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OKC - Theory Working Group

Tuneable chaos in SYK model with complex fermions

by Dileep Jatkar (Harish-Chandra Research Institute)

A5:1041 (Cops seminar room) ()

A5:1041 (Cops seminar room)

We study a complex fermion model with SYK like interaction, in the presence of a chemical potential. In the large q-limit we can solve the model and obtain the Lyapunov exponent using semi-analytic methods.  We find that the Lyapunov exponent is a sensitive function of the chemical potential.  By appropriately adjusting the couplings and the chemical potential, the Lyapunov exponent can be tuned to any value below the bound.