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TT: Fachverband Tiefe Temperaturen

TT 28: Correlated Electrons: Theory 1

TT 28.7: Talk

Thursday, September 8, 2022, 11:30–11:45, H23

The shared universality of charged black holes and the many many-body SYK model — •Jan Louw — Institute for Theoretical Physics, Georg-August-Universität Goettingen, Friedrich-Hund-Platz 1, 37077 Goettingen, Germany

We investigate the charged q/2-body interacting Sachdev-Ye-Kitaev (SYK) model in the grand-canonical ensemble. By treating q as a large parameter, we are able to analytically study its phase diagram. By varying the chemical potential or temperature, we find that the system undergoes a phase transition between low and high entropies, in the maximally chaotic regime. A similar transition in entropy is seen in charged AdS black holes transitioning between a large and small event horizon. Approaching zero temperature, we find a first-order chaotic-to-integrable quantum phase transition, where the finite extensive entropy drops to zero. This again has a gravitational analogue--the Hawking-Page (HP) transition between a large black hole and thermal radiation. An analytical study of the critical phenomena associated with the continuous phase transition provides us with two sets of critical exponents. These sets define two separate universality classes, both of which include several charged AdS black hole phase-transitions. Together, these findings indicate a connection between the charged large q SYK model and black holes.