Volume 78, Number 6, June 2007
|Number of page(s)||6|
|Published online||29 May 2007|
Non-Abelian generalization of off-diagonal geometric phases
Department of Quantum Chemistry, Uppsala University - Box 518, Se-751 20 Uppsala, Sweden
2 Centre for Quantum Computation, Department of Applied Mathematics and Theoretical Physics, University of Cambridge - Wilberforce Road, Cambridge CB3 0WA, UK
Accepted: 2 May 2007
If a quantum system evolves in a noncyclic fashion the corresponding geometric phase or holonomy may not be fully defined. Off-diagonal geometric phases have been developed to deal with such cases. Here, we generalize these phases to the non-Abelian case, by introducing off-diagonal holonomies that involve evolution of more than one subspace of the underlying Hilbert space. Physical realizations of the off-diagonal holonomies in adiabatic evolution and interferometry are put forward.
PACS: 03.65.Vf – Phases: geometric; dynamic or topological
© Europhysics Letters Association, 2007
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.