Feshbach resonances are the essential tool to control the interaction between atoms in
ultracold quantum gases. They have found numerous experimental applications, opening up …

This review is concerned with the physics and chemistry associated with the interactions,
collisions, and reactions of ultracold molecules, that is, molecules having translational …

Magnetically tunable Feshbach resonances were employed to associate cold diatomic
molecules in a series of experiments involving both atomic Bose and two-spin-component …

We review the recent literature on lattice simulations for few-and many-body systems. We
focus on methods that combine the framework of effective field theory with computational …

A simple quantum-defect model gives analytic expressions for the complex scattering length
and threshold collision rates of ultracold molecules. If the probability of reaction in the short …

Understanding and controlling collisions is crucial to the burgeoning field of ultracold
molecules. All experiments so far have observed fast loss of molecules from the trap …

Recent theoretical and experimental progress on studying one-dimensional systems of
bosonic, fermionic, and Bose–Fermi mixtures of a few ultracold atoms confined in traps is …

Photoassociation of molecules out of an ultracold gas was thefirst successful approach to
create a gas of molecules in the electronic ground state at translational temperatures in the …

Starting with the quantization of the Caldirola–Kanai Hamiltonian, various
phenomenological methods to treat the damped harmonic oscillator as a dissipative system …

A quantum-defect theory of atomic collisions and molecular vibration spectra is presented.
Based on the exact solutions of the Schrödinger equation for an attractive 1/r 6 potential, the …