Black Hole States in Quantum Spin Chains
arXiv:2512.23432
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.
6 pages, 5 figures; V2: a misprint corrected, references added; V3: thermalization for a non-integrable spin chain included, comments on the Hilbert space dimension in connection to Krylov complexity