Few-body, hyperspherical treatment of the quantum Hall effect

Wooten, Rachel; Daily, K. M.; Greene, Chris H.

doi:10.1051/epjconf/201611302006

Cited by 1 publication

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“…• (10) Further insights are also desired for systems such as the few-body version of the fractional quantum Hall problem, both in condensed matter sys-tems and in ultracold atomic systems. Initial studies by (Daily et al, 2015b;Rittenhouse et al, 2016;Wooten et al, 2016) into that subject from the adiabatic hyperspherical perspective suggest that the corresponding 2D N -particle Schrödinger equation nearly separates in the hyperradial degree of freedom, both for bosons and fermions, as can be deduced from potential energy curves in those references. Moreover, some of the intriguing degeneracy patterns observed in that problem are deserving of further exploration.…”

Section: Discussionmentioning

confidence: 99%

Universal few-body physics and cluster formation

2017

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A recent rejuvenation of experimental and theoretical interest in the physics of few- body systems has provided deep, fundamental insights into a broad range of problems. Few-body physics is a cross-cutting discipline not restricted to conventional subject ar- eas such as nuclear physics or atomic or molecular physics. To a large degree, the recent explosion of interest in this subject has been sparked by dramatic enhancements of experimental capabilities in ultracold atomic systems over the past decade, which now permit atoms and molecules to be explored deep in the quantum mechanical limit with controllable two-body interactions. This control, typically enabled by magnetic or electromagnetically-dressed Fano-Feshbach resonances, allows in particular access to the range of universal few-body physics, where two-body scattering lengths far exceed all other length scales in the problem. The Efimov effect, where 3 particles experienc- ing short-range interactions can counterintuitively exhibit an infinite number of bound or quasi-bound energy levels, is the most famous example of universality. Tremendous progress in the field of universal Efimov physics has taken off, driven particularly by a combination of experimental and theoretical studies in the past decade, and prior to the first observation in 2006, by an extensive set of theoretical studies dating back to 1970. Because experimental observations of Efimov physics have usually relied on resonances or interference phenomena in three-body recombination, this connects naturally with the processes of molecule formation in a low temperature gas of atoms or nucleons, and more generally with N-body recombination processes. Some other topics not closely related to the Efimov effect are also reviewed in this article, including ...Comment: review articl

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Section: Discussionmentioning

confidence: 99%