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Details of Grant 

EPSRC Reference: EP/D065518/1
Title: New developments in correlation functions of integrable lattice models
Principal Investigator: Korff, Dr C
Other Investigators:
Researcher Co-Investigators:
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Department: Sch of Engineering and Mathematical Sci
Organisation: City, University of London
Scheme: Mathematical Sciences Small Gr
Starts: 10 March 2006 Ends: 09 June 2006 Value (£): 5,233
EPSRC Research Topic Classifications:
Algebra & Geometry Mathematical Physics
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
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Panel History:  
Summary on Grant Application Form
Physical systems which involve many particles can often not be solved explicitly. Instead one has to rely either on approximate or numerical methods. For a certain type of systems, called integrable, there exist particular mathematical structures and symmetries which facilitate the exact and explicit description. Most integrable systems are low-dimensional, for instance a one-dimensional chain of coupled atoms with magnetic spin. Physicists are interested in computing correlations between these spins. One particular example is the probability to find two spins separated by a certain distance to be aligned. This information allows one to make predictions about magnetic or transport properties of low-dimensional quantum systems. Spin-chains serve also as toy models for quantum information and the study of quantum entanglement.In recent years there has been remarkable progress in the understanding of the mathematical structure of correlation functions for spin-chains. This proposal aims at bringing one of the international leading experts in this area to the UK to disseminate these new developments, initiate collaborations and new research projects.
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Organisation Website: http://www.city.ac.uk