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A Geometric Meaning to the Probabilities of Two-State Quantum Systems

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Published under licence by IOP Publishing Ltd
, , Citation A. K. Pati and A. Joshi 1993 EPL 21 723 DOI 10.1209/0295-5075/21/7/002

0295-5075/21/7/723

Abstract

We show that the state occupation probabilities for a quantum system undergoing oscillation between two of its degenerate states do not depend on the particular choice of the Hamiltonian used to induce the transition as long as the energy fluctuation remains the same. In fact, the occupation probabilities are related to the distance measured by the Fubini-Study metric, which assigns a geometric meaning to them.

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10.1209/0295-5075/21/7/002