The shared universality of charged black holes and the many many-body SYK model

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 $q\to \infty$ SYK model and black holes.

References in corpus (36)

• A bound on chaos
• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Comments on the Sachdev-Ye-Kitaev model
• Black holes and the butterfly effect
• P-V criticality of charged AdS black holes
• Charged AdS Black Holes and Catastrophic Holography
• Holographic Superconductors
• Fast Scramblers
• Black hole chemistry: thermodynamics with Lambda
• An Investigation of AdS${}_2$ Backreaction and Holography
• Bekenstein-Hawking Entropy and Strange Metals
• Thermoelectric transport in disordered metals without quasiparticles: the SYK models and holography
• Universal $T$-linear resistivity and Planckian limit in overdoped cuprates
• A strongly correlated metal built from Sachdev-Ye-Kitaev models
• Soundness and completeness of quantum root-mean-square errors
• Thermodynamic signatures of quantum criticality in cuprates
• Critical Phenomena and Thermodynamic Geometry of RN-AdS Black Holes
• On the Dynamics of Near-Extremal Black Holes
• An introduction to the SYK model
• Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model
• P-V criticality of AdS black holes in a general framework
• Phase Diagram of Planar Matrix Quantum Mechanics, Tensor, and Sachdev-Ye-Kitaev Models
• Jackiw-Teitelboim Gravity and Rotating Black Holes
• Extremal and Near-Extremal Black Holes and Near-$CF{T}_1$
• Quantum order-by-disorder driven phase reconstruction in the vicinity of ferromagnetic quantum critical points
• Phases Of Melonic Quantum Mechanics
• Pressure and compressibility of conformal field theories from the AdS/CFT correspondence
• Phase transition and critical phenomena of black holes: A general approach
• Traversable wormhole and Hawking-Page transition in coupled complex SYK models
• Phase transition and chaos in charged SYK model
• On large $q$ expansion in the Sachdev-Ye-Kitaev model
• Spontaneous Breaking of $U(1)$ Symmetry in Coupled Complex SYK Models
• Thermalization of many many-body interacting SYK models
• Universality class of alternative phase space and Van der Waals criticality
• Comment on "Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model"
• Isobaric Critical Exponents: Test of Analyticity against NIST Reference Data

Cited by in corpus (10)

• Pole-skipping points in 2D gravity and SYK model
• Matching partition functions of deformed JT gravity and the cSYK model
• Dynamics and Charge Fluctuations in Large-q Sachdev-Ye-Kitaev Lattices
• Thermodynamic and Real-time Dynamic Properties of Complex Sachdev-Ye-Kitaev Model
• Thermodynamics and dynamics of coupled complex SYK models
• Current Correlations and Conductivity in SYK-Like Systems: An Analytical Study
• Strange Metal to Insulator Transitions in the Lowest Landau Level
• Universal non-equilibrium dynamics of pure states and density-dependent thermalization in Sachdev-Ye-Kitaev model
• Universal quench dynamics of lattice $q$ fermion Yukawa Sachdev-Ye-Kitaev model
• Gauging the complex SYK model