Statistical Aspects of Ultracold Resonant Scattering

Abstract

Compared to purely atomic collisions, ultracold collisions involving molecules have the potential to support a much larger number of Fano-Feshbach resonances due to the huge amount of ro-vibrational states available. In order to handle such ultracold atom-molecule collisions, we formulate a theory that incorporates the ro-vibrational Fano-Feshbach resonances in a statistical manner while treating the physics of the long-range scattering, which is sensitive to such things as hyperfine states, collision energy and any applied electromagnetic fields, exactly within multichannel quantum defect theory. Uniting these two techniques, we can assess the influence of highly resonant scattering in the threshold regime, and in particular its dependence on the hyperfine state selected for the collision. This allows us to explore the onset of Ericson fluctuations in the regime of overlapping resonances, which are well-known in nuclear physics but completely unexplored in the ultracold domain.

16 pages, 7 figures

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Cited by in corpus (93)

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• Collisions of ultracold molecules in bright and dark optical dipole traps
• Synthetic dimensions in ultracold molecules: quantum strings and membranes
• Control of reactive collisions by quantum interference
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• Ultracold Sticky Collisions: Theoretical and Experimental Status
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• Adimensional theory of shielding in ultracold collisions of dipolar rotors
• Field-linked resonances of polar molecules
• A Feshbach resonance in collisions between ultracold ground state molecules
• Van der Waals coefficients for systems with ultracold polar alkali-metal molecules
• Optical shielding of destructive chemical reactions between ultracold ground-state NaRb molecules
• Long-lived complexes and signatures of chaos in ultracold K2+Rb collisions
• Magnetic Feshbach resonances in collisions of ${}^{23}$Na${}^{40}$K with ${}^{40}$K
• Ultracold chemistry with alkali-metal-rare-earth molecules
• Unified model of ultracold molecular collisions
• Theory of long-range ultracold atom-molecule photoassociation
• Diatomic molecules of alkali-metal and alkaline-earth-metal atoms: interaction potentials, dipole moments, and polarizabilities
• Quantum phases of tilted dipolar bosons in two-dimensional optical lattice
• Statistical product distributions for ultracold reactions in external fields
• Energetics and control of ultracold isotope-exchange reactions between heteronuclear dimers in external fields
• Microwave shielding with far-from-circular polarization
• The approach to chaos in ultracold atomic and molecular physics: statistics of near-threshold bound states for Li+CaH and Li+CaF
• Multichannel interactions of two atoms in an optical tweezer
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• Preparation of one ${}^{87}$Rb and one ${}^{133}$Cs atom in a single optical tweezer
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• Strings of ultracold molecules in a synthetic dimension
• Universal probability distributions of scattering observables in ultracold molecular collisions
• Complexes formed in collisions between ultracold alkali-metal diatomic molecules and atoms
• Molecular Collisions: from Near-cold to Ultra-cold
• Probing ultracold chemistry using ion spectrometry
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• Observation of photoassociation resonances in ultracold atom-molecule collisions
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• Correlations and enlarged superconducting phase of $t$-$J_{\perp }$ chains of ultracold molecules on optical lattices
• Microscopic derivation of multi-channel Hubbard models for ultracold nonreactive molecules in an optical lattice
• Ab initio calculation of the spectrum of Feshbach resonances in NaLi + Na collisions
• Lattice model parameters for ultracold nonreactive molecules: chaotic scattering and its limitations
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• Full-dimensional quantum scattering calculations on ultracold atom-molecule collisions in magnetic fields: The role of molecular vibrations
• Rotational-state dependence of interactions between polar molecules
• Chaotic scattering in the presence of a dense set of overlapping Feshbach resonances
• Few-body physics of ultracold atoms and molecules with long-range interactions
• Electric field dependence of complex-dominated ultracold molecular collisions
• Hyperfine dependent atom-molecule loss analyzed by the analytic solution of few-body loss equations
• Symmetry breaking in sticky collisions between ultracold molecules
• Magnetic Feshbach resonances in ultracold atom-molecule collisions
• Collisions of Spin-polarized YO Molecules for Single Partial Waves
• Time delays in ultracold atomic and molecular collisions
• A Model for Scattering with Proliferating Resonances: Many Coupled Square Wells
• Magnetic Feshbach resonances in collisions of non-magnetic closed-shell ${}^1\Sigma$ molecules
• Resonances in non-universal dipolar collisions
• Ultracold molecular collisions in magnetic fields: Efficient incorporation of hyperfine structure in the total rotational angular momentum representation
• Quantum Zeno-based Detection and State Engineering of Ultracold Polar Molecules
• Bosonic molecules in a lattice: unusual fluid phase from multichannel interactions
• Multichannel Quantum Defect Theory for cold molecular collisions with a strongly anisotropic potential energy surface
• Reactive collisions of two ultracold particles in a harmonic trap
• Dynamics of translational and rotational thermalization of AlF molecules via collisions with cryogenic helium
• Non-Sticking of Helium Buffer Gas to Hydrocarbons
• Ultracold collisions of molecules
• Multichannel quantum defect theory with a frame transformation for ultracold atom-molecule collisions in magnetic fields
• Trap-induced atom-ion complexes: a time-independent approach
• Long-range interactions between ultracold atoms and molecules
• Precise Feshbach resonance spectroscopy using tight anharmonic traps
• Multichannel quantum-defect theory for anisotropic interactions
• Product-state distribution after isotopic substitution in ultracold atom-molecule collisions
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• Quasi-1D ultracold rigid-rotor collisions : reactive and non-reactive cases
• Quantum Reactive Scattering of Ultracold Atoms and Molecules: Universality and Chaotic Dynamics
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• Lossy Quantum Defect Theory of Ultracold Molecular Collisions
• Ab initio study of the reactivity of ultracold RbSr$+$RbSr collisions
• Universality Emerging in a Universality: Derivation of the Ericson Transition in Stochastic Quantum Scattering and Experimental Validation
• Optical formation of ultracold NaK${}_2$ ground state molecules