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Phys. Rev. Lett. 85, 3067–3071 (2000)

Off-Diagonal Geometric Phases

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Nicola Manini1,* and F. Pistolesi2,†
1European Synchrotron Radiation Facility, B.P. 220, F-38043 Grenoble Cedex, France
2Institut Laue Langevin, B.P. 156, F-38042 Grenoble Cedex 9, France

Received 5 November 1999; published in the issue dated 9 October 2000

We investigate the adiabatic evolution of a set of nondegenerate eigenstates of a parametrized Hamiltonian. Their relative phase change can be related to geometric measurable quantities that extend the familiar concept of Berry phase to the evolution of more than one state. We present several physical systems where these concepts can be applied, including an experiment on microwave cavities for which off-diagonal phases can be determined from published data.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.85.3067
DOI:
10.1103/PhysRevLett.85.3067
PACS:
03.65.Bz

*Electronic address: manini@sissa.it

Electronic address: pistoles@ill.fr