The finite-N spectrum of the two coupled SYK model organizes into operator-size clusters that underlie the conformal towers, revival dynamics, and wormhole-black hole transition.
Floquet SYK wormholes
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abstract
We study the non-equilibrium dynamics of two coupled SYK models, conjectured to be holographically dual to an eternal traversable wormhole in AdS$_2$. We consider different periodic drivings of the parameters of the system. We analyze the energy flows in the wormhole and black hole phases of the model as a function of the driving frequency. Our numerical results show a series of resonant frequencies in which the energy absorption and heating are enhanced significantly and the transmission coefficients drop, signalling a closure of the wormhole. These frequencies correspond to part of the conformal tower of states and to the boundary graviton of the dual gravitational theory. Furthermore, we provide evidence supporting the existence of a hot wormhole phase between the black hole and wormhole phases. When driving the strength of the separate SYK terms we find that the transmission can be enhanced by suitably tuning the driving.
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Size Operator and Spectral Clustering in the Two Coupled SYK Model
The finite-N spectrum of the two coupled SYK model organizes into operator-size clusters that underlie the conformal towers, revival dynamics, and wormhole-black hole transition.