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- W1969072227 abstract "A soliton-gas model is proposed to describe the orderly energy-level structures in quantum chaos. By diagonalizing the model Hamilton matrix, we show that our model leads to the transition from Poisson to GOE-like level-spacing distribution in the small spacing regime and that this transition depends on both the soliton density and the fluctuation of acceleration induced by collisions of solitons. Fitting of spectral rigidity (what is called Δ-statistics) in the transition regime to a theoretically proposed one is also carried out. In this case, it does not come to fit to the Gaussian orthogonal ensemble prediction. This can be considered to reflect the coherent nature of solitons lying behind the irregular spectra. Reflecting the fact that the number of levels is large, saturation of the rigidity is not observed. In addition, we discuss a possibility of applying our model to the recent experiment on diamagnetic Rydberg atoms." @default.
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- W1969072227 date "1992-12-15" @default.
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- W1969072227 title "Description of Quantum Irregular Spectra by Soliton-Gas Picture" @default.
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- W1969072227 doi "https://doi.org/10.1143/jpsj.61.4325" @default.
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