ELFT HÍRADÓ

[Andras Palyi <palyi.andras AT ttk.bme.hu>]

Dear Colleagues, 

Next Tuesday at 14:15 the BME Exotic Quantum Phases seminar continues with 
this talk:

    Enderalp Yakaboylu (Garching)
    Molecular Impurities as a Realization of Anyons on the Two-Sphere

online in Teams
Time: Jan 18, Tuesday, 14:15
Abstract: see below

Click here to join the talk in Teams 
<https://teams.microsoft.com/l/meetup-join/19:e5b4bc3bfad5455ab5bd3f05b8919933 AT thread.tacv2/1642347865350?context=%7B%22Tid%22:%226a3548ab-7570-4271-91a8-58da00697029%22,%22Oid%22:%22f8b27e90-dbca-4bb5-813c-d6415577ec35%22%7D>

Best regards,
Andras Palyi

= = = 

Enderalp Yakaboylu (Garching)
Molecular Impurities as a Realization of Anyons on the Two-Sphere

Studies on experimental realization of two-dimensional anyons in terms of 
quasiparticles have been restricted, so far, to only anyons on the plane. It 
is known, however, that the geometry and topology of space can have 
significant effects on quantum statistics for particles moving on it. In this 
talk, I will show that the emerging fractional statistics for particles 
restricted to move on the sphere, instead of on the plane, arises naturally 
in the context of quantum impurity problems. In particular, I will 
demonstrate a setup in which the lowest-energy spectrum of two linear bosonic 
molecules immersed in a quantum many particle environment can coincide with 
the anyonic spectrum on the sphere. This paves the way towards experimental 
realization of anyons on the sphere using molecular impurities. Finally, I 
will present an approach to interacting quantum many-body systems based on 
the notion of quantum groups, also known as q-deformed Lie algebras. In 
particular, I will exemplify this approach by considering a quantum rotor 
interacting with a bath of bosons.