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Past Events
Joint Seminar: Center of Theoretical and Computational Physics & Physics Department
Explicit Illustration of Non-abelian Anyons in Tetrahedrons' Spin Lattice
| Speaker: | Prof. Yue YU |
| Affiliation: | Institute of Theoretical Physics, Chinese Academy of Sciences |
| Date: | January 13, 2009 (Tue) |
| Time: | 4:00-5:00 p.m. |
| Venue: | Room 522, 5/F, Chong Yuet Ming Physics Building, HKU |
Abstract:
Non-abelian anyons are candidates for decoherence-free qubits in fault-tolerant topological quantum computation. A simple and explicit expression of non-abelian anyons with experimental achievable quantities is essential to design such a quantum computer. Towards this expression, we first illustrate the vortex solutions with real space spin configurations in a tetrahedron spin model. These vortices are exact eigen states of this small spin lattice model and obey non-abelian fusion rules. To substantiate the nonabelian anyons, we generalize the single tetrahedron model to a chain model of tetrahedrons on a torus. We find that the non-abelian vortices may be regarded as well-defined non-abelian anyons. Since these anyons are exhibited by real space spin configurations, they can be realized by means of recently developed experimental techniques. The explicit expression of the non-abelian fusion rules also gives an intuitional picture to these abstract field theoretical contexts.
Coffee and tea will be served 20 minutes prior to the seminar.