Thermoelectric power of Sachdev-Ye-Kitaev islands: Probing Bekenstein-Hawking entropy in quantum matter experiments

Abstract

The Sachdev-Ye-Kitaev (SYK) model describes electrons with random and all-to-all interactions, and realizes a many-body state without quasiparticle excitations, and a non-vanishing extensive entropy $S_0$ in the zero temperature limit. Its low energy theory coincides the low energy theory of the near-extremal charged black holes with Bekenstein-Hawking entropy $S_0$. Several mesoscopic experimental configurations realizing SYK quantum dynamics over a significant intermediate temperature scale have been proposed. We investigate quantum thermoelectric transport in such configurations, and describe the low temperature crossovers out of SYK criticality into regimes with either Fermi liquid behavior, a Coulomb blockade, or criticality associated with Schwarzian quantum gravity fluctuations. Our results show that thermopower measurements can serve as a direct probe for $S_0$.

11 pages, 4 figures; (v2) rewritten, with new results on charging energy and Schwarzian fluctuations

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Cited by in corpus (32)

• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• Many-Body Chaos in the Sachdev-Ye-Kitaev Model
• Large $N$ theory of critical Fermi surfaces
• Quantum Phase Transition in the Yukawa-SYK Model
• Traversable wormhole and Hawking-Page transition in coupled complex SYK models
• Excitation spectra of quantum matter without quasiparticles I: Sachdev-Ye-Kitaev models
• Spectral Fluctuations in the Sachdev-Ye-Kitaev Model
• Genuine quantum advantage in non-linear bosonic quantum batteries
• Skewed Non-Fermi Liquids and the Seebeck Effect
• Quantum tunneling dynamics in a complex-valued Sachdev-Ye-Kitaev model quench-coupled to a cool bath
• Scrambling and decoding the charged quantum information
• Toward simulating Superstring/M-theory on a quantum computer
• Quantum Batteries: A Materials Science Perspective
• Tunneling through an Eternal Traversable Wormhole
• Refined quantum Lyapunov exponents from replica out-of-time-order correlators
• Engineering SYK interactions in disordered graphene flakes under realistic experimental conditions
• Magneto-Thermoelectric Transport in Graphene Quantum Dot with Strong Correlations
• Quantum thermal transport in the charged Sachdev-Ye-Kitaev model: Thermoelectric Coulomb blockade
• Quantum advantage in batteries for Sachdev-Ye-Kitaev interactions
• Conductance and thermopower fluctuations in interacting quantum dots
• Floquet SYK wormholes
• SYK does not Transit Gloria Mundi just yet
• Normal and superconducting currents through the Sachdev-Ye-Kitaev model
• Universal relations between thermoelectrics and noise in mesoscopic transport across a tunnel junction
• Non-Equilibrium Steady States and Quantum Chaos in a three-site Driven-Dissipative Bose-Hubbard Chains base on Self-Consistent Mean-Field Approach
• More on Complex Sachdev-Ye-Kitaev Eternal Wormholes
• Thermopower across Fermi-volume-changing quantum phase transitions without translational symmetry breaking
• Sachdev-Ye-Kitaev physics from the Hubbard model: A Floquet engineering approach
• Noise signatures of a charged Sachdev-Ye-Kitaev dot in mesoscopic transport
• Near-Equilibrium Approach to Transport in Complex Sachdev-Ye-Kitaev Models
• Josephson current through the SYK model
• A proposal to extract and enhance four-Majorana interactions in hybrid nanowires