Abstract
The quantum chaos is related to a Gaussian random matrix model, which shows a dip-ramp-plateau behavior in the spectral form factor for the large size N. The spectral form factor of time dependent Gaussian random matrix model shows also dip-ramp-plateau behavior with a rounding behavior instead of a kink near Heisenberg time. This model is converted to two matrix model, made of M1 and M2. The numerical evaluation for finite N and analytic expression in the large N are compared for the spectral form factor.
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ArXiv ePrint: 2006.05638
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Mukherjee, A., Hikami, S. Spectral form factor for time-dependent matrix model. J. High Energ. Phys. 2021, 71 (2021). https://doi.org/10.1007/JHEP03(2021)071
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DOI: https://doi.org/10.1007/JHEP03(2021)071