Black Hole States in Quantum Spin Chains

TL;DR

This paper explores black hole states within quantum spin chains, analyzing their thermal and complexity properties through entanglement entropy, emptiness formation probability, and Krylov complexity, revealing insights into thermalization and entanglement growth.

Contribution

It introduces a framework for defining black hole states in spin chains and investigates their properties using holographic methods and quantum information measures.

Findings

Entanglement entropy grows logarithmically with effective central charge

Evidence of thermalization at infinite temperature

Analysis of complexity measures in black hole states

Abstract

We define a black hole state in a spin chain by studying thermal correlators in holography. Focusing on the Heisenberg model we investigate the thermal and complexity properties of the black hole state by evaluating its entanglement entropy, emptiness formation probability and Krylov complexity. The entanglement entropy grows logarithmically with effective central charge c=5.2. We find evidence for thermalization at infinite temperature.