Berry phase for a spin 1/2 in a classical fluctuating field

Abstract

The effect of fluctuations in the classical control parameters on the Berry phase of a spin 1/2 interacting with a adiabatically cyclically varying magnetic field is analyzed. It is explicitly shown that in the adiabatic limit dephasing is due to fluctuations of the dynamical phase.

4 pages, 1 figure, published version

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• Holonomic Quantum Computation
• Geometric quantum computation with NMR
• Geometric Manipulation of Trapped Ions for Quantum Computation
• Detection of Geometric Phases in Superconducting Nanocircuits
• Universality in Quantum Computation
• Non-adiabatic conditional geometric phase shift with NMR
• Geometric phase in open systems
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