Switching of Geometric Phase in Degenerate Systems

Details Switching of Geometric Phase in Degenerate Systems Switching of Geometric Phase in Degenerate Systems

2000-07-12

arxiv.org/abs/cond-mat/0007204v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

15 pages, 4 figures,accepted by Physics Letters A (2000)

Scientific paper

10.1016/S0375-9601(00)00425-4

The geometric and open path phases of a four-state system subject to time varying cyclic potentials are computed from the Schr\"{o}dinger equation. Fast oscillations are found in the non-adiabatic case. For parameter values such that the system possesses degenerate levels, the geometric phase becomes anomalous, undergoing a sign switch. A physical system to which the results apply is a molecular dimer with two interacting electrons. Additionally, the sudden switching of the geometric phase promises to be an efficient control in two-qubit quantum computing.

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