SYK model, chaos and conserved charge
- 89 Downloads
We study the SYK model with complex fermions, in the presence of an all-to-all q-body interaction, with a non-vanishing chemical potential. We find that, in the large q limit, this model can be solved exactly and the corresponding Lyapunov exponent can be obtained semi-analytically. The resulting Lyapunov exponent is a sensitive function of the chemical potential μ. Even when the coupling J, which corresponds to the disorder averaged values of the all to all fermion interaction, is large, values of μ which are exponentially small compared to J lead to suppression of the Lyapunov exponent.
Keywords1/N Expansion Field Theories in Lower Dimensions Renormalization Group
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
- S. Strogatz, Nonlinear dynamics and chaos, Perseus Books, New York, U.S.A., (1994).Google Scholar
- A. Kitaev, A simple model of quantum holography (part 1), talk at KITP, http://online.kitp.ucsb.edu/online/entangled15/kitaev/, University of California, Santa Barbara CA U.S.A., 7 April 2015.
- A. Kitaev, A simple model of quantum holography (part 2), talk at KITP, http://online.kitp.ucsb.edu/online/entangled15/kitaev2/, University of California, Santa Barbara CA U.S.A., 27 May 2015.