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arXiv · 2006.05638

Spectral Form Factor for Time-dependent Matrix model

Arkaprava Mukherjee·Shinobu Hikami
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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 $M_1$ and $M_2$. The numerical evaluation for finite $N$ and analytic expression in the large $N$ are compared for the spectral form factor.

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Arkaprava Mukherjee, Shinobu Hikami. 2020-06-10. Spectral Form Factor for Time-dependent Matrix model. https://doi.org/10.1007/jhep03(2021)071

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