar interactions
• Emergent structure in a dipolar Bose gas in a one-dimensional lattice
• Evaporative cooling of reactive polar molecules confined in a two-dimensional geometry
• Chemical pathways in ultracold reactions of SrF molecules
• Reactive collisions in confined geometries
• Polar molecule reactive collisions in quasi-1D systems
• Electro-association of ultracold dipolar molecules into tetramer field-linked states
• Collisional Aspects of Bosonic and Fermionic Dipoles in Quasi-Two-Dimensional Confining Geometries
• Two interacting ultracold molecules in a one-dimensional harmonic trap
• Shielding collisions of ultracold CaF molecules with static electric fields
• Two dimensional dipolar scattering with a tilt
• Electric-field-controlled cold dipolar collisions between trapped CH${}_3$F molecules
• Collective phenomena in quasi-two-dimensional fermionic polar molecules: band renormalization and excitons
• Universal bound and scattering properties for two dipoles
• Four-body singlet potential energy surface for reactions of calcium monofluoride
• Resonant control of polar molecules in an optical lattice
• Classical approach to collision complexes in ultracold chemical reactions
• Few-body physics of ultracold atoms and molecules with long-range interactions
• Long-range interactions between an atom in its ground S state and an open-shell linear molecule
• Dynamics of ultracold dipolar particles in a confined geometry and tilted fields
• Can the dipolar interaction suppress dipolar relaxation?
• Robust Dynamical Recurrences Based on Floquet Spectrum
• Beyond the Spin Model Approximation for Ramsey Spectroscopy
• Self-consistent field theory of polarized BEC: dispersion of collective excitation
• Ultracold collisions between two light indistinguishable diatomic molecules: elastic and rotational energy transfer in HD+HD
• Reactive collisions of two ultracold particles in a harmonic trap
• Purely long-range polar molecules composed of identical lanthanide atoms
• Ultracold Interactions between Ions and Polar Molecules
• Quasi-1D ultracold rigid-rotor collisions : reactive and non-reactive cases
• Giant enhancement of photodissociation of polar dimers in electric fields
• Quantum reactive scattering in the long-range ion-dipole potential
• Averaged collision and reaction rates in a two-species gas of ultracold fermions
• Strongly dipolar molecular Bose-Einstein condensates: From few- to many-body physics
• Model for two-body collisions between ultracold dipolar molecules around a Förster resonance in an electric field