Ultracold nonreactive molecules in an optical lattice: connecting chemistry to many-body physics

Abstract

We derive effective lattice models for ultracold bosonic or fermionic nonreactive molecules (NRMs) in an optical lattice, analogous to the Hubbard model that describes ultracold atoms in a lattice. In stark contrast to the Hubbard model, which is commonly assumed to accurately describe NRMs, we find that the single on-site interaction parameter $U$ is replaced by a multi-channel interaction, whose properties we elucidate. The complex, multi-channel collisional physics is unrelated to dipolar interactions, and so occurs even in the absence of an electric field or for homonuclear molecules. We find a crossover between coherent few-channel models and fully incoherent single-channel models as the lattice depth is increased. We show that the effective model parameters can be determined in lattice modulation experiments, which consequently measure molecular collision dynamics with a vastly sharper energy resolution than experiments in an ultracold gas.

4 pages+refs, 3 figures; 2.5 pages+1 figure Supplemental Material

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Cited by in corpus (20)

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• Collisions of ultracold ^{23}Na^{87}Rb molecules with controlled chemical reactivities
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• Quantum phases of tilted dipolar bosons in two-dimensional optical lattice
• Strings of ultracold molecules in a synthetic dimension
• Localized dynamics following a quantum quench in a non-integrable system: An example on the sawtooth ladder
• Two interacting ultracold molecules in a one-dimensional harmonic trap
• Microscopic derivation of multi-channel Hubbard models for ultracold nonreactive molecules in an optical lattice
• Quantum Phases from Competing Van der Waals and Dipole-Dipole Interactions of Rydberg Atoms
• Correlations and enlarged superconducting phase of $t$-$J_{\perp }$ chains of ultracold molecules on optical lattices
• Controlling the dynamics of ultracold polar molecules in optical tweezers
• Photoassociation of ultracold long-range polyatomic molecules
• Lattice model parameters for ultracold nonreactive molecules: chaotic scattering and its limitations
• Quantum phases of bosonic chiral molecules in helicity lattices
• A Model for Scattering with Proliferating Resonances: Many Coupled Square Wells
• Impact of overlapping resonances on magnetoassociation of cold molecules in tight traps
• Bosonic molecules in a lattice: unusual fluid phase from multichannel interactions
• Precise Feshbach resonance spectroscopy using tight anharmonic traps
• Rotational properties of two interacting cold polar molecules: linear, symmetric, and asymmetric tops