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Nonadiabatic fluctuation in the measured geometric phase

2009/03/31 by Qing Ai, Wenyi Huo, Gui Lu Long +1
Computer Science · Mathematics · Physics and Astronomy · #Adiabatic process #Adiabatic theorem #Geometric phase #Limit (mathematics) #Mathematical analysis #Mathematics #Observable #Phase (matter) #Physics #Physics of Superconductivity and Magnetism #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum mechanics #Statistical physics #cond-mat.mes-hall #quant-ph

paper · pdf · doi:10.1103/physreva.80.024101

published as Phys. Rev. A 80, 024101 (2009) · 4 pages, 3 figures

arxiv created 2009/04/01 · openalex publication_date 2009/08/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study how the nonadiabatic 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 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, J. M. Fink, A. Blais, R. Bianchetti, M. G"oppl, J. M. Gambetta, D. I. Schuster, L. Frunzio, R. J. Schoelkopf, and A. Wallraf, Science 318, 1889 (2007)], which seemed to be regarded as the conventional experimental error.

Citations