Few-body physics with ultracold atomic and molecular systems in traps

Abstract

Few-body physics has played a prominent role in atomic, molecular and nuclear physics since the early days of quantum mechanics. It is now possible---thanks to tremendous progress in cooling, trapping, and manipulating ultracold samples---to experimentally study few-body phenomena in trapped atomic and molecular systems with unprecedented control. This review summarizes recent studies of few-body phenomena in trapped atomic and molecular gases, with an emphasis on small trapped systems. We start by introducing the free-space scattering properties and then investigate what happens when two particles, bosons or fermions, are placed in an external confinement. Next, various three-body systems are treated analytically in limiting cases. Our current understanding of larger two-component Fermi systems and Bose systems is reviewed, and connections with the corresponding bulk systems are established. Lastly, future prospects and challenges are discussed. Throughout this review, commonalities with other systems such as nuclei or quantum dots are highlighted.

review article to be published in Rep. Prog. Phys. (66 pages, 21 figures)

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• Three s-wave interacting fermions under anisotropic harmonic confinement: Dimensional crossover of energetics and virial coefficients
• Effective-range approximations for resonant scattering of cold atoms
• Electron and recoil ion momentum imaging with a magneto-optically trapped target
• Preparation of a Heteronuclear Two-atom System in the 3D Motional Ground State in an Optical Tweezer
• Few-fermion thermometry
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• Path integral Monte Carlo ground state approach: Formalism, implementation, and applications
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• Classical threshold law for the formation of van der Waals molecules
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• Quench Dynamics of Two One-Dimensional Harmonically Trapped Bosons Bridging Attraction and Repulsion
• Thermally-robust spin correlations between two 85Rb atoms in an optical microtrap
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• Spin structure of harmonically trapped one-dimensional atoms with spin-orbit coupling
• On the observability of Pauli crystals
• Harmonically trapped Fermi gas: Temperature dependence of the Tan contact
• Energy spectrum of a harmonically trapped two-atom system with spin-orbit coupling
• Quantum-classical correspondence of a system of interacting bosons in a triple-well potential
• Nuclear scattering via quantum computing
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• Hyperspherical explicitly correlated Gaussian approach for few-body systems with finite angular momentum
• Probing the edge between integrability and quantum chaos in interacting few-atom systems
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• Impact of geometry on many-body localization
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