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• W4320486560 abstract "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-non-chaotic 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 mean field van der Waals critical and effective exponents. We find that all analogous power laws are shared with several charged AdS black hole phase transitions. Together, these findings indicate a connection between the charged $qtoinfty$ SYK model and black holes." @default.
• W4320486560 created "2023-02-14" @default.
• W4320486560 creator A5005599298 @default.
• W4320486560 creator A5014213361 @default.
• W4320486560 date "2023-02-13" @default.
• W4320486560 modified "2023-09-27" @default.
• W4320486560 title "Shared universality of charged black holes and the complex large- <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>q</mml:mi></mml:math> Sachdev-Ye-Kitaev model" @default.
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• W4320486560 doi "https://doi.org/10.1103/physrevb.107.075132" @default.
• W4320486560 hasPublicationYear "2023" @default.
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