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Seminar: Information Geometric Approach to the Re-normalisation Group - Prof Tobias Osborne, Leibniz Universitat Hannover, Germany

Presented by Prof Tobias Osborne, Institute for Theoretical Physics, Leibniz Universitat Hannover, Germany (invited by A/Prof Michael Bremner)

Abstract: We propose a general formulation of the re-normalisation group as a family of quantum channels that connect the microscopic physical world to the observable world at some scale. By endowing the set of quantum states with an operationally motivated information geometry, we induce the space of Hamiltonians with a corresponding metric geometry. The resulting structure allows one to quantify information loss along RG flows in terms of the distinguishability of thermal states. In particular, we introduce a family of functions, expressible in terms of two-point correlation functions, which are non-increasing along the flow. Among them, we study the speed of the flow, and its generalisation to infinite lattices. (Joint work with Cedric Beny.)

Short Bio: Tobias Osborne graduated from the University of Queensland in 1998 with a BSc (Hons I) in 1998 (UQ) and then completed his PhD in 2003 with Michael Nielsen on "Complex quantum systems and quantum information theory" (also at UQ). He then worked for two years as a postdoc in the Mathematics Department at the University of Bristol. In 2005 he moved to Royal Holloway, University of London as a lecturer. During 2009/2010 he was a fellow of the Wissenschaftskolleg zu Berlin. In 2010 he was appointed as a Professor in the Institut für Theoretische Physik (Institute for Theoretical Physics) at the Leibniz Universität Hannover.


21 September 2012
14:00 - 15:00
City - Broadway CB10 Level 4, Room 470
All Welcome
Barbara Munday

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