The Spin SYK Model

Explore the intricacies of the Spin SYK Model in this 50-minute high energy theory seminar presented by Michael Winer from the Institute for Advanced Study. Delve into the analysis of a qubit model with an emergent quantum gravitational description similar to the fermionic Sachdev-Ye-Kitaev (SYK) model. Examine the quantum q-spin model, featuring q-local interactions between qubits, and discover its unexpected SYK-like behavior for the quenched free energy at low temperatures when q≥5. Learn about power-law correlation functions and extensive low temperature entropy in this model. Investigate the generic nature of the model, including all possible q-body couplings, lack of symmetries, and absence of spatial structure. Gain insights into the ubiquity of quantum holography in systems dominated by many-body interactions. Explore a generalized family of models that includes the Spin SYK Model and exhibits SYK-like physics in the solvable limit of large local Hilbert space dimension. Consider the implications of a bosonic system with SYK-like properties for the study of holography, Hamiltonian complexity, and related topics.