Oliver Buerschaper

Research Interests

I am interested in topological phases of strongly correlated condensed matter systems and their applications to quantum information and computation. In order to study and classify the truly quantum order found in topological phases I employ tools such as tensor networks, Hopf algebras and quantum groups, and many-body entanglement theory.

Recent Publications

• O. Buerschaper, M. Mombelli, M. Christandl, M. Aguado. A hierarchy of topological tensor network states. J. Math. Phys. 54, 012201 (2013)
• R. Pfeifer, O. Buerschaper, S. Trebst, A. Ludwig, M. Troyer, G. Vidal. Translation invariance, topology, and protection of criticality in chains of interacting anyons. Phys. Rev. B 86, 155111 (2012)
• R. Pfeifer, P. Corboz, O. Buerschaper, M. Aguado, M. Troyer, G. Vidal. Simulation of anyons with tensor network algorithms. Phys. Rev. B 82, 115126 (2010)
• O. Buerschaper, M. Aguado. Mapping Kitaev's quantum double lattice models to Levin and Wen's string-net models. Phys. Rev. B 80, 155136 (2009)
• O. Buerschaper, M. Aguado, G. Vidal. Explicit tensor network representation for the ground states of string-net models. Phys. Rev. B 79, 085119 (2009)
• R. Orus, T.-C. Wei, O. Buerschaper, M. van den Nest. Topological order from geometric entanglement. arxiv: 1304.1339
• O. Buerschaper, M. Christandl, L. Kong, M. Aguado. Electric-magnetic duality and topological order on the lattice. arxiv: 1006.5823

Seminars

• Towards unconventional symmetries in tensor network states, State University of New York at Stony Brook (United States of America)
• Towards unconventional symmetries in tensor network states, Universidad Complutense de Madrid (Spain)
• Towards unconventional symmetries in tensor network states, Workshop on "Networking tensor networks", Benasque (Spain)
• On the structure of intrinsic topological order in 2D, University of Toronto (Canada)