Non-Adiabatic Fluctuation in Measured Geometric Phase

Abstract

We study how the non-adiabatic effect causes the observable fluctuation in the "geometric phase" for a two-level system, which is defined as the experimentally measurable quantity in the adiabatic limit. From the Rabi's exact solution to this model, we give a reasonable explanation to the experimental discovery of phase fluctuation in the superconducting circuit system [P. J. Leek, \textit{et al}., Science \textbf{318}, 1889 (2007)], which seemed to be regarded as the conventional experimental error.

4 pages, 3 figures

References in corpus (4)

• Geometric quantum computation with NMR
• Observation of Berry's Phase in a Solid State Qubit
• Berry phase for a spin 1/2 in a classical fluctuating field
• High-Order Adiabatic Approximation for Non-Hermitian Quantum System and Complexization of Berry's Phase

Cited by in corpus (5)

• Quantum information processing on nitrogen-vacancy ensembles with the local resonance assisted by circuit QED
• Geometric phases in superconducting qubits beyond the two-level-approximation
• Quantum simulation of clustered photosynthetic light harvesting in a superconducting quantum circuit
• Higher-order geometric phase for qubits in a bichromatic field
• Universal quantum gates by nonadiabatic holonomic evolution for the surface electron