Pure states in the SYK model and nearly-$AdS_2$ gravity
By Ioanna Kourkoulou, J. Maldacena. 2017
165 citations recorded by the source corpus.
We consider pure states in the SYK model. These are given by a simple local condition on the Majorana fermions, evolved over an interval in Euclidean time to project on to low energy states. We find that "diagonal" correlators are exactly the same as thermal correlators at leading orders in the large $N$ expansion. We also describe "off diagonal" correlators that decay in time, and are given simply in terms of thermal correlators. We also solved the model numerically for low values of $N$ and noticed that subsystems become typically entangled after an interaction time. In addition, we identified configurations in two dimensional nearly-$AdS_2$ gravity with similar symmetries. These gravity configurations correspond to states with regions behind horizons. The region behind the horizon can be made accessible by modifying the Hamiltonian of the boundary theory using the the knowledge of the particular microstate. The set of microstates in the SYK theory with these properties generates the full Hilbert space.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/27b6c73d2c4a18f9adb85022c4484f5c328df739
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Citations in the corpus
- Replica wormholes and the black hole interior (2019, background): “This can be understood as a Z2 quotient of an ordinary two-sided black hole, with a particle of mass μ behind the horizon [48].”
- Eternal traversable wormhole (2018, background): “For the reasons explained in [5], this interaction produces negative energy in the bulk, see also [22, 23, 24, 25, 26].”