Quantum Information and Black Holes- the Sachdev-Ye-Kitaev (SYK) Model
Abstract
The Sachdev-Ye-Kitaev (SYK) model plays a crucial role in understanding both the physics of strange metals and the microscopic theory of two-dimensional quantum gravity. This strongly interacting quantum many-body system, characterized by random all-to-all couplings, is analytically tractable and is famous for its connection to black hole physics. Recently, we investigated complexity transitions in an interpolated (mass-deformed) variant of the SYK model, incorporating both four-body (SYK-4) and two-body (SYK-2) interactions. Using various quantum information tools that include entanglement measures, the universality of entanglement spectrum statistics, entanglement spectrum anti-flatness, and non-stabilizerness we characterize the distinctions between ground states and highly excited states within the model’s spectrum.
