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.
Off-diagonal geometric phases / N. Manini, F. Pistolesi. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 85:15(2000), pp. 3067-3071. [10.1103/PhysRevLett.85.3067]
Off-diagonal geometric phases
N. ManiniPrimo
;
2000
Abstract
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.
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