Abstract
We study chaotic-integrable transition and the nature of quantum chaos in SYK model with chemical potential. We use a novel numerical technique to calculate the partition function explicitly. We show the phase transition in the presence of large chemical potential. We also show that a mass-like term consisting of two fermion random interaction (q = 2 SYK term) does not give rise to a sharp transition. We find that turning on the chemical potential suppresses the Lyapunov exponent in the chaotic phase exponentially.
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Sorokhaibam, N. Phase transition and chaos in charged SYK model. J. High Energ. Phys. 2020, 55 (2020). https://doi.org/10.1007/JHEP07(2020)055
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DOI: https://doi.org/10.1007/JHEP07(2020)055