Topology and Anyons in Few-Body Systems

Datum

19.06.2019

Zeit

15:30 - 16:30

Sprecher

Nathan Harshman

Zugehörigkeit

American University, Washington DC

Sprache

en

Hauptthema

Physik

Andere Themen

Physik

Beschreibung

Normally, particle exchanges obey statistics given by the symmetric group of particle permutations and indistinguishable particles behave like bosons or fermions. In contrast, anyons have generalized exchange statistics determined by a different group that arises from the topology of few-body configuration space. Specifically, when the few-body configuration space is not simply-connected, then generalized exchange statistics can arise. Fractional exchange statistics given by the braid group are the most famous kind of anyon, but there are others that could be implemented with cold atoms in optical traps and engineered interactions. This talk will describe how the shape of the trap, the defects caused by particle interactions, and indistinguishability can induce non-trivial connectivity in configuration space and lead to different families of anyons with different generalized exchange statistics and physical properties.

Letztmalig verändert: 24.06.2019, 15:17:27