Strange metals and black holes: insights from the Sachdev-Ye-Kitaev model

TL;DR

This paper reviews how the Sachdev-Ye-Kitaev model offers a solvable framework for understanding complex quantum entanglement, shedding light on strange metals and black hole quantum states.

Contribution

It demonstrates the model's role in developing universal descriptions of strange metals and providing insights into black hole quantum states.

Findings

Unified understanding of strange metals and black holes

Development of universal models for strange metals

New insights into quantum states of black holes

Abstract

Complex many-particle quantum entanglement is a central theme in two distinct major topics in physics: the strange metal state found in numerous correlated electron compounds, and the quantum theory of black holes in Einstein gravity. The Sachdev-Ye-Kitaev model provides a solvable theory of entangled many-particle quantum states without quasiparticle excitations. This article reviews how this toy model has led to realistic universal models of strange metals, and to new insights on the quantum states of black holes.