| Issue |
EPL
Volume 78, Number 6, June 2007
|
|
|---|---|---|
| Article Number | 60004 | |
| Number of page(s) | 6 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/78/60004 | |
| Published online | 29 May 2007 | |
Non-Abelian generalization of off-diagonal geometric phases
1
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
Received:
12
March
2007
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
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