Few-body Physics in a Many-body World

Abstract

The study of quantum mechanical few-body systems is a century old pursuit relevant to countless subfields of physics. While the two-body problem is generally considered to be well-understood theoretically and numerically, venturing to three or more bodies brings about complications but also a host of interesting phenomena. In recent years, the cooling and trapping of atoms and molecules has shown great promise to provide a highly controllable environment to study few-body physics. However, as is true for many systems where few-body effects play an important role the few-body states are not isolated from their many-body environment. An interesting question then becomes if or (more precisely) when we should consider few-body states as effectively isolated and when we have to take the coupling to the environment into account. Using some simple, yet non-trivial, examples I will try to suggest possible approaches to this line of research.

6 pages, 3 figures, Proceedings of the 22nd European Conference on Few-Body Problems in Physics, Krakow, Poland, 9-13 September 2013

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Cited by in corpus (17)

• Tunable dual-species Bose-Einstein condensates of ${}^{39}$K and ${}^{87}$Rb
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Polaronic atom-trimer continuity in three-component Fermi gases
• Universal three-body physics in ultracold KRb mixtures
• Three-body interaction of Rydberg slow light polaritons
• Exact dynamics of two ultra-cold bosons confined in a one-dimensional double-well potential
• Few-body quantum method in a $d$-dimensional space
• Diffusion in a system of a few distinguishable fermions in a one-dimensional double-well potential
• Quantum few-body bound states of dipolar particles in a helical geometry
• Slightly imbalanced system of a few attractive fermions in a one-dimensional harmonic trap
• Quantum collision theory in flat bands
• Three-body problem in a multiband Hubbard model
• The Goldilocks model of separable, zero-range, few-body interactions in one-dimensional harmonic traps
• Correlated Gaussian Approach to Anisotropic Resonantly Interacting Few-Body Systems
• Efimov states in Li-Cs mixtures within a minimal model
• Exploring universal and non-universal regimes of trimers from three-body interactions in one-dimensional lattices
• Many-Body Effects in Models with Superexponential Interactions