Relation between "phases" and "distance" in quantum evolution

Pati, Arun Kumar (1991) Relation between "phases" and "distance" in quantum evolution Physics Letters A, 159 (3). pp. 105-112. ISSN 0375-9601

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We discuss the dynamical phase and the geometric phase in relation to the geometric distance function for cyclic evolution of quantum states. For all cyclic evolution of quantum states, we have shown that the non-adiabatic geometric phase is the integral of the contracted length of the curve which the system traverses.

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