Abstract
A method for geometric phase estimation from the scalar vector product of the initial- and final-state vectors of a system is proposed. The method is based on the time-frequency distribution, namely, the short-time Fourier transform (STFT) of a complex signal. By adjusting the width of the analysis window of the STFT, an estimated geometric phase can be obtained which closely matches a true geometric phase. The computational algorithm for geometric phase decomposition based on the Gabor expansion is presented. Numerical results are verified by several examples of geometric phase decompositions for SU(2) evolutions.
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