Off-Diagonal Geometric Phases

Abstract

We investigate the adiabatic evolution of a set of non-degenerate eigenstates of a parameterized 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.

5 pages 2 figures - RevTeX. Revised version including geometrical interpretation

References in corpus (1)

• Bargmann Invariants and Geometric Phases - a Generalised Connection

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