DAN OTVORENIH VRATA FIZIČKOG ODSJEKA
5. 4. 2019.
PMF - Fizički odsjek
Bijenička c. 32
HR-10 000 Zagreb
Institute of Science and Technology Austria (IST Austria)
Emergence of non-Abelian magnetic monopoles and Anyonic statistics in quantum impurity problems
Place: Fizički odsjek, Plava soba (1. kat)
Time: Thursday, 13. 12. 2018., 15h
By virtue of emergent gauge fields in quantum impurity problems, we demonstrate that in experimentally realized regime the angulon, a quantum rotor dressed by bosonic excitations, can be seen as a point charge on a twosphere interacting with a gauge field of non-Abelian monopole. We find a topological transition associated with making the monopole Abelian, which takes place in the vicinity of the previously reported angulon instabilities. Furthermore, we show that identical impurities interacting with a twodimensional many-particle environment obey anyonic statistics.
In particular, we find that the bath manifests itself as an external magnetic flux tube with respect to the impurities, and hence the time-reversal symmetry is broken for the effective Hamiltonian describing the impurities. The emerging flux tube acts as a statistical gauge field after a certain critical coupling such that each of the impurities can be viewed as a flux-tube-charged-particle composite described by fractional statistics. The proposed setup paves the way to realizing anyons using electrons interacting with superfluid helium or lattice phonons, as well as using atomic impurities in ultracold gases.